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.

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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.

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Emma

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.