# Factor Calculator

## Knowledge Base

Factor Calculator is a whip smart mathematical tool that has been designed to assist you in factoring an expression. In simple words, this smart tool finds the factors of the given numerical expression (input).

To know about the applications and usage of this calculator, let us make you aware of the process of factoring.

So, first of all, let us make you aware of the terminology "Factor" and then “Factoring”.

## What is Factor?

A factor can be referred to as any numeral to which an integer is divisible. In simple words, a factor is a digit that can be evenly divided into any other numeral.

For an example, if we need to find the factor of 6, its factors would be 1, 2, 3 and 6. It means, 1, 2, 3, or 6 can be used to obtain "6". Or these factors can be used to divide 6 evenly. Such as $$2*3= 6,$$ or $$\frac{6}{2}=3$$You can't use 4 or any other integers except 1, 2, 3, and 6 to divide 6 evenly.

## What is Meant by "Divide Evenly"?

Divide Evenly can be referred to as a division in which no remainder is found. It means, one numeral can be divided into another numeral without any numeral leftover as the remainder. In such divisions, the only quotient is found. Such as if you divide 6/2 then you will get 3. 6/2 is the example of to divide evenly. But if you divide 7/2, you will get 3 as quotient and 1 as the remainder, and this is contradictory to divide evenly.

### Integer Factors List

You can use this factors list)o know about factors of different numerals.

• 2(1,2)
• 3(1,3)
• 4(1,2,4)
• 5(1,5)
• 6(1,2,3,6)
• 7(1,7)
• 8(1,2,4,8)
• 9(1,9)
• 10(1,2,5,10)
• 22(1,2,11,22)
• 55(1,5,11,55)
• 68(1,2,4,17,34,68)
• 88(1,2,4,8,11,22,44,88)
• 100(1,2,4,5,10,20,25,50,100)

• You can not find out the factors of decimal numbers

• Most of the odd numbers only have 1, or their own respective value as factors (Factors of 5 are 1, and 5 only)

## What is Factoring?

Factoring or Factorising can be referred to as a process of finding out the factors of a given numeral expression. Whereas, by finding the factors it means to find out the numbers that can be multiplied to get the given input.

For factoring an expression, we need to find out the greatest common factor of the expression. It means, we have to look for the highest common factor that can be used to divide all of the numbers of the expressions, evenly.

## Example of Factoring

For example, we have to factorize the following equation:

$$4x + 16y + 20x$$

At first, we find greatest common factor of this expression.

The greatest common factor of this expression is 4.

Having 4 as the greatest common factor of this expression we can factorize this expression as:

$$4 (x + 4y + 5x)$$

Let's consider another example of factoring an expression.

For example, you have to factorize 2x2−6x−18x

The greatest common factor of this expression is 2x.

Having 2x as the greatest common factor, we can factorize this expression as:

$$2x(x-3-9)$$

## How You Can Factorize Expressions Using this Factor Calculator?

This factoring calculator has been designed to help you in factoring the expressions within a second. Having this factor calculator, you have no need to put effort to find out the greatest common factor of such complex expressions. All you are required to do factoring using this factor calculator is to follow these simple steps

STEP 1: Place the expression that is to be factorized in this format (4x^(2)+20x+16)

STEP 2: Press Calculate to find out the factors

Indeed, the usage of this calculator is quite easy. So, feel free to take advantage of this smart tool to factorize such complex expressions within the second.