Factorization of a Number

Definition

The process of expressing a number as a product of two or more numbers is called the factorization of a number.

Introduction

A number should have to write as a product of two or more numbers in a special case. Mathematically, each number in the product is called a factor of that number. So, you must know how to find the factors of a number arithmetically. Then only, it is possible to write a number in terms of its factors and this 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.

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 write a number in its factors form by factorization.

Factorise the number $6$

It is already proved that that factors of number six are $1, 2, 3$ and $6$. Let’s express the number $6$ in the form of its factors in possible ways.

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 $6$.

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 $3$.

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 $3$.

Finding the factors of a number and writing two or more its factors in product form is a mathematical process and it is called the factorization of a number.

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