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Prime Factorization of 5004
What are the prime factors of 5004?


The prime factors of 5004 are the prime numbers that can be divided into 5004 exactly, with no remainder. The prime factorization of 5004 is the list of prime factors of 5004.

If you multiply all the prime factors of 5004 you will get 5004.

To find all the prime factors of 5004, 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 5004 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 5004 is as follows:

5004 / 2 = 2502
2502 / 2 = 1251
1251 / 3 = 417
417 / 3 = 139

2 x 2 x 3 x 3 x 139


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 5004.





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Prime Factorization of 5005
Do you think you can do it without our calculator, based on how we got the prime factorization of 5004 on this page? If so, try one number higher and check your answer here.

Factors of 5004
Don't confuse prime factors with factors! Go here if you want to see all the factors of 5004.


 


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