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Chapters
▶ 2: Factors and Multiples
3: Whole Numbers
4: Integers
Chapter 5: Fractions
6: Simplification
7: Decimals
8: Algebraic Expressions
9: Linear Equation in One Variable
10: Ratio, Proportion and Unitary Method
Chapter 11: Line Segment, Ray and Line
Chapter 12: Parallel Lines
Chapter 13: Angles and Their Measurement
Chapter 14: Constructions (Using Ruler and a Pair of Compasses)
Chapter 15: Polygons
Chapter 16: Triangles
Chapter 17: Quadrilaterals
Chapter 18: Circles
Chapter 19: Three-Dimensional Shapes
Chapter 20: Two-Dimensional Reflection Symmetry (Linear Symmetry)
Chapter 21: Concept of Perimeter and Area
Chapter 22: Data Handling
Chapter 23: Pictograph
Chapter 24: Bar Graph
![R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 2 - Factors and Multiples - Shaalaa.com](/images/mathematics-english-class-6_6:33c16d70f7d44841a2f75f8a6c346822.jpg "R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 2 - Factors and Multiples")
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Solutions for Chapter 2: Factors and Multiples
Below listed, you can find solutions for Chapter 2 of CBSE R.S. Aggarwal for Mathematics [English] Class 6.
R.S. Aggarwal solutions for Mathematics [English] Class 6 2 Factors and Multiples Exercise 2A [Pages 25 - 26]
Define: (i) factor (ii) multiple. Give five examples of each.
Write down the factors of 20.
Write down the factors of 36.
Write down the factors of 60.
Write down the factors of 75.
Write the first five multiples of the following number:
17
Write the first five multiples of the following number:
23
Write the first five multiples of the following number:
65
Write the first five multiples of the following number:
70
State if the following number is even or odd.
32
Even
Odd
State if the following number is even or odd.
37
Even
Odd
State if the following number is even or odd.
50
Even
Odd
State if the following number is even or odd.
58
Even
Odd
State if the following number is even or odd.
69
Even
Odd
State if the following number is even or odd.
144
Even
Odd
State if the following number is even or odd.
144
Even
Odd
State if the following number is even or odd.
321
Even
Odd
State if the following number is even or odd.
253
Even
Odd
What are prime numbers? Give ten examples.
Write all the prime numbers between:
10 and 40
Write all the prime numbers between:
80 and 100
Write all the prime numbers between:
40 and 80
Write all the prime numbers between:
30 and 40
Write the smallest prime number.
List all even prime numbers.
Write the smallest odd prime number.
Find if the following number is a prime number:
87
Find if the following number is a prime number:
89
Find if the following number is a prime number:
63
Find if the following number is a prime number:
91
Make a list of seven consecutive numbers, none of which is prime.
Is there any counting number having no factor at all?
Find all the numbers having exactly one factor.
Find numbers between 1 and 100 having exactly three factors.
What are composite numbers? Can a composite number be odd? If yes, write the smallest odd composite number.
What are twin primes?
Write all the pairs of twin primes between 50 and 100
What are co-primes?
Give examples of five pairs of co-primes.
Are co-primes always primes? If no, illustrate your answer by an example.
Express the following number as the sum of two odd prime:
36
Express the following number as the sum of two odd prime:
42
Express the following number as the sum of two odd prime:
84
Express the following number as the sum of two odd prime:
98
Express the following odd number as the sum of three odd prime number:
31
Express the following odd number as the sum of three odd prime number:
35
Express the following odd number as the sum of three odd prime number:
49
Express the following odd number as the sum of three odd prime number:
63
Express the following number as the sum of twin prime:
36
Express the following number as the sum of twin prime:
84
Express the following number as the sum of twin prime:
120
Express the following number as the sum of twin prime:
144
State the following statement is True or False.
1 is the smallest prime number.
True
False
State the following statement is True or False.
If a number is prime, it must be odd.
True
False
State the following statement is True or False.
The sum of two prime numbers is always a prime number.
True
False
State the following statement as True or False.
If two numbers are co-primes, at least one of them must be a prime number.
True
False
R.S. Aggarwal solutions for Mathematics [English] Class 6 2 Factors and Multiples Exercise 2B [Pages 29 - 30]
Test the divisibility of the following number by 2:
2650
Test the divisibility of the following number by 2:
69435
Test the divisibility of the following number by 2:
59628
Test the divisibility of the following number by 2:
789403
Test the divisibility of the following number by 2:
357986
Test the divisibility of the following number by 2:
367314
Test the divisibility of the following number by 3:
733
Test the divisibility of the following number by 3:
10038
Test the divisibility of the following number by 3:
20701
Test the divisibility of the following number by 3:
524781
Test the divisibility of the following number by 3:
79124
Test the divisibility of the following number by 3:
872645
Test the divisibility of the following number by 4:
618
Test the divisibility of the following number by 4:
2314
Test the divisibility of the following number by 4:
63712
Test the divisibility of the following number by 4:
35056
Test the divisibility of the following number by 4:
946126
Test the divisibility of the following number by 4:
810524
Test the divisibility of the following numbers by 5:
4965
Test the divisibility of the following numbers by 5:
23590
Test the divisibility of the following numbers by 5:
35208
Test the divisibility of the following numbers by 5:
723405
Test the divisibility of the following numbers by 5:
124684
Test the divisibility of the following numbers by 5:
438750
Test the divisibility of the following numbers by 6:
2070
Test the divisibility of the following numbers by 6:
46523
Test the divisibility of the following numbers by 6:
71232
Test the divisibility of the following numbers by 6:
934706
Test the divisibility of the following numbers by 6:
251780
Test the divisibility of the following numbers by 6:
872536
Test the divisibility of the following numbers by 7:
826
Test the divisibility of the following numbers by 7:
117
Test the divisibility of the following numbers by 7:
2345
Test the divisibility of the following numbers by 7:
6021
Test the divisibility of the following numbers by 7:
14126
Test the divisibility of the following numbers by 7:
25368
Test the divisibility of the following numbers by 8:
9364
Test the divisibility of the following numbers by 8:
2138
Test the divisibility of the following numbers by 8:
36792
Test the divisibility of the following numbers by 8:
901674
Test the divisibility of the following numbers by 8:
136976
Test the divisibility of the following numbers by 8:
1790184
Test the divisibility of the following numbers by 9:
2358
Test the divisibility of the following numbers by 9:
3333
Test the divisibility of the following numbers by 9:
98712
Test the divisibility of the following numbers by 9:
257106
Test the divisibility of the following numbers by 9:
647514
Test the divisibility of the following numbers by 9:
326999
Test the divisibility of the following number by 10:
5790
Test the divisibility of the following number by 10:
63215
Test the divisibility of the following number by 10:
55555
Test the divisibility of the following number by 11:
4334
Test the divisibility of the following number by 11:
83721
Test the divisibility of the following number by 11:
66311
Test the divisibility of the following number by 11:
137269
Test the divisibility of the following number by 11:
901351
Test the divisibility of the following number by 11:
8790322
In the following number, replace * by the smallest number to make it divisible by 3:
27*4
In the following number, replace * by the smallest number to make it divisible by 3:
53*46
In the following number, replace * by the smallest number to make it divisible by 3:
8*711
In the following number, replace * by the smallest number to make it divisible by 3:
62*35
In the following number, replace * by the smallest number to make it divisible by 3:
234*17
In the following number, replace * by the smallest number to make it divisible by 3:
6*1054
In the following number, replace * by the smallest number to make it divisible by 9:
65*5
In the following number, replace * by the smallest number to make it divisible by 9:
2*135
In the following number, replace * by the smallest number to make it divisible by 9:
6702*
In the following number, replace * by the smallest number to make it divisible by 9:
91*67
In the following number, replace * by the smallest number to make it divisible by 9:
6678*1
In the following number, replace * by the smallest number to make it divisible by 9:
835*86
In the following number, replace * by the smallest number to make it divisible by 11:
26*5
In the following number, replace * by the smallest number to make it divisible by 11:
39*43
In the following number, replace * by the smallest number to make it divisible by 11:
86*72
In the following number, replace * by the smallest number to make it divisible by 11:
467*91
In the following number, replace * by the smallest number to make it divisible by 11:
1723*4
In the following number, replace * by the smallest number to make it divisible by 11:
9*8071
Test the divisibility of 1000001 by 11.
Test the divisibility of 19083625 by 11.
Test the divisibility of 2134563 by 9.
Test the divisibility of 10001001 by 3.
Test the divisibility of 10203574 by 4.
Test the divisibility of 12030624 by 8.
State if the following is a prime number?
103
State if the following is a prime number?
137
State if the following is a prime number?
161
State if the following is a prime number?
179
State if the following is a prime number?
217
State if the following is a prime number?
277
State if the following is a prime number?
331
State if the following is a prime number?
397
Give an example of a number which is divisible by 2 but not by 4.
Give an example of a number which is divisible by 4 but not by 8.
Give an example of a number which is divisible by both 2 and 8 but not by 16.
Give an example of a number which is divisible by both 3 and 6 but not by 18.
Write (T) for true and (F) for false against the following statement:
If a number is divisible by 4, it must be divisible by 8.
True
False
Write (T) for true and (F) for false against the following statement:
If a number is divisible by 8, it must be divisible by 4.
True
False
Write (T) for true and (F) for false against the following statement:
If a number divides the sum of two numbers exactly, it must exactly divide the numbers separately.
True
False
Write (T) for true and (F) for false against the following statement:
If a number is divisible by both 9 and 10, it must be divisible by 90.
True
False
Write (T) for true and (F) for false against the following statement:
A number is divisible by 18 if it is divisible by both 3 and 6.
True
False
Write (T) for true and (F) for false against the following statement:
If a number is divisible by 3 and 7, it must be divisible by 21.
True
False
Write (T) for true and (F) for false against the following statement:
The sum of two consecutive odd numbers is always divisible by 4.
True
False
Write (T) for true and (F) for false against the following statement:
If a number divides two numbers exactly, it must divide their sum exactly.
True
False
R.S. Aggarwal solutions for Mathematics [English] Class 6 2 Factors and Multiples Exercise 2C [Page 32]
Give the prime factorization of the following number:
12
Give the prime factorization of the following number:
18
Give the prime factorization of the following number:
48
Give the prime factorization of the following number:
56
Give the prime factorization of the following number:
90
Give the prime factorization of the following number:
136
Give the prime factorization of the following number:
252
Give the prime factorization of the following number:
420
Give the prime factorization of the following number:
637
Give the prime factorization of the following number:
945
Give the prime factorization of the following number:
1224
Give the prime factorization of the following number:
1323
Give the prime factorization of the following number:
8712
Give the prime factorization of the following number:
9317
Give the prime factorization of the following number:
1035
Give the prime factorization of the following number:
1197
Give the prime factorization of the following number:
4641
Give the prime factorization of the following number:
4335
Give the prime factorization of the following number:
2907
Give the prime factorization of the following number:
13915
R.S. Aggarwal solutions for Mathematics [English] Class 6 2 Factors and Multiples Exercise 2D [Page 36]
Find the HCF of the numbers in each of the following, using the prime factorization method:
84, 98
Find the HCF of the numbers in each of the following, using the prime factorization method:
170, 238
Find the HCF of the numbers in each of the following, using the prime factorization method:
504, 980
Find the HCF of the numbers in each of the following, using the prime factorization method:
72, 108, 180
Find the HCF of the numbers in each of the following, using the prime factorization method:
84, 120, 138
Find the HCF of the numbers in each of the following, using the prime factorization method:
106, 159, 371
Find the HCF of the numbers in each of the following, using the prime factorization method:
272, 425
Find the HCF of the numbers in each of the following, using the prime factorization method:
144, 252, 630
Find the HCF of the numbers in each of the following, using the prime factorization method:
1197, 5320, 4389
Find the HCF of the numbers in each of the following, using the division method:
58, 70
Find the HCF of the numbers in each of the following, using the division method:
399, 437
Find the HCF of the numbers in each of the following, using the division method:
1045, 1520
Find the HCF of the numbers in each of the following, using the division method:
1965, 2096
Find the HCF of the numbers in each of the following, using the division method:
2241, 2324
Find the HCF of the numbers in each of the following, using the division method:
658, 940, 1128
Find the HCF of the numbers in each of the following, using the division method:
754, 1508, 1972
Find the HCF of the numbers in each of the following, using the division method:
391, 425, 527
Find the HCF of the numbers in each of the following, using the division method:
1794, 2346, 4761
Show that the following pairs are co-primes:
59, 97
Show that the following pairs are co-primes:
161, 192
Show that the following pairs are co-primes:
343, 432
Show that the following pairs are co-primes:
512, 945
Show that the following pairs are co-primes:
385, 621
Show that the following pair is co-prime.
847, 1014
Find the greatest number which divides 615 and 963, leaving the remainder 6 in each case.
Find the greatest number which divides 2011 and 2623, leaving remainders 9 and 5 respectively.
Find the greatest number that will divide 445, 572 and 699, leaving remainders 4, 5, 6 respectively.
Reduce each of the following fraction to the lowest term:
`161/207`
Reduce each of the following fraction to the lowest term:
`517/799`
Reduce each of the following fraction to the lowest term:
`296/481`
Three pieces of timber, 42-m, 49-m and 63-m long, have to be divided into planks of the same length. What is the greatest possible length of each plank?
Three different containers contain 403 L, 434 L and 465 L of milk respectively. Find the capacity of a container which can measure the milk of all the containers in an exact number of times.
There are 527 apples, 646 pears, and 748 oranges. These are to be arranged in heaps containing the same number of fruits. Find the greatest number of fruits possible in each heap. How many heaps are formed?
Determine the longest tape which can be used to measure exactly the lengths 7 m, 3 m 85 cm, and 12 m 95 cm.
A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with square tiles of the same size. Find the least possible number of such tiles.
Find the HCF of
Two prime numbers
Find the HCF of
Two consecutive numbers
Find the HCF of
Two co-primes
Find the HCF of
2 and an even number
R.S. Aggarwal solutions for Mathematics [English] Class 6 2 Factors and Multiples Exercise 2E [Pages 40 - 41]
Find the LCM of the numbers given below:
42, 63
Find the LCM of the numbers given below:
60, 75
Find the LCM of the numbers given below:
12, 18, 20
Find the LCM of the numbers given below:
36, 60, 72
Find the LCM of the numbers given below:
36, 40, 126
Find the LCM of the numbers given below:
16, 28, 40, 77
Find the LCM of the numbers given below:
28, 36, 45, 60
Find the LCM of the numbers given below:
144, 180, 384
Find the LCM of the numbers given below:
48, 64, 72, 96, 108
Find the HCF and LCM of:
117, 221
Find the HCF and LCM of:
234, 572
Find the HCF and LCM of
693, 1078
Find the HCF and LCM of
145, 232
Find the HCF and LCM of
861, 1353
Find the HCF and LCM of
2923, 3239
For the below pair of numbers, verify that their product = (HCF × LCM).
87, 145
For the below pair of numbers, verify that their product = (HCF × LCM).
186, 403
For the below pair of numbers, verify that their product = (HCF × LCM).
490, 1155
The product of two numbers is 2160 and their HCF is 12. Find their LCM.
The product of two numbers is 2160 and their LCM is 320. Find their HCF.
The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other.
The HCF and LCM of two numbers are 131 and 8253 respectively. If one of the numbers is 917, find the other.
Find the least number divisible by 15, 20, 24, 32, and 36.
Find the least number which when divided by 25, 40, and 60 leaves 9 as the remainder in each case.
Find the least number of five digits that is exactly divisible by 16, 18, 24 and 30.
Find the greatest number of five digits exactly divisible by 9, 12, 15, 18 and 24.
Three bells toll at intervals of 9, 12, 15 minutes. If they start tolling together, after what time will they next toll together?
Three boys step off together from the same place. If their steps measure 36 cm, 48 cm and 54 cm, at what distance from the starting point will they again step together?
The traffic lights at three different road crossings change after every 48 seconds, 72 seconds, and 108 seconds respectively. If they change simultaneously at 7 a.m., at what time will they change simultaneously again?
Three measuring rods are 45 cm, 50 cm, and 75 cm in length. What is the least length (in metres) of a rope that can be measured by the full length of each of these three rods?
An electronic device makes a beep every 15 minutes. Another device makes a beep after every 20 minutes. They beeped together at 6 a.m. At what time will they next beep together?
The circumferences of four wheels are 50 cm, 60 cm, 75 cm, and 100 cm. They start moving simultaneously. What least distance should they cover so that each wheel makes a complete number of revolutions?
R.S. Aggarwal solutions for Mathematics [English] Class 6 2 Factors and Multiples Exercise 2F [Pages 41 - 42]
Which of the following numbers is divisible by 3?
24357806
35769812
83479560
3336433
Which of the following numbers is divisible by 9?
8576901
96345210
67594310
none of these
Which of the following numbers is divisible by 4?
78653234
98765042
24689602
87941032
Which of the following numbers is divisible by 8?
96354142
37450176
57064214
none of these
Which of the following numbers is divisible by 6?
(a) 8790432
(b) 98671402
(c) 85492014
(d) none of these
Which of the following numbers is divisible by 11?
3333333
1111111
22222222
none of these
Which of the following is a prime number?
81
87
91
97
Which of the following is a prime number?
117
171
179
none of these
Which of the following is a prime number?
323
361
263
none of these
Which of the following are co-primes?
8, 12
9, 10
6, 8
15, 18
Which of the following is a composite number?
23
29
32
none of these
The HCF of 144 and 198 is ______.
9
12
6
18
The HCF of 144 and 198 is
12
16
18
8
Which of the following are co-primes?
39, 91
161, 192
385, 462
none of these
- \[\frac{11}{23}\]
- \[\frac{13}{31}\]
- \[\frac{17}{31}\]
- \[\frac{17}{23}\]
The greatest number which divides 134 and 167 leaving 2 as remainder in each case is
- 14
- 17
- 19
- 33
The LCM of 24, 36, 40 is
- 4
90
360
720
The LCM of 12, 15, 20, 27 is
270
360
480
540
The smallest number which when diminished by 3 is divisible by 14, 28, 36 and 45, is
1257
1260
1263
none of these
The HCF of two co-primes is
the smaller number
the larger number
1
none of these
If a and b are co-primes, then their LCM is
1
`a/b`
ab
none of these
The product of two numbers is 2160 and their HCF is 12. The LCM of these numbers is
12
25920
180
none of these
The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, the other number is
290
435
5
none of these
The least number divisible by each of the numbers 15, 20, 24, 32 and 36 is
1660
2880
1440
none of these
Three bells toll together at intervals of 9, 12, 15 minutes. If they start tolling together, after what time will they next toll together?
1 hour
- \[1\frac{1}{2}\] hours
- \[2\frac{1}{2}\] hours
3 hours
R.S. Aggarwal solutions for Mathematics [English] Class 6 2 Factors and Multiples Test Paper 2 [Pages 43 - 44]
Test the divisibility of 5869473 by 11.
Test the divisibility of 67529124 by 8.
On dividing 5035 by 31, the remainder is 13. Find the quotient.
The HCF of two number is 15 and their product is 1650. Find their LCM.
Find the least 5-digit number which is exactly divisible by 20, 25, 30.
Find the largest number which divides 630 and 940 leaving remainders 6 and 4 respectively.
Find the least number which when divided by 16, 36, and 40 leaves 5 as the remainder in each case.
Write all prime numbers between 50 and 100.
Write seven consecutive composite numbers less than 100 having no prime number between them.
Can two numbers have 12 as their HCF and 512 as their LCM? Justify your answer.
Which of the following are co-primes?
91 and 72
34 and 51
21 and 36
15 and 20
The LCM of two co-prime numbers is their
sum
difference
product
quotient
What least number should be replaced for * so that the number 67301*2 is exactly divisible by 9?
5
6
7
8
Which of the following numbers is divisible by 6?
67821
78134
87432
none of these
Which of the following is a prime number?
143
131
147
161
- \[\frac{13}{17}\]
- \[\frac{17}{19}\]
- \[\frac{17}{23}\]
- \[\frac{17}{21}\]
Every counting number has an infinite number of
factors
multiples
prime factors
none of these
1 is neither ______ nor ______.
The smallest prime number is ______.
The smallest composite number is ______.
Fill in the blank.
The HCF of two consecutive odd numbers is _________
Fill in the blank.
Two perfect numbers are ________ and _______
Write 'T' for true and 'F' for false for the following statement.
Every prime number is odd.
True
False
Write 'T' for true and 'F' for false for the following statement.
Every even number is composite.
True
False
Write 'T' for true and 'F' for false for the following statement.
The sum of two odd numbers is always odd.
True
False
Write 'T' for true and 'F' for false for the following statement.
The sum of two even numbers is always even.
True
False
Write 'T' for true and 'F' for false for the following statement.
The HCF of two given numbers is always a factor is their LCM.
True
False
Solutions for 2: Factors and Multiples
R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 2 - Factors and Multiples
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 6 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. R.S. Aggarwal solutions for Mathematics Mathematics [English] Class 6 CBSE 2 (Factors and Multiples) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. R.S. Aggarwal textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics [English] Class 6 chapter 2 Factors and Multiples are Working with Number Digits, Mental Math, Patterns in Numbers, The Collatz Conjecture, Palindromic Patterns, Kaprekar Number, Clock and Calendar Numbers, Fundamentals of Numbers, Supercells, Number Line, Basic Concept of Estimation and Approximation of Numbers.
Using R.S. Aggarwal Mathematics [English] Class 6 solutions Factors and Multiples exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in R.S. Aggarwal Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 6 students prefer R.S. Aggarwal Textbook Solutions to score more in exams.
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