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# Factors

As we start to get into division, we''ll start hearing the word "factors" very often. But what exactly is a factor? how is this concept related to division? What do we need to know about factors? Let''s find out:

## Factors defined

Factors are like smaller building blocks of numbers. When we multiply them, we get the original number that we broke down into smaller parts.

For example, 5 is a factor of 10, since we can multiply 5 by 2 to get 10. But 2 is also a factor of 10 since we can multiply 2 by 5 to get 10.

Aside from 1 and 10, there are no other factors for the number 10. We can''t use numbers like 3.33 and 3 because factors must be a whole number.

## What about polynomials?

The term "factor" takes on a slightly more complex meaning when we''re dealing with polynomials.

Consider the following:

^{2}-2x-3

Why?

Because we can do this:

^{2}-2x-3

In other words,

## Common factors

Common factors can be very important in math.

We can look at two different numbers and determine if they have common factors. For example:

^{2}-2x-3

and

^{2}-2x-3 =(x+1)(x-3)

## Topics related to the Factors

## Flashcards covering the Factors

Common Core: 4th Grade Math Flashcards

## Practice tests covering the Factors

Common Core: 4th Grade Math Diagnostic Tests

## Connect your student with a qualified tutor who understands factors

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