What is the prime factorization for 120?

2^3*3*5 (2 to the third power times 3 times 5)

Step-by-step explanation:

first, divide 120 by 2, which is 60. write this as:

60*2.

2 is prime, so now look at 60. you can divide 60 by 5. that would be 12*5. right now for 120 you have:

12*5*2.

5 and 2 are prime so look at 12. 12 is 3*4. for 120 you now have :

3*4*2*5

out of those, 4 is the only non-prime number. 4 is 2*2, so you have:

3*2*2*5*2, or

2^3*3*5 (2 to the third power times 3 times 5)