-
abhirup1711
- Senior | Next Rank: 100 Posts
- Posts: 66
- Joined: Wed Jul 13, 2011 2:27 pm
- Followed by:2 members
I think you might be asking about how we count how many divisors a number has. If you take a number like 375, and want to work out how many positive divisors 375 has, you can first prime factorize:
375 = 3*125 = (3^1)(5^3)
Now to find how many positive divisors 375 has in total, we can add 1 to each exponent and multiply what we get. So 375 has 2*4 = 8 divisors.
If you want to know why this works, or to see other examples, I and other experts here have posted about this method a few times, so you'll find more detail by searching the forum for a phrase like 'counting divisors'.
