Question

$36\times 24$ 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 $2\times 2\times 2\times 2\times 2\times 3\times 3\times 3$

$\begin{array}{cc}2& 24\\ 2& 12\\ 2& 6\\ 3& 3\\ & 1\end{array}$

$\begin{array}{cc}2& 36\\ 2& 18\\ 3& 9\\ 3& 3\\ & 1\end{array}$

Therefore 36$\times$ 24 = $2\times 2\times 2\times 3\times 2\times 2\times 3\times 3$ = $2\times 2\times 2\times 2\times 2\times 3\times 3\times 3$