How to do Prime Factorization!?!?

Question

Ok, what is Prime Factorization ?!! Like how do you figure it out ?!

Here;s some problems and can i have answers pleaseee !

72-
100-
45-
180-
36-
84-

Kay thanksss !

-HC0_CUTiEEE x3

Answer 1

I'll do 180 and you can do the rest.

The primes are 2,3,5,7,11, 13, 17, 19, 23,....

Since 180 is even, 2 is a factor. So write 180=2*90. Notice that 90 is also even, so we can write 180=2*2*45.

Now, 45 is divisible by 3, so we get 180=2*2*3*15. Finally, 15 is divisible by 3 and we then have
180=2*2*3*3*5.

This is the prime factorization of 180.

Answer 2

72 = 2 x 2 x 2 x 3 x 3
100 = 2 x 2 x 5 x5
45 = 3 x 3 x 5
180 = 2 x 2 x 3 x 3 x 5
36 = 2 x 2 x 3 x 3
84 = 2 x 2 x 3 x 7