## anonymous one year ago will give medal for explanation and answer thanks Determine the prime factorization of 88. A. 2 • 32• 5 B. 22• 3 • 5 C. 22• 11 D. 23• 11

1. anonymous

@Owlcoffee

2. anonymous

First of all, we understand what prime numbers are, no?

3. anonymous

yea

4. anonymous

"Prime Factorization" is finding which prime numbers multiply together to make the original number. So if we want to find the prime factorization of 12. |dw:1437149225429:dw|

5. anonymous

So the prime factorization of 12 would be 2x2x3

6. anonymous

So in simpler terms, we are looking for the prime factors of 88

7. anonymous

so its A

8. anonymous

so now let us do 88. First of all, one significant prime number that comes to mind when looking at this is 11. So if divided by 11, 88 equals 8. So... |dw:1437149455939:dw|

9. anonymous

So no, A is not correct, because 32 is NOT a prime number. Are you sure you understand?

10. anonymous

yea must have miscalculated

11. anonymous

so a and b are wrong

12. anonymous

So when we take 8, we then get 4 and 2. 2 is a prime so we can leave that alone. So we then take 4, and we get 2 and 2. Now it is fully prime factored. So our answer is $2^3 \times 11$

13. anonymous

if that 23 x 11 is referring to 2^3 x 11, then i suppose it is D

14. anonymous

yeah thats what i was thinking after i new that a and b were wrong and thank you very much