Prime Factorization of 1200

Prime Factorization of 1200
What are the prime factors of 1200?

The prime factors of 1200 are the prime numbers that can be divided into 1200 exactly, with no remainder. The prime factorization of 1200 is the list of prime factors of 1200.

If you multiply all the prime factors of 1200 you will get 1200.

To find all the prime factors of 1200, 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 1200 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 1200 is as follows:

1200 / 2 = 600
600 / 2 = 300
300 / 2 = 150
150 / 2 = 75
75 / 3 = 25
25 / 5 = 5

2 x 2 x 2 x 2 x 3 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 1200.

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

Prime Factorization of 1201
Do you think you can do it without our calculator, based on how we got the prime factorization of 1200 on this page? If so, try one number higher and check your answer here.

Factors of 1200
Don't confuse prime factors with factors! Go here if you want to see all the factors of 1200.