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Prime Factorization of 400
What are the prime factors of 400?


The prime factors of 400 are the prime numbers that can be divided into 400 exactly, with no remainder. The prime factorization of 400 is the list of prime factors of 400.

If you multiply all the prime factors of 400 you will get 400.

To find all the prime factors of 400, 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 400 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 400 is as follows:

400 / 2 = 200
200 / 2 = 100
100 / 2 = 50
50 / 2 = 25
25 / 5 = 5

2 x 2 x 2 x 2 x 5 x 5


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 400.





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Prime Factorization of 401
Do you think you can do it without our calculator, based on how we got the prime factorization of 400 on this page? If so, try one number higher and check your answer here.

Factors of 400
Don't confuse prime factors with factors! Go here if you want to see all the factors of 400.


 


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