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21344 prime factorization

What is the prime factorization of 21344?

Find the prime factorization of 21344

We draw a vertical line and write 21344 to the left of the line:

21344  

21344 is divisible by 8

21344 : 8 =
21344 : (2 * 2 * 2) =
2668

We write (2 * 2 * 2) (the divisor) to the right of the line and 2668 to the left of the line:

21344  2 * 2 * 2
 2668  

2 is a prime number.

2668 is not a prime number.

2668 is divisible by 4:

2668 : 4 =
2668 : (2 * 2) = 667

We write (2 * 2) (the divisor) to the right of the line and 667 to the left of the line:

21344  2 * 2 * 2
 2856  2 * 2
  667  

667 is divisible by 23:

667 : 23 = 29

We write 23 (the divisor) to the right of the line and 29 to the left of the line:

21344  2 * 2 * 2
 2856  2 * 2
  667  23
   29  

29 is a prime number. 29 is divisible by itself and by 1. We divide 29 by 29:

29 : 29 = 1

and write 29 (the divisor) to the right of the line and 1 to the left of the line:

21344  2 * 2 * 2
 2856  2 * 2
  667  23
   29  29
    1 

The numbers to the right of the line are prime factors of the number 21344.

Therefore, the prime factorization of 21344 is

21344 =
2 * 2 * 2 * 2 * 2 * 23 * 29

The prime factorization of 21344 using exponents

21344 = 25 * 23 * 29

So, the prime factors of 21344 are

2, 2, 2, 2, 2, 23, 29