Recall that a prime factorization is the breakdown of the number if it was composed of only prime numbers. To begin, choose two factors of the number. I chose 80 and 2.
2 is already prime, so we can pull it to the side and move onto 80. Now we need to break this down into 2 factors. Let's do 40 and 2.
2, once more, is prime, so we can pull it aside. Now we have 40, which we need to break down again! Let's do 20 and 2.
2 is prime, so we can pull that aside again, and we have a 20 left. We need to break this down into 2 factors. Let's do 5 and 4.
5 is prime, so we can push that aside. 4 can be broken into two 2's, both of which are prime.
Now that we've broken about every factor into prime numbers, we string them together like this:
5 x 2 x 2 x 2 x 2 x 2
And that's our answer!
Hope this helped!
