Question

By what least number by which $3600$ be divided to make it a perfect cube

Answer 1

Concept - First we factorize the number then make a group of three numbers of each type of prime number. Rest net prime number is the value by which we can divide the number and get a perfect cube.

factorization of $3600=2\times 2\times 2\times 2\times 3\times 3\times 5\times 5=2^3\times 2\times 3\times 3\times 5\times 5$

So the required number is $2\times 3\times 3\times 5\times 5=450$