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 9 \times 2, 2 \times 9, 3 \times 6, 6 \times 3, 18 \times 1, and 1 \times 18.  A natural multiple is obtained when a natural number is multiplied by another natural number.

Multiples of 2

2 \times 0 = 0 2 \times 1 = 2 2 \times 2 = 4 2 \times 3 = 6 2 \times 4 = 8
2 \times 5 = 10 2 \times 6 = 12 2 \times 7 = 14 2 \times 8 = 16 2 \times 9 = 18

 

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Multiples of 3

3 \times 0 = 0 3 \times 1 = 3 3 \times 2 = 6 3 \times 3 = 9 3 \times 4 = 12
3 \times 5 = 15 3 \times 6 = 18 3 \times 7 = 21 3 \times 8 = 24 3 \times 9 = 27

 

Multiples of 4

4 \times 0 = 0 4 \times 1 = 4 4 \times 2 = 8 4 \times 3 = 12 4 \times 4 = 16
4 \times 5 = 20 4 \times 6 = 24 4 \times 7 = 28 4 \times 8 = 32 4 \times 9 = 36

 

Multiples of 5

5 \times 0 = 0 5 \times 1 = 5 5 \times 2 = 10 5 \times 3 = 15 5 \times 4 = 20
5 \times 5 = 25 5 \times 6 = 30 5 \times 7 = 35 5 \times 8 = 40 5 \times 9 = 45

 

Multiples of 6

6 \times 0 = 0 6 \times 1 = 6 6 \times 2 = 12 6 \times 3 = 18 6 \times 4 = 24
6 \times 5 = 30 6 \times 6 = 36 6 \times 7 = 42 6 \times 8 = 48 6 \times 9 = 54

 

Multiples of 7

7 \times 0 = 0 7 \times 1 = 7 7 \times 2 = 14 7 \times 3 = 21 7 \times 4 = 28
7 \times 5 = 35 7 \times 6 = 42 7 \times 7 = 49 7 \times 8 = 56 7 \times 9 = 64

Multiples of 8

8 \times 0 = 0 8 \times 1 = 8 8 \times 2 = 16 8 \times 3 = 24 8 \times 4 = 32
8 \times 5 = 40 8 \times 6 = 48 8 \times 7 = 56 8 \times 8 = 64 8 \times 9 = 72

Multiples of 9

9 \times 0 = 0 9 \times 1 = 9 9 \times 2 = 18 9 \times 3 = 27 9 \times 4 = 36
9 \times 5 = 45 9 \times 6 = 54 9 \times 7 = 63 9 \times 8 = 72 9 \times 9 = 81

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

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.