Question

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

Answer 1

Prime factorisation of 8788 = 2 × 2 × 13 × 13 × 13

Here, the pair of 13 is Completed but one 4 is left.

So, if we divide the given number by 4 , we will get 13 × 13 × 13 = 2197 as Quotient, that is a perfect cube.

Required Answer is 4

Answer 2

hi there.
factorising 8788 will give us 2×2×13×13×13
 hence it must be divided by 4
8788÷4=2197 which is the perfect cube.