A perfect cube can be expressed as a product of three numbers of equal factors
Now by resolving the given number into prime factors we get,
8000 = 2 × 2 × 2 × 2 × 2× 2 × 5 × 5 × 5
As we can group the above factors into three groups of cubes i.e. 23, 23, 53
We express it as, 23 × 23 × 53 = 203
∴ 8000 is a perfect cube.