What is a Multiple?

In mathematics, multiples is one of the important concepts which is used in many real life applications. As we know, the multiplication tables are the basis for finding the multiples of given numbers. In this article, you will learn what is a multiple in maths, how to find the multiples of a given number and examples of multiples in detail.

What is a Multiple of a Number?

A multiple of a number is a number that is the product of a given number and some other natural number. For example, when we multiply 7 by 3, we get 21, i.e. 7 × 3 = 21. Here, 21 is the multiple of 7. Also, 7 and 3 are called the factors of 21.

Properties of Multiples of a Number

Some of the important properties of multiples of a number are listed below.

• Every multiple of a number is greater than or equal to that number.
• For example, 5, 10, 15, 20,…. are the multiples of 5. Here, we can observe that each of these multiples is greater than or equal to 5.
• The number of multiples of a given number is infinite.
• As we know, 9, 18, 27, 36, 45, 54,…. are the multiples of 9. However, this list of multiples is endless since we can multiply infinite integers to the given number.
• Every number is a multiple of itself. For example, 7 is a multiple of 7 since the multiples of 7 include 7, 14, 21, 28, etc.
• If Q is the multiple of P, then Q is exactly divisible by P. 32/8 = 4 such that 32 is a multiple of 8.
• The above property is used to verify the multiples of a number.

How to Find the Multiple of a Number

If two values p and q are there, we say that q is a multiple of p if q = np for some integer n. Thus, multiples of a number can be obtained by multiplying the given number with some integer but not a fraction. Also, we can find the multiples for a given number using repeated addition of the number as many times as required. Some of the examples are shown below such as multiples of 2, 3, 4, 5, and so on.

What is a Multiple of 2

Multiple of 2 is the number obtained by multiplying 2 with integers such as 1, 2, 3, and so on. In other ways, we can find by repeatedly adding 2. Let’s have a look at the first 10 multiples of 2 in both of these methods.

What is a Multiple of 3

Multiple of 3 is the number obtained by multiplying 3 with integers such as 1, 2, 3, and so on. In other ways, we can find by repeatedly adding 3. Go through the table given below to get the first 10 multiples of 3 in both of these methods.

What is a Multiple of 4

The number obtained by multiplying 4 with integers such as 1, 2, 3, and so on is called the multiple of 4. In other ways, we can find by repeatedly adding 4. The below table contains the first 10 multiples of 4 in both of these methods.

What is a Multiple of 5

Multiple of 5 is the number obtained by multiplying 5 with numbers such as 1, 2, 3, and so on. In other ways, we can find by repeatedly adding 5. Go through the table given below to get the first 10 multiples of 5 in both of these methods.

What is a Multiple of 6

Multiple of 6 is the product obtained after multiplying 7 with some integers like 1, 2, 3, and so on. The below table shows the first 10 multiples of 6 using multiplication and repeated addition.

What are the Multiples of 8

The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96,…… These can be expressed using multiplication of 8 by other numbers like 1, 2, 3, and so on and also using repeated addition.

What is a Multiple of 10

Finding the multiple of 10 is quite simple. Suppose, the fifth multiple of 10 can be obtained by getting the 5 times value of 10, i.e. 5 × 10 = 50. Similarly, the first 10 multiples of 10 can be expressed as: