Find the smallest number by which may be divided so that the quotient is a perfect cube.

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answer is A.

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Detailed Solution

Concept- Prime factorization is the technique of expressing a number as the product of prime numbers. The only two components in prime numbers are the number itself and the number itself. Prime numbers include, for instance, 2, 3, 5, 7, 11, 13, 17, 19, and so forth. Any number can be represented as a sum of prime numbers using prime factorization.
The concept used in this question is use of prime factorization method .write the given number 26244 as multiple of primes
we have to take one number from each group of three but here we can see that

cannot be written as a group of three.
Divide

on both

Hence, the correct answer is option number 1) 36

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