Question

$18\times 48$ written as a product of its primes is

• A. $2\times 2\times 2\times 2\times 2\times 3\times 3\times 3$
• B. $2\times 2\times 2\times 2\times 2\times 3\times 3$
• C. $2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 3$
• D. $2\times 2\times 2\times 3\times 3$

Answer 1

The correct option is A $2\times 2\times 2\times 2\times 2\times 3\times 3\times 3$

$\begin{array}{cc}2& 18\\ 3& 9\\ 3& 3\\ & 1\end{array}$

$\begin{array}{cc}2& 48\\ 2& 24\\ 3& 12\\ 2& 4\\ 2& 2\\ & 1\end{array}$

Therefore 18 $\times$ 48
= $2\times 3\times 3\times 2\times 2\times 3\times 2\times 2$
= $2\times 2\times 2\times 2\times 2\times 3\times 3\times 3$