*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.

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**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

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