Prime Factorization of 48

Prime Factorization of 48
What are the prime factors of 48?

The prime factors of 48 are the prime numbers that can be divided into 48 exactly, with no remainder. The prime factorization of 48 is the list of prime factors of 48.

If you multiply all the prime factors of 48 you will get 48.

To find all the prime factors of 48, 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 48 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 48 is as follows:

48 / 2 = 24
24 / 2 = 12
12 / 2 = 6
6 / 2 = 3

2 x 2 x 2 x 2 x 3

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 48.

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

Prime Factorization of 49
Do you think you can do it without our calculator, based on how we got the prime factorization of 48 on this page? If so, try one number higher and check your answer here.

Factors of 48
Don't confuse prime factors with factors! Go here if you want to see all the factors of 48.