Question

Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.

Answer 1

8788
8788 can be expressed as the product of prime factors as $2\times 2\times 13\times 13\times 13$.
Therefore, 8788 should be divided by 4, i.e. ($2\times 2$), so that the quotient is a perfect cube.