The given statement is false.

To find whether the 3,125 is a perfect cube or not, we have to prime factorize it.

Now, 

3,125 =  5 x 5 x 5 x 5 x 5

In the above factorization, 5 x 5 remains left after grouping the 5's in the triplet.

So, 3125 is not a perfect cube.