SBP-Program

f

tw

in

10659 prime factorization

What is the prime factorization of 10659?

Find the prime factorization of 10659

We draw a vertical line and write 10659 to the left of the line:

10659  

10659 is divisible by 19

10659 : 19 = 561

We write 19 (the divisor) to the right of the line and 561 to the left of the line:

10659  19
 561  

19 is a prime number.

561 is not a prime number.

See Prime numbers 1 through 1000.

561 is divisible by 17:

561 : 17 = 33

We write 17 (the divisor) to the right of the line and 33 to the left of the line:

10659  19
 561  17
  33  

33 is divisible by 3:

33 : 3 = 11

We write 3 (the divisor) to the right of the line and 11 to the left of the line:

10659  19
 561  17
  33   3
  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:

10659  19
 561  17
  33   3
  11  11
   1 

The numbers to the right of the line are prime factors of the number 10659.

Therefore, the prime factorization of 10659 is

10659 =
3 * 11 * 17 * 19

So, the prime factors of 10659 are

3, 11, 17, 19