The Lesson
A multiple is the result of multiplying a number by an integer (a whole number).Dictionary Definition
The Oxford English Dictionary defines a multiple as "a quantity which results from multiplying the given quantity by an integer."A Real Example of Multiples
It is easier to understand multiples with an example. The multiples of 3 are found by multiplying 3 by the integers: 1, 2, 3, 4, 5... 3 is the result of multiplying 3 by 1.
 6 is the result of multiplying 3 by 2.
 9 is the result of multiplying 3 by 3.
 12 is the result of multiplying 3 by 4.
 15 is the result of multiplying 3 by 5.
More Examples of Multiples

The multiples of 2 are:

The multiples of 5 are:

The multiples of 7 are:
How to Find the Multiples of a Number
To find multiples of a number, multiply it by successive integers: 1, 2, 3, 4, 5... For example, to find multiples of 4, multiply it by successive integers:
4 × 1 = 4
4 × 2 = 8
4 × 3 = 12
4 × 4 = 16
4 × 5 = 20