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,
3375 = 3 × 3 × 3 × 5 × 5 × 5
As we can group the above factors into three groups of cubes i.e. 33, 53
We express it as, 33 × 53 = 153
∴ 3375 is a perfect cube.
