Question

How do you find the prime factorization of 112?

Answer 1

You divide by primes, untill you run out.

`112` is even: `112//2=56->112=(2*56)`
Still even: `56//2=28->112=2*(2*28)`
And again: `28//2=14->112=2*2*(2*14)`
And again: `14//2=7->112=2*2*2*(2*7)`
(brackets are only for clarification)

`7` is a prime (try if you like)

So the complete factorisation:

`112=2*2*2*2*7=2^4*7`