# All factors of 30

#### How many factors does 30 have?

8 numbers will factor into 30. This means that there are 8 numbers 30 can be divided by completely, with no remainder.

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The factors of 30 include:

1, 2, 3, 5, 6, 10, 15, 30.

#### The factors of 30 in pairs include:

1 and 30, 2 and 15, 3 and 10, 5 and 6.

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 30 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 30 composite?

Yes, 30 is composite because many numbers besides 30 and 1 can be multiplied together to equal 30 (i.e. 2 and 15, 10 and 3, 5 and 6, etc.). 30 can be divided by numbers like 2, 5, 6, 10, and 15 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 30?

I like to create a factor tree.

See the picture below for a factor tree of 30.

**Prime factorization of 30 **

2 x 3 x 5 = 30

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