Question 5(iv)
Express each of the following as the product of powers of their prime factors:
(iv) 3,600

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Solution

(iv) 3,600

Firstly, we find out the factors of given number

$\begin{matrix} 2 & 3600 2 & 1800 2 & 900 2 & 450 3 & 225 3 & 75 5 & 25 5 & 5 1 \end{matrix}$

So,

3,600 = $2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5$

$∴$ $3, 600 = 2^{4} \times 3^{2} \times 5^{2}$

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