Prime Factorization of 4000

Prime Factorization of 4000
What are the prime factors of 4000?

The prime factors of 4000 are the prime numbers that can be divided into 4000 exactly, with no remainder. The prime factorization of 4000 is the list of prime factors of 4000.

If you multiply all the prime factors of 4000 you will get 4000.

To find all the prime factors of 4000, 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 4000 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 4000 is as follows:

4000 / 2 = 2000
2000 / 2 = 1000
1000 / 2 = 500
500 / 2 = 250
250 / 2 = 125
125 / 5 = 25
25 / 5 = 5

2 x 2 x 2 x 2 x 2 x 5 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 4000.

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Prime Factorization of 4001
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Factors of 4000
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