Advertisements
Advertisements
Question
Without making any actual division, show that 2300023 is divisible by 23.
Advertisements
Solution
2300023 = 2300000 + 23
= 23 x (100000 + 1)
= 23 x 100001
Clearly, 2300023 is divisible by 23.
APPEARS IN
RELATED QUESTIONS
Write all the factors of: 48
The product of two numbers is 36 and their sum is 13. Find the numbers.
Write two numbers which differ by 3 and whose product is 54.
Without making any actual division, show that each of the following numbers is divisible by 11.
11000011
Find whether the following number is divisible by 2: 352
Find whether the following number is divisible by 4: 9232
Find whether the following number is divisible by 3: 221
Find whether the following number is divisible by 3: 543
Find whether the following number is divisible by 3: 28492
Find whether the following number is divisible by 6: 324
Find whether the following number is divisible by 11: 5918
Find whether the following number is divisible by 11: 10857
State, true or false:
If a divide b and c completely, then a divides
(i) a + b
(ii) a – b
also completely.
Write down the factors of 75.
State if the following number is even or odd.
32
State if the following number is even or odd.
253
Write the factors of the following number.
5
The sum of the factors of 27 is
Pick the number which is not a multiple of 6
Draw a picture of factor tree.
50
Throw two dice together. What are the numbers that turn up on the faces of the dice? Make a two-digit number using them. If it is a multiple of any of the numbers written next to the circles, you can write it in that circle. Then it is your friend’s turn. The one who can write more numbers in 10 rounds is the winner.
Hint: I have 3 and 2 on my dice. If I make 23, it is not the multiple of any of the numbers. So I will make 32, which is a multiple of 4, and write it in the red circle.
Complete the multiplication chart given here.
Look at the green boxes in the chart. These show how we can get 12 by multiplying different numbers.
12 = 4 × 3, so 12 is a multiple of both 4 and 3. 12 is also a multiple of 6 and 2, as well as 12 and 1. We say 1, 2, 3, 4, 6, 12 are factors of 12.
What is the biggest number for which you can find the factors from this chart?
Try drawing the factor tree using other numbers also.
Write first five multiples of 9.
Write all the factors of the following number.
21
Write all the factors of the following number.
12
Which of the following is always a factor of every number?
Common factors of two numbers are:
