Question

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

Answer 1

(iv) 3,600

Firstly, we find out the factors of given number

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

So,

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

$\therefore$ $3,600=2^4\times 3^2\times 5^2$