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Last updated on January 28th, 2025

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Multiples of 3

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Foundation
Intermediate
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In mathematics, a multiple of a number is a result obtained when one number is multiplied by an integer. In daily life, we apply the function of multiples for grouping any items. In this article, we will learn about operation common mistakes and examples on multiple of 3.

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What Are the Multiples of 3?

A number is called multiple of another number if it is obtained by multiplying that number with a whole number. Interestingly every number is a multiple of its own because when you multiply with 1 we get the same number . Zero is also the multiple of every number because any number multiplied by 0 results in 0. If a × b = c, then c is a multiple of a and b. For example, a product of 3 × 2, gives 6. Now, 6 is a multiple of both 3 and 2. Let us know more about multiples.

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List of First 20 Multiples of 3

Multiples of 3 are the result we get when we multiply 3 with the whole numbers. First 20 multiples of 3 are listed below:

 

3 × 0 = 0
3 × 1 = 3 
3 × 2 = 6
3 × 3 = 9 
3 × 4 = 12
3 × 5 = 15
3 × 6 = 18
3 × 7 = 21
3 × 8 = 24
3 × 9 = 27
3 × 10 = 30
3 × 11 = 33
3 × 12 = 36 
3 × 13 = 39
3 × 14 = 42
3 × 15 = 45
3 × 16 = 48 
3 × 17 = 51
3 × 18 = 54
3 × 19 = 57
3 × 20 = 60

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Operations with Multiples of 3

Working with multiples becomes easy once u understand a few simple rules about what is going to happen when you add, subtract, multiply or divide them. Here is an overview : 

 

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Sum of first 5 Multiples of 3

The first five multiples of 3 are the result of multiplying 3 with a number from 1 to 5. Therefore, the first five multiples are 3, 6, 9, 12, 15.

 

The sum of these multiples is:


3 + 6 + 9 + 12 + 15 = 45

 

Hence, the result of adding first five multiples is 45 
 

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Subtraction of first 5 Multiples of 3

As we know, the first five multiples of 3. Let's see what happens when we subtract each multiple with next multiple. 

 

3 - 3 = 0
6 - 0 = 6
9 - 6 = 3
12 - 3 = 9
15 - 9 = 6 

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Average of first 5 Multiples of 3

 The concept of multiples helps us to understand patterns in numbers. Let us explore the first five multiples and find their average.

3, 6, 9, 12, 15 are the first 5 multiples of 3.


Adding them we get:


 3 + 6 + 9 + 12 + 15 = 45


To calculate the average of multiples, divide the total sum of multiples with the total numbers of multiples.


Average = 45 / 5 = 9.


The average of the first five multiples of 3 is 9.
 

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Product of First 5 Multiples of

 Let us find the product of the first five multiples of 3 and see how the number increases as we continue multiplying. 

 

The product of the first five multiples is:

 

3 × 6 × 9 × 12 × 15 = 29160.

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Division of the first 5 multiples of 3:

Division is splitting a number into equal parts, it shows how many equal parts a number can be divided by another number. Let’s divide each of these multiples of 3 by 3:

 

3 ÷ 3 = 1

6 ÷ 3 = 2

9 ÷ 3 = 3

12 ÷ 3 = 4

15 ÷ 3 = 5

 

When we divide the first five multiples of 3 by 3 we get the quotients as follows 1, 2, 3, 4, 5.  
 

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Common Mistakes and How to Avoid Them in Multiples of 3

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Multiples of 3 Examples

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Problem 1

If 1 pencil costs 3 each, how much will 8 pencils cost?

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Explanation

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Problem 2

A monkey picks 3 bananas every day. How many bananas does the monkey pick in 15 days?

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Explanation

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Problem 3

There are 3 flowers in each pot. If a gardener has 18 flowers, how many pots can be filled?

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Explanation

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Problem 4

A farmer has 27 apples and wants to pack them into groups of 3 apples each. How many groups can the farmer make?

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Explanation

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Problem 5

How many multiples of 3 can you find between the numbers 10 and 20?

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Explanation

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FAQs on Multiples of 3

1.What is the smallest multiple of 3?

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2.Are all odd numbers multiples of 3?

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3.Can a decimal number be a multiple of 3?

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4.Is 1 a multiple of 3?

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5.Are multiples of 3 multiples of 1?

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Important Glossaries for Multiples of 3

  • Whole numbers: includes all the non negative integers starting from 0 and going on. 

 

  • Multiple:  product of multiplying a number with a whole number. For example, 3 × 2 = 6, here 6 is the multiple of 3.

 

  • Factors: A factor is a number that divides another number completely, leaving no remainder.For e.g., the factors of 3 are 1 and 3.
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Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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