<p><a href="https://www.gregmat.com/quizzes/quiz/prepswift-prime-factorization-pf" target="_blank">Prime Factorization (PF) Exercise</a></p><p>Every positive integer greater than $1$ can be written as the product of primes in exactly one way. Thus, the <strong><span style="color:#27ae60;">Prime Factorization</span></strong> of an integer greater than $1$ serves as its DNA, its unique identifier. Prime factorization is <strong><u>very useful</u></strong> in solving GRE problems, so it is a process you will want to get good at. Here are some examples:</p>
<p>$$24=2^33^1$$</p>
<p>$$100=2^25^2$$</p>
<p>$$17=17^1$$</p>
<p>$$350=2^15^27^1$$</p>