Question

Question 1(i)
State whether the number given below is a perfect cube or not.
216

Answer 1

216
Prime factors of $216=2\times 2\times 2\times 3\times 3\times 3$
Here all factors are in groups of 3’s (in triplets)
Therefore, 216 is a perfect cube number.
$\begin{array}{cc}2& 216\\ 2& 108\\ 2& 54\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\end{array}$