Question

Question 5(i)
Express each of the following as the product of powers of their prime factors:
(i) 648

Answer 1

(i) 648

Firstly, we find out the factors of given number
$$\begin{array}{cc}2& 648\\ 2& 324\\ 2& 162\\ 3& 81\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\end{array}$$

So,

648 = $2\times 2\times 2\times 3\times 3\times 3\times 3$

$\therefore$ $648=2^3\times 3^4$