SOLUTION: What is the prime factorization of 315 and how did you get the answer. Mark myemail7@stny.rr.com

Algebra.Com
Question 242034: What is the prime factorization of 315 and how did you get the answer.
Mark
myemail7@stny.rr.com
Found 2 solutions by Edwin McCravy, nyc_function:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
315 can be divided by 3


  105
 ----
3)315
  3
  --
   15 
   15
   --
    0

So 315 = 3*105

105 can be divided by 3:

   35
 ----
3)105
   9
  --
   15 
   15
   --
    0

So 315 = 3*3*35

35 can be divided by 5

   7
 --- 
5)35
  35
  --
   0

So 315 = 3*3*5*7

Those are all prime.  But we can write 3*3 as 32

So 315 = 32*5*7

So that's the prime factorization of 315.

Edwin
Answer by nyc_function(2741)   (Show Source): You can put this solution on YOUR website!
Prime Factorization
"Prime Factorization" is finding which prime numbers you need to multiply together to get the original number.
Use the factor tree method.
I cannot draw the factor tree here but here is what we do.
5 * 63 = 315
Break down 63 = 7 * 9
Then break down 9 into 3 * 3 or 3^2.

Final answer: 5*7*3^2

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