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2310 prime factorization

What is the prime factorization of 2310?

Find the prime factorization of 2310

We draw a vertical line and write 2310 to the left of the line:

2310  

2310 is divisible by 10

2310 : 10 =
2310 : (2 * 5) = 231

See Divisibility criteria for 10.

We write (2 * 5) (the divisor) to the right of the line and 231 to the left of the line:

2310  2 * 5
 231 

Both 2 and 5 are prime numbers.

231 is not a prime number.

See Prime numbers 1 through 300.

231 is divisible by 3

231 : 3 = 77

See Divisibility criteria for 3.

We write 3 (the divisor) to the right of the line and 77 to the left of the line:

2310  2 * 5
 231  3
  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:

2310  2 * 5
 231  3
  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:

2310  2 * 5
 231  3
  77  7
  11  11
   1 

The numbers to the right of the line are prime factors of the number 2310.

Therefore, the prime factorization of 2310 is

2310 =
2 * 3 * 5 * 7 * 11

So, the prime factors of 2310 are

2, 3, 5, 7, 11