Question

Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube.

Answer 1

We have, 68600 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7.

In this factorisation, we find that there is no triplet of 5.

So, 68600 is not a perfect cube.

To make it a perfect cube we multiply it by 5.

Thus,

68600 × 5 = 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7

= 343000, which is a perfect cube.