English

Express the number as a product of its prime factor: 3825 - Mathematics

Advertisements
Advertisements

Question

Express the number as a product of its prime factor:

3825

Sum
Advertisements

Solution

3825 = 3 × 3 × 5 × 5 × 17

= 32 × 52 × 17

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Real Numbers - Exercise 1.2 [Page 11]

APPEARS IN

NCERT Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.2 | Q 1.3 | Page 11

RELATED QUESTIONS

Consider the number 6n where n is a natural number. Check whether there is any value of n ∈ N for which 6n is divisible by 7.


Express the number as a product of its prime factor:

140


Find the LCM and HCF of the following integers by applying the prime factorisation method.

12, 15 and 21


A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?


State fundamental theorem of arithmetic?


Determine the prime factorisation of each of the following positive integer:

45470971


Find the LCM and HCF of the following integers by applying the prime factorisation method:

40, 36 and 126


Find the LCM and HCF of the following integers by applying the prime factorisation method:

 84, 90 and 120


Find the LCM and HCF of the following integers by applying the prime factorisation method.

17, 23 and 29


Find the greatest number consisting of 6 digits which is exactly divisible by 24, 15, 36?


For some integer p, every even integer is of the form ______.


The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is ______.


The number in the form of 4p + 3, where p is a whole number, will always be ______.


Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.


Show the 6n cannot end with digit 0 for any natural number 'n'.


Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40.

Reason(R): For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.


Read the following passage:

Khushi wants to organize her birthday party. Being health conscious, she decided to serve only fruits in her birthday party. She bought 36 apples and 60 bananas and decided to distribute fruits equally among all.

Based on the above information, answer the following questions:

  1. How many guests Khushi can invite at the most?
  2. How many apples and bananas will each guest get?
    1. If Khushi decides to add 42 mangoes, how many guests Khushi can invite at the most?
      OR
    2. If the cost of 1 dozen of bananas is ₹ 60, the cost of 1 apple is ₹ 15 and cost of 1 mango is ₹ 20, find the total amount spent on 60 bananas, 36 apples and 42 mangoes.

(HCF × LCM) for the numbers 30 and 70 is ______.


The prime factorisation of the number 2304 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×