The multiples of 3 are obtained by multiplying integers with 3. In this section, we will learn about the multiples of 3. For more details about multiples, see our page “Multiples of a Number“.
What are Multiples of 3?
A number is called a multiple of 3 if it is completely divisible by 3 with the remainder zero.
For example, 3 divides 9 completely, so by the definition 9 is a multiple of 3. Similarly, 9, 12, 15, 18, 30, 300, etc. are all examples of multiples of 3 as they are completely divisible 3.
Remark: From the above definition, it is clear that any multiple of 3 can be written as 3n for some integer n. So the set of multiples of 3 is given by
{3n: n is an integer}
First 10 Multiples of 3
The first 10 multiples of 3 are as follows:
| 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 |
So we have:
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The first 10 multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30. |
Question: What are the first ten multiples of 3?
Video Solution:
First 20 Multiples of 3
The first 20 multiples of 3 are given below:
| 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 |
So we have:
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The first 20 multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, and 60. |
Properties of Multiples of 3
• Multiples of 3 can end with either 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9.