# All factors of 900

How many factors does 900 have?

27 numbers will factor into 900. This means that there are 27 numbers 900 can be divided by completely, with no remainder.

The factors of 900 include:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, and 900.

The factors of 900 in pairs include:

1 and 900, 2 and 450, 3 and 300, 4 and 225, 5 and 180, 6 and 150, 9 and 100, 10 and 90, 12 and 75, 15 and 60, 18 and 50, 20 and 45, 25 and 36, and 30 and 30.

Remember that a prime number is a number greater than 1 that can only be evenly divided by itself and 1. For example, 5 is a prime number.

Is 900 a prime number?

No, because it can be evenly divided by numbers other than itself and 1.

A composite number can be divided by numbers other than itself and 1 exactly (no remainder). To put it another way, numbers besides 1 and the number itself can be multiplied together to equal that number.

Is 900 composite?

Yes, 900 is composite because many numbers besides 900 and 1 can be multiplied together to equal 900 (i.e. 2 and 450, 3 and 300, 30 and 30, etc.). 900 can be divided by numbers like 2, 450, and 30 with no remainder.

What is the prime factorization of a number? The prime factorization of a number is the process of finding all the prime factors that multiply together to equal a given number.

For instance, the prime factorization of 12 is 2 x 2 x 3 = 12.

How can we find the prime factorization of 900?

I like to create a factor tree.

See the picture below for a factor tree of 900. Prime factorization of 900

2 x 2 x 5 x 5 x 3 x 3 = 900