What Are The Multiples Of 3? [Solved] - Cuemath

Multiples of 3

Did you know the term "multiples" has a Latin origin and comes from the word "multiplex," where "multi" means "many," and "plex" means "fold?" Knowing the multiples of a number makes our calculations faster and easier.  In this mini-lesson, we will calculate the multiples of 3 and learn interesting facts about these multiples.

• First five multiples of 3: 3, 6, 9, 12, 15
• Prime factorization of 3: 3 = 31

1.	What Are the Multiples of 3?
2.	First 20 Multiples of 3
3.	Important Notes
4.	FAQs on Multiples of 3
5.	Tips and Tricks

What Are the Multiples of 3?

A multiple is a result of multiplying a number by an integer. Multiples of 3 are the products obtained when an integer is multiplied by 3. 

For getting the multiples of 3, we need to multiply 3 by 1, 2, 3, 4, and so on.

• 3 × 1 = 3
• 3 × 2 = 6
• 3 × 3 = 9
• 3 × 4 = 12
• 3 × 5 = 15

As we list them down, we see that there are infinite multiples of 3. Observe the multiples of 3 represented on a number line.

        

The multiples of 3 can be odd numbers or even numbers. The odd multiples of 3 are 3, 9, 15, and so on, which are not divisible by 2, whereas, 6, 12, 18, and so on are the even multiples of 3, which are divisible by 2.

List of First 20 Multiples of 3

Let us write down the first 20 multiples of 3.

Multiplying 3 by integers

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

Did you observe that 15, 30, 45, and 60 are also the multiples of 5?

To understand the concept of finding multiples, let us take a few more examples.

• Multiples of 30 - The first five multiples of 30 are 30, 60, 90, 120, 150
• Multiples of 36 - The first five multiples of 36 are 36, 72, 108, 144, 180
• Multiples of 13 - The first five multiples of 13 are 13, 26, 39, 52, 65
• Multiples of 7 - The first five multiples of 7 are 7, 14, 21, 28, 35
• Multiples of 63 - The first five multiples of 63 are 63, 126, 189, 252, 315 

Important Notes:

• Multiples are what we get after multiplying two numbers.
• The number of multiples for a given number are infinite.
• Every number is a multiple of itself.
• A multiple of the given number is always equal to or greater than the number.

Tips and Tricks:

• Skip counting by 3 helps to find multiples of 3.
• Memorize the table of 3 to list the multiples of 3.

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