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2457 prime factorization

What is the prime factorization of 2457?

Find the prime factorization of 2457

We draw a vertical line and write 2457 to the left of the line:

2457  

2457 is divisible by 9

2457 : 9 =
2457 : (3 * 3) = 273

We write (3 * 3) (the divisor) to the right of the line and 273 to the left of the line:

2457  3 * 3
 273  

3 is a prime number.

273 is not a prime number.

See Prime numbers 1 through 300.

273 is divisible by 13

273 : 13 = 21

We write 13 (the divisor) to the right of the line and 21 to the left of the line:

2457  3 * 3
 273  13
  21  

21 is divisible by 3

21 : 3 = 7

We write 3 (the divisor) to the right of the line and 7 to the left of the line:

2457  3 * 3
 273  13
  21  3
   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:

2457  3 * 3
 273  13
  21  3
   7  7
   1 

The numbers to the right of the line are prime factors of the number 2457.

Therefore, the prime factorization of 2457 is

2457 =
3 * 3 * 3 * 7 * 13

The prime factorization of 2457 using exponents

2457 = 33 * 7 * 13

So, the prime factors of 2457 are

3, 3, 3, 7, 13