Question

The following number is a perfect cube or not?

1000

Answer 1

The prime factorisation of 1000 is as follows:

2	1000
2	500
2	250
5	125
5	25
5	5
	1

1000 = 2 × 2 × 2 × 5 × 5 × 5

Here, as each prime factor is appearing as many times as a perfect multiple of 3, therefore, 1000 is a perfect cube.