## alli14344 What is the prime factorization of 180 please help one year ago one year ago

1. amistre64

well, lets divide out the 2s and 3s and see whats left

2. amistre64

what is 180/2?

3. alli14344

it is 90

4. alli14344

180/3 is 60

5. amistre64

good, and 90/2 ? we can do this for all the evens

6. amistre64

we can start with 3s if you want 180/3 = 60 60/3 = ?

7. alli14344

sure that sounds good

8. amistre64

180/3 = 60 60/3 = 20 ; since 3 aint a factor of 20, we have 3^2 for those since 20 is dividible by 5, that another prime 20/5 = 4 ; 5 is in the factorization that leaves us to factor 4 into primes

9. alli14344

okay

10. amistre64

so, what does that give us ?

11. alli14344

it i am not real sure about the last part you said

12. amistre64

what are the prime factors of 4 ?

13. alli14344

2 1 and 4.............. right?

14. amistre64

almost, those are "all the factors of 4" a prime factor is the set of prime numbers that multiply together to get 4

15. amistre64

2 times 2 are the prime factors of 4, because 2 is a prime number ... and 2 times 2 = 4

16. amistre64

soo, the prime factors of 180? 180 = 3 * 60 180 = 3 * 3 * 20 180 = 3 * 3 * 4 * 5 180 = 3 * 3 * 2 * 2 * 5 180 = 2^2 3^2 5

17. alli14344

oh oh okay