Prime Factorization

"What is the prime factorization of 440?"

With a small number like that the most easy way is just to start dividing it:
440=44*10
and then divide all the numbers as long as possible:
44=11*4
4=2*2
10=5*2
now 11,2 and 5 cannot be divided so they must be primes

so 440=2^3*5*11

you can easily check if it's correct by multiplyin it open:
2^3 *5 *11 = 8*5*11=40*11=440

so it must be correct.

You do it with a 'hanging tree'
Put 440 at the top and any 2 of its factors underneath. If either of those 2 factors is prime then put a circle around it and that branch is finished,
start on a new row
Put any 2 facors of each non prime number above. etc untill all the branches are finished
I made the prime factors bold.

440
10 x 44
2 5 11 4
2 2


440 = 2 * 5 * 11 * 2 * 2
The prime factors of 440 are 2, 5, and 11
This forum won't allow me to add spaces so it doen't look like I wanted it to, but hopefully you get the idea and will do it yourself next time.