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

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Solution

(iii) 540

Firstly, we find out the factors of given number

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

So,

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

$∴$ $540 = 2^{2} \times 3^{3} \times 5$

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Question 5(ii)
Express each of the following as product of powers of their prime factors:
(ii) 405

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