Total Factor with PF

How many positive AND negative factors does 3600 have?

Why is it 90, not 89? 0 is neither positive nor negative.

0 is not a factor of 3600, so it’s not part of the 90.

For a number a to be a factor of b, there must exist an integer q such that b = aq.

In your case, that would mean 3600 = 0 \cdot q. Since 0 \cdot q is always 0, no such q exists. Therefore, 0 is not a factor of 3600.

Maybe you’re confusing yourself with the converse?

The converse being the following:

3600 is a factor of 0

This is a true statement because 0 = 3600 \cdot q holds true when q = 0, which is a valid choice for q.