Multiples

A multiple is a 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, 8, 12, and so on. Learning about multiples helps us to explore many other concepts in math, so let us learn more about what are multiples, the definition of multiples, along with some multiple examples.

According to the definition of multiples in maths, 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 (non zero) multiples of the number 6. The first five (non zero) multiples of 6 are 6, 12, 18, 24, and 30. We can see that the multiples of 6 are listed in the table of 6.

Hence, we can conclude that: Multiple of a number = Number × Any integer (not a fraction).

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.

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.

1) Every number is a multiple of itself.

For example, the first non-zero multiple of 7 is 7 because 7 × 1 = 7.

2) 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.

3) The multiple of a number is greater than or equal to the number itself (except for 0).

For example, let us 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 × 1 = 5. The 2nd multiple, the 3rd multiple, and the following multiples of 5 are all greater than 5 (10 > 5, 15 > 5, ....).

Factors and multiples are related to each other. A factor is a number that divides another number completely without any remainder, while a multiple is a product that is obtained when one number is multiplied by another number. For example, in 3 × 4 = 12, 3 and 4 are the factors of 12, while 12 is a multiple of 3 and 4.

A common multiple is a number that is a shared multiple for a given set of numbers. In other words, the multiples that are common to two or more numbers are termed as the common multiples of those numbers. For example, the multiples of 3 can be listed as 3, 6, 9, 12, 15, 18, 21, 24, 27, and so on. The multiples of 4 can be listed as 4, 8, 12, 16, 20, 24, 28, 32, 36, and so on. Now, if we identify the common multiples of 3 and 4 in these two lists, we get 12 and 24.

Multiples of Numbers:

• Multiples of 8
• Multiples of 9
• Multiples of 10
• Multiples of 11
• Multiples of 12
• Multiples of 13
• Multiples of 14
• Multiples of 15
• Multiples of 16
• Multiples of 17
• Multiples of 18
• Multiples of 20
• Multiples of 21
• Multiples of 24
• Multiples of 25
• Multiples of 30
• Multiples of 45
• Multiples of 60
• Multiples of 100

What are Multiples 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 are Factors and Multiples Related?

A factor is a number that divides another number completely without any remainder. A multiple is a product that is obtained when one number is multiplied by another number. For example, in 6 × 8 = 48, 6 and 8 are the factors of 48, while 48 is a multiple of 6 and 8.

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. Note that there are infinite common multiples of any set of numbers. Common multiples of two numbers can be found by finding the multiples of the LCM of those two numbers.

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 a 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.

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 can be 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 multiples of 2.

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 simply multiplying 3 with the counting numbers, like, 3 (3 ×1 = 3), 6 (3 × 2 = 6), 9 (3 × 3 = 9), and so on.