Question

find the smallest number by which 5632 must be divided to obtain a perfect cube. also find the cube root of the number obtained​

Answer 1

The smallest number is 11.

The cube is 512 and cube root = 8.

Explanation

If we keep dividing 5632 by 2 we get 5632 = 2^9 * 11.

2^9 is a perfect cube ( = (2^3)^3 = 8^3).

The number is 512 and the cube root is 8.

Answer 2

Divide 5632 by using long divison