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3248 prime factorization

What is the prime factorization of 3248?

Find the prime factorization of 3248

We draw a vertical line and write 3248 to the left of the line:

3248  

3248 is divisible by 8

3248 : 8 =
3248 : (2 * 2 * 2) = 406

We write (2 * 2 * 2) (the divisor) to the right of the line and 406 to the left of the line:

3248  2 * 2 * 2
 406  

2 is a prime number.

406 is not a prime number.

See Prime numbers 1 through 1000.

406 is divisible by 2

406 : 2 = 203

See Divisibility criteria for 2.

We write 2 (the divisor) to the right of the line and 203 to the left of the line:

3248  2 * 2 * 2
 406  2
 203  

203 is divisible by 7

203 : 7 = 29

We write 7 (the divisor) to the right of the line and 29 to the left of the line:

3248  2 * 2 * 2
 406  2
 203  7
  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:

3248  2 * 2 * 2
 406  2
 203  7
  29  29
   1 

The numbers to the right of the line are prime factors of the number 3248.

Therefore, the prime factorization of 3248 is

3248 =
2 * 2 * 2 * 2 * 7 * 29

The prime factorization of 3248 using exponents

3248 = 24 * 7 * 29

So, the prime factors of 3248 are

2, 2, 2, 2, 7, 29