what completes the prime factorization of 315
FAIL
surely you see that 5 is a factor, so
315 = 5*63 = 5*9*7
now finish it off
Would it be 315?
To find the complete prime factorization of 315, we need to break it down into its prime factors. The prime factorization is the process of expressing a composite number as a product of its prime factors. Here's how to find the prime factorization of 315:
1. Start by dividing 315 by the smallest prime number, which is 2. However, 2 does not divide evenly into 315. So, we move to the next prime number.
2. Divide 315 by the next prime number, which is 3. 315 ÷ 3 = 105. 3 is a factor of 315.
3. Now, we need to find the prime factorization of 105. We repeat step 1 and step 2 for this new number.
4. Divide 105 by 3, since it is the smallest prime number that divides into it. 105 ÷ 3 = 35. 3 is a factor of 105.
5. We are left with 35. Repeat step 1 and step 2.
6. Divide 35 by 5, since it is the smallest prime number that divides into it. 35 ÷ 5 = 7. 5 is a factor of 35.
7. We are left with 7. This is a prime number, so our factorization is complete.
So, the complete prime factorization of 315 is: 3 x 3 x 5 x 7.