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Factor Calculator

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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. If you want to learn what is a factor in math, continue reading.

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". Factoring trinomials 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 Factoring?

Factoring quadratics can be referred to as a process of finding out the factors of a given numeral expression. Whereas, by finding the factoring trinomials 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.

Factoring Calculator is design for factoring, if you want to learn about factorial, learn from our Factorial Calculator.

How to factor an equation?

One can learn how to factor easily. 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:

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

Our prime factorization calculator also deals with factoring quadratics, If you want to learn how to calculate quadratic equations, use Quadratic Formula Calculator. If you want to learn about the values of greatest common factors, find our GCF Calculator.

How do you divide a number 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 to 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)

Facts About Factors

  • 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)

For deep learning of midpoint values & mean values along with their calculations, try Midpoint Calculator & Mean Calculator.

How to factor Polynomials?

first we'll write all the factors of negative 6.

  • -1 6
  • 1 -6
  • -2 3
  • 2 -3

polynomial3

If we could multiply these combinations of numbers we'll get -6.

Now if we add each one of these pairs we'll get

Now we'll see whether we have a pair which adds upto the center number which is "x".

  • -1 6 = 5
  • 1 -6 = -5
  • -2 3 = 1
  • 2 -3 = -1

polynomial4


It ends up with (x - 2) (x + 3)

How to factor Trinomials?

Finding trinomial is easy. Let's say we have an equation

$$x^2 + 5x + 6$$

Notice the leading co efficient is 1. and the last number is 6. We'll find 2 numbers that multiply to 6 but add to the middle value of 5.


factor trinomials


now you can foil and check the answer which will be

$$(x + 2) (x + 3)$$

How to use Factor Calculator?

The factor calculator makes factor by grouping easy. 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. You can do factorization with factor calculator by following 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. Factor Calculator enables solving quadratic equations by factoring.

You can also try our Arithmetic Sequence Calculator & Distance Formula Calculator for learning math concepts & functions.

We hope our calculator helped you with calcultions. Please provide your valuable feedback so that we could constantly improve. Cheers!


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