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Prime Factorization of 1008
What are the prime factors of 1008?


The prime factors of 1008 are the prime numbers that can be divided into 1008 exactly, with no remainder. The prime factorization of 1008 is the list of prime factors of 1008.

If you multiply all the prime factors of 1008 you will get 1008.

To find all the prime factors of 1008, 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 1008 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 1008 is as follows:

1008 / 2 = 504
504 / 2 = 252
252 / 2 = 126
126 / 2 = 63
63 / 3 = 21
21 / 3 = 7

2 x 2 x 2 x 2 x 3 x 3 x 7


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 1008.





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Prime Factorization of 1009
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Factors of 1008
Don't confuse prime factors with factors! Go here if you want to see all the factors of 1008.


 


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