Prime Factorization of 2008

Prime Factorization of 2008
What are the prime factors of 2008?

The prime factors of 2008 are the prime numbers that can be divided into 2008 exactly, with no remainder. The prime factorization of 2008 is the list of prime factors of 2008.

If you multiply all the prime factors of 2008 you will get 2008.

To find all the prime factors of 2008, divide it by the lowest prime number possible.

Then divide that result by the lowest prime number possible. Keep doing this until the result itself is a prime number.

The prime factorization of 2008 will be all the prime numbers you used to divide, in addition to the last result, which is a prime number.

The math and the solutions to prime factorization of 2008 is as follows:

2008 / 2 = 1004
1004 / 2 = 502
502 / 2 = 251

2 x 2 x 2 x 251

NOTE: The solution above must be correct, because they are all prime numbers and if you multiply them together you will find that they equal 2008.

Prime Factorization Calculator
For a different number, simply enter it in the box below and press "Factorization".

Prime Factorization of 2009
Do you think you can do it without our calculator, based on how we got the prime factorization of 2008 on this page? If so, try one number higher and check your answer here.

Factors of 2008
Don't confuse prime factors with factors! Go here if you want to see all the factors of 2008.