# Thread: Factors of 2310 and Factors of 1365

1. ## Factors of 2310 and Factors of 1365

Could someone please help me (and my 11 year old son) with the answer on this - need to check for homework! thank you!

2. Originally Posted by nhammerv@cmp.com
Could someone please help me (and my 11 year old son) with the answer on this - need to check for homework! thank you!
I will do 1365, you guys do the other.

start by finding the prime factorization. so start at the smallest prime and divide until you get only prime numbers.

1365, i can get a 5 out of this

1365 = 5*273 ..........now i can get 3 out of the 273

1365 = 5*3*91 ........now i can get a 7 out of the 91

1365 = 5*3*7*13 ....that's it, these are all prime numbers, so we can't factor anything else out.

now all the factors are +/- 1, as well as the +/- values of all the primes you see above, as well as all the combinations of the primes.

so the factors are the +/- values of: 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455 and finally 1365

i hope i didn't miss any