Math Doubts

How is Every number a factor of itself?

Property

Every number is a factor of itself.

Introduction

According to the concept of a factor, if a number divides any number completely, then the number is called a factor of that other number.

Let’s discuss a fact about every number.

Every number has ability to divide that the same number completely in mathematics. So, every number is generally called a factor of itself.

why is every number a factor of itself?

Proof

Let’s prove how every number is a factor of itself, by two simple arithmetic examples.

Example: 1

$3 \div 3$

Let’s divide the number $3$ by the same number.

$=\,\,$ $\dfrac{3}{3}$

$=\,\,$ $1$

The natural number $3$ completely divides the same number. So, the number $3$ is a factor of itself.

Example: 2

$8 \div 8$

Let’s divide the number $8$ by the same number.

$=\,\,$ $\dfrac{8}{8}$

$=\,\,$ $1$

The natural number $8$ completely divides the same number. So, the number $8$ is a factor of itself.

The above two understandable examples proved that each number can divide that the same number completely.

You can repeat same procedure to divide every number by itself and you will observe that every number divides that the same number completely.

Therefore, it is proved that each number is a factor of itself.