Is 15625 a perfect cube?

Given :

The given number is 15625.

To do :

We have to find whether the given number is a perfect cube.

Solution :

To find whether a number is a perfect cube, we can use its prime factorization.

$15625 = 5\times 5\times 5\times 5\times 5\times 5= (5 \times 5)^3$

So, $15625 = 25^3$

Therefore, 15625 is a perfect cube.