Question

999 is a perfect cube.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

3	999
3	333
3	111
37	37
	1

Resolving 999 into prime factors, we get

999 = 3 × 3 × 3 × 37

Grouping the factors in triples of equal factors, we get

999 = (3 × 3 × 3) × 37

Clearly, in grouping, the factor in triples of equal factors, we are left with one factor 37.

Therefore, 999 is not a perfect cube.