Multiples
A multiple is the product that we get when one number is multiplied by another number. For example, if we say 4 × 5 = 20, here 20 is a multiple of 4 and 5. The other multiples of 4 can be listed as 4 (4 ×1 = 4), 8 (4 × 2 = 8), 12 (4 × 3 = 12), and so on. Learning about multiples helps us to explore many other concepts in math, so let's get started!
1.  What Are Multiples? 
2.  List of Multiples 
3.  Properties of Multiples 
4.  FAQs on Multiples 
What Are Multiples?
Multiples are numbers that we get when we multiply one whole number by another whole number. Or in simple terms, you get the multiples of a number when you multiply! Do you remember the multiplication tables? We will be using them to find multiples. Let us see how it helps us to understand the meaning of multiples while we list the first five multiples of the number 6. The first five multiples of 6 are 6, 12, 18, 24, 30. You can see that the multiples of 6 are in the table of 6.
Hence, we can conclude that: Multiple of a number = The number × Any integer (not a fraction)
List of Multiples
We can list the multiples of a number by multiplying the given number to an integer (negative or positive). Notably, a number may have an infinite number of multiples. Here is a list of the multiples of a few numbers.
Number  First Ten Multiples 

3  3, 6, 9, 12, 15, 18, 21, 24, 27, 30 
4  4, 8, 12, 16, 20, 24, 28, 32, 36, 40 
5  5, 10, 15, 20, 25, 30, 35, 40, 45, 50 
10  10, 20, 30, 40, 50, 60, 70, 80, 90, 100 
Properties of Multiples
The properties of multiples tell us about them in detail. Here are some of the properties of multiples that tell us about the nature of multiples.
Every number is a multiple of itself.
For example, the first multiple of 7 is 7 because 7 × 1 = 7
The multiples of a number are infinite.
We know that numbers are infinite. Therefore, the multiples of a number are infinite. For example, if we need to list the multiples of 3, we start with: 3, 6, 9, 12, 15, 18, …. and so on. However, will you be able to list all the multiples here? No, because they are infinite.
The multiple of a number is greater than or equal to the number itself.
For example, if we take the multiples of 5: 5, 10, 15, 20, 25, 30, .… and so on. We can see that: The 1st multiple of 5 is equal to 5: 5 × 1 = 5. The 2nd multiple, the 3rd multiple, and the following multiples of 5 are all greater than 5 (10 > 5, 15 > 5, ....)
Solved Examples on Multiples

Example 1: Four friends Ria, Joe, Sam, and Tom decided to pluck flowers from the garden in the order of the first four multiples of 7. Can you list the number of flowers that each of them plucked as a series of the first four multiples of 7?
Solution:
The first four multiples of 7 are (7 × 1) = 7, (7 × 2) =14, (7 × 3) = 21, and (7 × 4) = 28. Hence, Ria plucked 7 flowers, Joe plucked 14 flowers, Sam plucked 21 flowers and Tom plucked 28 flowers.

Example 2: Ann loves watering plants. Her teacher asked her to water the pots which were marked in the order of the multiples of 9. However, she missed a few pots. Can you help her identify the pots that she missed in the following list: 9, 18, __, 36, __, 54, 63, 72, __?
Solution:
Let us start counting the multiplication table of 9: 9 × 1 = 9, 9 × 2 = 18, 9 × 3 = 27, 9 × 4 = 36, 9 × 5 = 45, 9 × 6 = 54, 9 × 7 = 63, 9 × 8 = 72, 9 × 9 = 81.
∴ The missed pots are 27, 45, and 81.
Practice Questions on Multiples
FAQs on Multiples
How Many Multiples does a Number Have?
There is no limit to the multiples of a number. In other words, a number has an uncountable or infinite number of multiples.
What are the Multiples of 5?
The multiples of 5 can be found by the following method. 5 (5 ×1 = 5), 10 (5 × 2 = 10), 15 (5 × 3 = 15), and so on. Hence, they can be listed as: 5, 10, 15, 20, 25, and so on.
What are the Multiples of 4?
The multiples of 4 are 4, 8, 12, 16, 20, and so on. These were calculated by the simple way of multiplication. 4 (4 ×1 = 4), 8 (4 × 2 = 8), 12 (4 × 3 = 12), and so on.
What are the Multiples of 2?
The multiples of 2 can be listed as 2, 4, 6, 8, 10, 12, and so on. Interestingly, this is also a list of all even numbers since all even numbers are the multiples of 2.
What is a Multiple in Math?
Multiples, in math, are numbers that we get when we multiply one whole number by another whole number. For example, in 7 × 5 = 35, 35 is the multiple of 7 and 5.
How do you Explain Multiples?
Multiples are products that we get when we multiply one whole number by another whole number. For example, 2 × 3 = 6. Here 6 is the multiple of 3 and 2. The other multiples of 2 can be listed as 2, 4, 6, 8, 10, 12, and so on.
What are the Multiples of 3?
The multiples of 3 can be listed as 3, 6, 9,12,15, and so on. These multiples can be calculated by simple multiplication, like, 3 (3 ×1 = 3), 6 (3 × 2 = 6), 9 (3 × 3 = 9), and so on.
What are Common Multiples?
Common multiples of any two numbers are the multiples that are common to both the given numbers. For example, the multiples of 3 can be listed as 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Similarly, the multiples of 5 can be listed as 5, 10, 15, 20, 25, 30. Now, if we identify the common multiples of 3 and 5 in these two lists, we get 15 and 30.
How to Find Multiples of a Number?
We get the multiples of a number when we multiply the given number by another number. In other words, a multiple is the product that we get when one number is multiplied by another number. For example, if we say 8 × 5 = 40, here 40 is a multiple of 8 and 5. The other multiples of 8 can be listed as 8 (8 ×1 = 8 ), 16 (8 × 2 = 16), 24 (8 × 3 = 24), and so on.