How do you solve this?

<p>Please help!</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>thanks!</p>

<p>If you take the example n = 3x5x7, you will know the answer right away.</p>

<p>Can you please elaborate?</p>

<p>Since p,r,s > 2 => you can only take 3,5,7 (prime numbers)
Multiply them 3.5.7 = 105
Find the factors of 105, rmb to include 1 and 105</p>

<p>okay, how do I find the factors of 105?</p>

<p>you have:
1, 3, 5, 7, 105
plus productions of any two of (3, 5, 7) ==> 15, 21, 35</p>