How to Find Multiples of a Number?
To find multiples of a number, we simply multiply the given number by another whole number. For example, if we have a number 3, its multiples are numbers like 3, 6, 9, 12, and so on, which are obtained by multiplying 3 by 1, 2, 3, 4, and so on.
We can also find multiples of a number by continuously adding the given integer to itself. For example, to find multiples of 10, we add 10 to to itself several times and obtained multiples are: 10, 20, 30, 40……
Let us look at the multiples of some common numbers:
Multiples of 2
Multiples of 2 are numbers obtained by multiplying two by whole numbers such as 1, 2, 3, etc. Another method for finding multiples of 2 is to add 2 to itself repeatedly.
Let’s use these methods to look at the first ten multiples of two.
|
Multiplying 2 by integers |
Repeatedly adding 2 |
|---|---|
|
2 x 1 = 2 |
2 |
|
2 x 2 = 4 |
2 + 2 = 4 |
|
2 x 3 = 6 |
2 + 2 + 2 = 6 |
|
2 x 4 = 8 |
2 + 2 + 2 + 2 = 8 |
|
2 x 5 = 10 |
2 + 2 + 2 + 2 + 2 = 10 |
|
2 x 6 = 12 |
2 + 2 + 2 + 2 + 2 + 2 = 12 |
|
2 x 7 = 14 |
2 + 2 + 2 + 2 + 2 + 2 + 2 = 14 |
|
2 x 8 = 16 |
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 16 |
|
2 x 9 = 18 |
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 18 |
|
2 x 10 = 20 |
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20 |
Multiples of 4
Multiples of 4 are numbers obtained by multiplying 4 by integers such as 1, 2, 3, and so on. Alternatively, we may generate multiples of 4 by repeatedly adding 4 to itself.
Let’s look at the first ten multiples of four.
|
Multiplying 4 by integers |
Repeatedly adding 4 |
|---|---|
|
4 x 1 = 4 |
4 |
|
4 x 2 = 8 |
4 + 4 = 8 |
|
4 x 3 = 12 |
4 + 4 + 4 = 12 |
|
4 x 4 = 16 |
4 + 4 + 4 + 4 = 16 |
|
4 x 5 = 20 |
4 + 4 + 4 + 4 + 4 = 20 |
|
4 x 6 = 24 |
4 + 4 + 4 + 4 + 4 + 4 = 24 |
|
4 x 7 = 28 |
4 + 4 + 4 + 4 + 4 + 4 + 4 = 28 |
|
4 x 8 = 32 |
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 32 |
|
4 x 9 = 36 |
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36 |
|
4 x 10 = 40 |
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 40 |
Multiples of 5
Multiples of 5 are the numbers obtained by multiplying 5 by whole numbers such as 1, 2, 3, and so on. We may also discover multiples of 5 by adding 5 repeatedly.
Let’s use these methods to look at the first ten multiples of five.
|
Multiplying 5 by integers |
Repeatedly adding 5 |
|---|---|
|
5 x 1 = 5 |
5 |
|
5 x 2 = 10 |
5 + 5 = 10 |
|
5 x 3 = 15 |
5 + 5 + 5 = 15 |
|
5 x 4 = 20 |
5 + 5 + 5 + 5 = 20 |
|
5 x 5 = 25 |
5 + 5 + 5 + 5 + 5 = 25 |
|
5 x 6 = 30 |
5 + 5 + 5 + 5 + 5 + 5 = 30 |
|
5 x 7 = 35 |
5 + 5 + 5 + 5 + 5 + 5 + 5 = 35 |
|
5 x 8 = 40 |
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 40 |
|
5 x 9 = 45 |
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 45 |
|
5 x 10 = 50 |
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 50 |
Multiples
Multiples, in mathematics, are the numbers obtained by the product of the original number with another integer like 1, 2, 3, etc. Every number has infinite multiples. For example, 30 is a multiple of 5 as 5 × 6 = 30.
In this article, we will learn about multiples, list of some common multiples, method to find multiple of a number along with some solved examples.
Table of Content
- What are Multiples?
- Multiples of a Number
- List of Multiples
- How to Find Multiples of a Number?
- Factors and Multiples
- Common Multiples
- Properties of Multiples
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