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

Solution:

By prime factorisation,

$68600=2^3\times 5^2\times 7^3$

It is not a perfect cube.

We have to multiply it by $5$ , then it equals to $343000$

It is a perfect cube.

Therefore, we have to multiply $68600$ by $5$ to make it a perfect cube