Math Doubts

Factorization of a Number

A number should have to be written as a product of two or more numbers in some cases. It is possible by writing that number in its factors. So, you must know how to find the factors of a number arithmetically. The process of factoring a number is called as follows.

  1. Factorization of a Number (US Language)
  2. Factorisation of a Number (UK Language)

Now, let’s learn how to factorize a number in mathematics by some simple examples.

There are two simple steps to factorise any number in mathematics.

Steps

  1. Find the list of factors of a number by division.
  2. Write the number as a product of two or more factors of that number.

Examples

Let’s understand how to factorize a number from some examples by using above steps.

The factors of number $6$ are $1, 2, 3$ and $6$. Now, let’s learn how to factorise the number $6$.

The product of $1$ and $6$ is equal to $6$. So, the number $6$ can be written as a product of its factors $1$ and $6$.

Case: 1

$6$ $\,=\,$ $1 \times 6$

The product of $2$ and $3$ is equal to $6$. So, the number $6$ can be written as a product of its factors $2$ and $3$.

Case: 2

$6$ $\,=\,$ $2 \times 3$

The product of $1, 2$ and $3$ equals to $6$. So, the number $6$ can be written as a product of its factors $1, 2$ and $3$.

Case: 3

$6$ $\,=\,$ $1 \times 2 \times 3$

The above examples understand you how to factorize a number by knowing its factors. Now, you can factorize any number by following above procedure.