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11466 prime factorization

What is the prime factorization of 11466?

Find the prime factorization of 11466

We draw a vertical line and write 11466 to the left of the line:

11466  

11466 is divisible by 13

11466 : 13 = 882

We write 13 (the divisor) to the right of the line and 882 to the left of the line:

11466  13
  882  

13 is a prime number.

882 is not a prime number.

See Prime numbers 1 through 1000.

882 is divisible by 9:

882 : 9 =
882 : (3 * 3) = 98

We write (3 * 3) (the divisor) to the right of the line and 98 to the left of the line:

11466  13
  882  3 * 3
   98  

98 is divisible by 2:

98 : 2 = 49

We write 2 (the divisor) to the right of the line and 49 to the left of the line:

11466  13
  882  3 * 3
   98  2
   49  

49 is divisible by 7:

49 : 7 = 7

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

11466  13
  882  3 * 3
   98  2
   49  7
    7  

7 is a prime number. 7 is divisible by itself and by 1. We divide 7 by 7:

7 : 7 = 1

and write 7 (the divisor) to the right of the line and 1 to the left of the line:

11466  13
  882  3 * 3
   98  2
   49  7
    7  7
    1 

The numbers to the right of the line are prime factors of the number 11466.

Therefore, the prime factorization of 11466 is

11466 =
2 * 3 * 3 * 7 * 7 * 13

The prime factorization of 11466 using exponents

11466 =
2 * 32 * 72 * 13

So, the prime factors of 11466 are

2, 3, 3, 7, 7, 13