SBP-Program

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2387 prime factorization

What is the prime factorization of 2387?

Find the prime factorization of 2387

We draw a vertical line and write 2387 to the left of the line:

2387  

2387 is divisible by 11

2387 : 11 = 217

We write 11 (the divisor) to the right of the line and 217 to the left of the line:

2387  11
 217  

11 is a prime number.

217 is not a prime number.

See Prime numbers 1 through 300.

217 is divisible by 7

217 : 7 = 31

We write 7 (the divisor) to the right of the line and 31 to the left of the line:

2387  11
 217   7
  31  

31 is a prime number. 31 is divisible by itself and by 1. We divide 31 by 31:

31 : 31 = 1

and write 31 (the divisor) to the right of the line and 1 to the left of the line:

2387  11
 217   7
  31  31
   1 

The numbers to the right of the line are prime factors of the number 2387.

Therefore, the prime factorization of 2387 is

2387 = 7 * 11 * 31

So, the prime factors of 2387 are

7, 11, 31