Question

Express the following as the product of expression through prime factorization
$288$

Answer 1

We have,

$\begin{array}{c}\frac{288}{2}=144\\ \frac{144}{2}=72\\ \frac{72}{2}=36\\ \frac{36}{2}=18\\ \frac{18}{2}=9\\ \frac{9}{3}=3\end{array}$

Then,

We get $288=2\times 2\times 2\times 2\times 2\times 3\times 3=2^5\times 3^2$