Question

find the smallest number by which 33275 must be divided so that the quotient is a perfect cube

Answer 1

5|33275
5|6655
11| 65
5|13
13|1

(5×5×5)×11×13
5 is the answer.

Answer 2

Firstly find out the prime factorisation
of 33275 5|33275
5|6655
11|1331
11|121
11|11
By prime factorisation we get,
5×5×11×11×11
so, to make it a perfect square it must be divided by 11 .
I hope it may help you.