SBP-Program

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41327 prime factorization

What is the prime factorization of 41327?

Find the prime factorization of 41327

We draw a vertical line and write 41327 to the left of the line:

41327  

41327 is divisible by 11

41327 : 11 = 3757

We write 11 (the divisor) to the right of the line and 3757 to the left of the line:

41327  11
 3757  

11 is a prime number.

3757 is not a prime number.

3757 is divisible by 13

3757 : 13 = 289

We write 13 (the divisor) to the right of the line and 289 to the left of the line:

41327  11
 3757  13
  289  

289 is divisible by 17

289 : 17 = 17

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

41327  11
 3757  13
  289  17
   17  

17 is a prime number. 17 is divisible by itself and by 1. We divide 17 by 17:

17 : 17 = 1

and write 17 (the divisor) to the right of the line and 1 to the left of the line:

41327  11
 3757  13
  289  17
   17  17
    1 

The numbers to the right of the line are prime factors of the number 41327.

Therefore, the prime factorization of 41327 is

41327 =
11 * 13 * 17 * 17

The prime factorization of 41327 using exponents

41327 =
11 * 13 * 172

So, the prime factors of 41327 are

11, 13, 17, 17