Question

Question 1(iii)
State whether the number given below is a perfect cube or not:
1000

Answer 1

1000
Prime factors of $1000=2\times 2\times 2\times 5\times 5\times 5$
Here all factors appear in 3’sgroup.
Therefore, 1000 is a perfect cube.
$\begin{array}{cc}2& 1000\\ 2& 500\\ 2& 250\\ 5& 125\\ 5& 25\\ 5& 5\\ & 1\end{array}$