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13662 prime factorization

What is the prime factorization of 13662?

Find the prime factorization of 13662

We draw a vertical line and write 13662 to the left of the line:

13662  

13662 is divisible by 9

13662 : 9 =
13662 : (3 * 3) = 1518

We write (3 * 3) (the divisor) to the right of the line and 1518 to the left of the line:

13662  3 * 3
 1518  

3 is a prime number.

1518 is not a prime number.

1518 is divisible by 6:

1518 : 6 =
1518 : (2 * 3) = 253

We write (2 * 3) (the divisor) to the right of the line and 253 to the left of the line:

13662  3 * 3
 1518  2 * 3
  253  

253 is divisible by 11:

253 : 11 = 23

We write 11 (the divisor) to the right of the line and 23 to the left of the line:

13662  3 * 3
 1518  2 * 3
  253  11
   23  

23 is a prime number. 23 is divisible by itself and by 1. We divide 23 by 23:

23 : 23 = 1

and write 23 (the divisor) to the right of the line and 1 to the left of the line:

13662  3 * 3
 1518  2 * 3
  253  11
   23  23
    1 

The numbers to the right of the line are prime factors of the number 13662.

Therefore, the prime factorization of 13662 is

13662 =
2 * 3 * 3 * 3 * 11 * 23

The prime factorization of 13662 using exponents

13662 =
2 * 33 * 11 * 23

So, the prime factors of 13662 are

2, 3, 3, 3, 11, 23