Hmm.... why am I wrong?

<p>Here's the problem:</p>

<p>If p,r, and s are three different prime numbers greater than 2, and n= p X r X s, how many positive factors, including 1 and n, does n have?</p>

<p>The answer is 8.</p>

<p>Yes. </p>

<p>Why not 5?</p>

<p>For n=105
p= 3
r=5
s=7</p>

<p>1, 105
3, 35
5, 21
7, 15</p>

<p>could be 1, p, r, s, n, pr, ps, rs</p>

<p>the factors do not have to be prime, meaning you can have the products pr, ps, and rs as factors of the overall prs=n</p>

<p>oh! thanks</p>

<p>For some reason I thought the factors had to be prime</p>