Prime Factorization of 5000

Prime Factorization of 5000
What are the prime factors of 5000?

The prime factors of 5000 are the prime numbers that can be divided into 5000 exactly, with no remainder. The prime factorization of 5000 is the list of prime factors of 5000.

If you multiply all the prime factors of 5000 you will get 5000.

To find all the prime factors of 5000, 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 5000 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 5000 is as follows:

5000 / 2 = 2500
2500 / 2 = 1250
1250 / 2 = 625
625 / 5 = 125
125 / 5 = 25
25 / 5 = 5

2 x 2 x 2 x 5 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 5000.

Prime Factorization Calculator
For a different number, simply enter it in the box below and press "Factorization".

Prime Factorization of 5001
Do you think you can do it without our calculator, based on how we got the prime factorization of 5000 on this page? If so, try one number higher and check your answer here.

Factors of 5000
Don't confuse prime factors with factors! Go here if you want to see all the factors of 5000.