*All factors of 200*

How many factors does 200 have?

12 numbers will factor into 200. This means that there are 12 numbers 200 can be divided by completely, with no remainder.

#### The factors of 200 include:

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200.

#### The factors of 200 in pairs include:

1 and 200, 2 and 100, 4 and 50, 5 and 40, 8 and 25, 10 and 20.

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

#### Is 200 a prime number?

No, because it can be 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 200 composite?

Yes, 200 is composite because many numbers besides 200 and 1 can be multiplied together to equal 200 (i.e. 2 and 100, 4 and 50, etc.). 200 can be divided by numbers like 4, 5, 8, 25, etc. 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 200?

I like to create a factor tree.

See the picture below for a factor tree of 200.

Prime factorization of 200

2 x 2 x 2 x 5 x 5 = 200

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