<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-odd-factors-with-pf">Odd Factors with PF Exercise</a></p><p>To find the number of <strong><span style="color:#27ae60;">Odd Positive Factors with Prime Factorization</span></strong> for an integer greater than $1$, following these steps. For example, how many odd positive factors does $30$,$184$ have?</p>
<ul>
<li>First prime factorize the integer
<ul>
<li>$30$,$184=2^37^311^1$</li>
</ul>
</li>
<li>Focus only on the odd prime divisors (ignore the $2$ and its exponent)
<ul>
<li>$7^311^1$</li>
</ul>
</li>
<li>Apply the prime factorization trick to find the number of positive odd factors
<ul>
<li>$(3+1)(1+1)=8$</li>
</ul>
</li>
</ul>