<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-total-factors-with-pf">Total Factors with PF Exercise</a></p><p>We know that every integer has negative factors as well. For example, $6$ has four positive factors, $1$, $2$, $3$, and $6$, but it also has the negative factor counterparts: $-1$, $-2$, $-3$, $-6$.</p>
<p>So, to get the <strong><span style="color:#27ae60;">Total Number of Factors</span></strong> using Prime Factorization, simply do the "trick" we discussed in the Positive Factors with PF entry in the Quant Mountain, and multiply the result by $2$.</p>
<p>Example</p>
<p>How many TOTAL (positive and negative) factors does $400$ have? </p>
<ul>
<li>$400 = 2^45^2$</li>
<li># of positive factors $=(4+1)(2+1) = 15$</li>
<li># of TOTAL factors $=15 \times 2 = 30$</li>
</ul>