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Multiples are thus the product of a number and the numbers 1, 2, 3, 4 and so on.

Multiples of 8 Multiples of 10 Multiples of 14

8 × 1 = 8 10 × 1 = 10 14 × 1 = 14

8 × 2 = 16 10 × 2 = 20 14 × 2 = 28
8 × 3 = 24 First 6 10 × 3 = 30 First 6 14 × 3 = 42 First 6
multiples multiples multiples
8 × 4 = 32 of 8 10 × 4 = 40 of 10 14 × 4 = 56 of 14
8 × 5 = 40 10 × 5 = 50 14 × 5 = 70

8 × 6 = 48 10 × 6 = 60 14 × 6 = 84

The product of two or more numbers is called a multiple of each of these numbers.
For example, 16 × 5 = 80.

80 is the product of 16 and 5. So, 80 is a multiple of both 5 and 16.

properties of Multiples

1. Every number is a multiple of 1.

For example, 1 × 2 = 2, 1 × 5 = 5, 1 × 7 = 7, 1 × 12 = 12, etc.

2. The smallest (first) multiple of a number is the number itself.
For example, 5 × 1 = 5, 8 × 1 = 8, 11 × 1 = 11, etc.

3. The multiple of a number is equal to or greater than the number.

For example, the multiples of 5 are 5, 10, 15, 20, 25, etc.

4. There are infinite multiples of a number.

For example, multiples of 2 can be 2, 4, 6, 8, 10, 12, 14, 16, ...

Finding Multiples of a Number

example 1. Find the first three multiples of 4.
Solution. The multiples of a number can be found by

multiplying it by 1, 2, 3, 4 and so on. To find the first three
multiples of 4, multiply
4 × 1 = 4 4 × 2 = 8 4 × 3 = 12 4 by 1, 2 and 3.

Thus, the first three multiples of 4 are 4, 8, 12.

example 2. Find the 10th multiple of 13.
To find the 10th
Solution. 13 × 10 = 130 multiple of 13, multiply

Thus, the 10th multiple of 13 = 130. 13 by 10.

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Multiples and Factors