# Representation of the Arithmetic factors

## Definition

A system of denoting the factors of a number is called the representation of the arithmetic factors.

### Introduction

A number can be expressed as a product of two or more numbers in arithmetic. All the numbers involved in the multiplication are called the arithmetic factors. It is time to learn how to represent the arithmetic factors in mathematical form.

$18$

There are three ways to write the number $18$ as factors in arithmetic.

 $(1).$ $18$ $\,=\,$ $1 \times 18$ $1$ and $18$ are the factors of $18$ $(2).$ $18$ $\,=\,$ $2 \times 9$ $2$ and $9$ are the factors of $18$ $(3).$ $18$ $\,=\,$ $3 \times 6$ $3$ and $6$ are the factors of $18$

It clears that $1$, $2$, $3$, $6$, $9$ and $18$ are the factors of the natural number $18$.

### Representation

The list of factors of a number is denoted by the upper-case alphabet $F$. So, the factors of number $18$ are written as $F$ subscript $18$ in mathematical form.

$F_{18}$ $\,=\,$ $1$, $2$, $3$, $6$, $9$ and $18$

In this way, the factors of any number is represented in mathematical form.

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