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Prime Factorization of 8004
What are the prime factors of 8004?


The prime factors of 8004 are the prime numbers that can be divided into 8004 exactly, with no remainder. The prime factorization of 8004 is the list of prime factors of 8004.

If you multiply all the prime factors of 8004 you will get 8004.

To find all the prime factors of 8004, 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 8004 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 8004 is as follows:

8004 / 2 = 4002
4002 / 2 = 2001
2001 / 3 = 667
667 / 23 = 29

2 x 2 x 3 x 23 x 29


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 8004.





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Prime Factorization of 8005
Do you think you can do it without our calculator, based on how we got the prime factorization of 8004 on this page? If so, try one number higher and check your answer here.

Factors of 8004
Don't confuse prime factors with factors! Go here if you want to see all the factors of 8004.


 


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