Question

Question 81

State whether the following statement is true or false:

999 is a perfect cube.

Answer 1

False
Resolving 999 into prime factors, we get
$999=3\times 3\times 3\times 37$
Grouping the factors in triplets of equal factors, we get
$999=(3\times 3\times 3)\times 37$
Clearly, in the grouping, the factors in triplets of equal factors, we are left with one factor 37.
Therefore, 999 is not a perfect cube.