Question

what is the prime factorization of 132

Answer 1

First divide by 2 and see that's left.
132 = 2 x 66
66 is 11 x 6, so let's write it as
132 = 2x11x6
Now prime-factor the 6, and you are done

Answer 2

132/2=66
66/2=33
33/3=11

so 132=3*11*2^2