SBP-Program

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9317 prime factorization

What is the prime factorization of 9317?

Find the prime factorization of 9317

We draw a vertical line and write 9317 to the left of the line:

9317  

9317 is divisible by 11

9317 : 11 = 847

We write 11 (the divisor) to the right of the line and 847 to the left of the line:

9317  11
 847  

11 is a prime number.

847 is not a prime number.

See Prime numbers 1 through 1000.

847 is divisible by 11

847 : 11 = 77

We write 11 (the divisor) to the right of the line and 77 to the left of the line:

9317  11
 847  11
  77  

77 is divisible by 7:

77 : 7 = 11

We write 7 (the divisor) to the right of the line and 11 to the left of the line:

9317  11
 847  11
  77   7
  11  

11 is a prime number. 11 is divisible by itself and by 1. We divide 11 by 11:

11 : 11 = 1

and write 11 (the divisor) to the right of the line and 1 to the left of the line:

9317  11
 847  11
  77   7
  11  11
   1 

The numbers to the right of the line are prime factors of the number 9317.

Therefore, the prime factorization of 9317 is

9317 =
7 * 11 * 11 * 11

The prime factorization of 9317 using exponents

9317 = 7 * 113

So, the prime factors of 9317 are

7, 11, 11, 11