Question

find the smallest number by which 8788 be divide so that the quotient is a perfect cube

Answer 1

Answer:

The given number is 8788

The prime factorisation of 8788 is given by

8788 = 2×2×13×13×13

now, 8788/4 = 2×2×13×13×13/4

= 2197 = 13×13×13, which is a perfect square

thus, the cube root of 2197 = 13