Question

The following number is a perfect cube or not?

100

Answer 1

The prime factorisation of 100 is as follows:

2	100
2	50
5	25
5	5
	1

100 = 2 × 2 × 5 × 5

Here in the prime factorisation of 100, the numbers 2 and 5 are not in groups of three.

Therefore, 100 is not a perfect cube.