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7007 prime factorization

What is the prime factorization of 7007?

Find the prime factorization of 7007

We draw a vertical line and write 7007 to the left of the line:

7007  

7007 is divisible by 11

7007 : 11 = 637

We write 11 (the divisor) to the right of the line and 637 to the left of the line:

7007  11
 637  

11 is a prime number.

637 is not a prime number.

See Prime numbers 1 through 1000.

637 is divisible by 7

637 : 7 = 91

We write 7 (the divisor) to the right of the line and 91 to the left of the line:

7007  11
 637   7
  91  

91 is divisible by 7:

91 : 7 = 13

We write 7 (the divisor) to the right of the line and 13 to the left of the line:

7007  11
 637   7
  91   7
  13  

13 is a prime number. 13 is divisible by itself and by 1. We divide 13 by 13:

13 : 13 = 1

and write 13 (the divisor) to the right of the line and 1 to the left of the line:

7007  11
 637   7
  91   7
  13  13
   1 

The numbers to the right of the line are prime factors of the number 7007.

Therefore, the prime factorization of 7007 is

7007 =
7 * 7 * 11 * 13

The prime factorization of 7007 using exponents

7007 =
72 * 11 * 13

So, the prime factors of 7007 are

7, 7, 11, 13