## Elementary Algebra

$144=2\times2\times3\times2\times2\times3$
Start with the original number, 144. 144 can be divided by 12, so factor it out: $12\times12$ 12 can be divided by 4 and 3, so factor these out of each 12. $(4\times3)\times(4\times3)$ 3 is a prime number, so there is no more factoring of it, but 4 is composite, so factor a two out of each four: $[(2\times2)\times3]\times[(2\times2)\times3]$ Make sure that the expression equals 144. $4\times3\times4\times3$ $12\times12$ $144$