Question

find the smallest number by which 8788 must be multiplied to obtain a perfect cube

Answer 1

Prime factorization of 8788 = 2 * 2 * 13 * 13 * 13.

It is not a perfect cube, In order to make it a perfect cube multiply it by 4(2 * 2)

8788 / 4 = 2197. (perfect cube of 13)

So, the smallest number is 4.

Answer 2

let the cube is C and the smallest number is y
C =  8788×y
C = 2*2*13*13*13*y
C = 13³*2²*y
if y = 2 then the number C will be a perfect cube
C = 13³*2³
Therefore Answer is 2.