October 9, 2020

Chapters

When you multiply two numbers, you will get a number, however, if you generate a series of a fixed number with variable numbers then we call it multiples. To understand multiples, you should know the concept of multiplication. For example, we have a number **a** and a number **b. **When we multiply both numbers, we will get another number which is the multiple of **a** and **b**. It is not necessary that multiplication of two same or different numbers will result in a different number, it can be the same number.

Let's pick up a random number which is 18. The number 18 has different multiples such as , , , , , and . A natural multiple is obtained when a natural number is multiplied by another natural number.

## Multiples of 2

## Multiples of 3

## Multiples of 4

## Multiples of 5

## Multiples of 6

## Multiples of 7

## Multiples of 8

## Multiples of 9

## Properties of the Multiples of a Number

### Property no.1

Any number, except 0, is **a multiple** of itself and one.

### Property no.2

Zero is a **multiple** of all numbers.

### Property no.3

Any number, except zero, has ** infinite multiples**.

### Property no.4

If a number, **a**, is** a multiple of** **b**, the division between a and b is exact.

### Property no.5

The **sum** of several **multiples** of a number is another** multiple of** that number.

### Property no.6

The **difference** of two** multiples **of a number is another** multiple of** that number.

### Property no.7

If a number is a multiple of another, and this number is a multiple of a third one, the first number is a multiple of the third one.

### Property no.8

If a number is a multiple of another, all the** multiples** of the first number are also multiples of the second.