Question

Question 5(iii)
Express each of the following as product of powers of their prime factors:
(iii) 540

Answer 1

(iii) 540

Firstly, we find out the factors of given number

$$\begin{array}{cc}2& 540\\ 2& 270\\ 3& 135\\ 3& 45\\ 3& 15\\ 5& 5\\ & 1\end{array}$$

So,

540 = $2\times 2\times 3\times 3\times 3\times 5$

$\therefore$ $540=2^2\times 3^3\times 5$