# Factor Definition

If a number leaves a reminder **“0”** while dividing another number, then it is called to be the **Factor** of that divisible number.

**Table of Contents**

**For example**

If you are dividing **12 by 4**, then 4 will be a factor of 12 because it leaves a remainder in the end.

We can also define Factor in another way

The numbers that we **multiply** to get the **resultant** will be called the factors of the resultant number.

**For example**

We get 12 by multiplying 3 and 4. It means that 3 and 4 are the factors of the 12.

## Are factors and multiples the same?

No, Factors and multiples are referred to two different numbers or conditions. **Multiples** are those numbers that come in the way while we are pronouncing a table of any number.

**For example**

3, 6, 9, and 12 are multiples of “3” because these numbers can be divided by 3.

**Note:**

You can read about “**Multiples**” in detail here on this page of our tool.

### Representation of Factors

There is no specific representation of Factors in general Mathematics. But it can be shown distinctly in Algebra.

For instance, you may get factors like **(x + 3) (x - 7)**, etc in algebra. These are called factors because both of these are multiplied by each other to get the result.

### Fun Facts about Factors

**Two negative factors**always give a**positive result**- Two factors with
**opposite signs**always give a**negative number**in the result. - A number can't have a single factor but it always has at
**least two factors**.

### FAQ's

**Is factor have any other name?**

In Mathematics, Factors are also called roots of the same number. In simple words, you can say that 3 is the root of 12 instead of saying 3 is the factor of the root.

**What is the importance of factors?**

Finding factors has great importance because it helps the students learn different techniques. You must have to learn how to find "Prime Factors" to solve a question for finding LCM and HCF.

**How can we find a factor of a particular number?**

To find factors of any particular number, you have to divide that number with your set of words. The numbers that will leave a reminder at the end will be called the factors of that number.