The multiples of 15 are obtained by multiplying integers with 15. In this section, we will learn about the multiples of 15. For more details about multiples, see our page “Multiples of a Number“.
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What are Multiples of 15?
A number is called a multiple of 15 if it is completely divisible by 15 with the remainder zero.
For example, 15 divides 30 completely, so by the definition 30 is a multiple of 15. Similarly, 15, 30, 45, 60, 150, 1500, etc. are all examples of multiples of 15 as they are completely divisible 15.
Remark: From the above definition, it is clear that any multiple of 15 can be written as 15n for some integer n. Thus, the set of multiples of 15 in set-builder form is given as follows:
{15n: n is an integer}
First 10 Multiples of 15
The first 10 multiples of 15 are as follows:
| 15×1=15 | 15×2=30 |
| 15×3=45 | 15×4=60 |
| 15×5=75 | 15×6=90 |
| 15×7=105 | 15×8=120 |
| 15×9=135 | 15×10=150 |
So we have:
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The first 10 multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135 and 150. |
Question: What are the first ten multiples of 15?
Video Solution:
First 20 Multiples of 15
The first 20 multiples of 15 are given below:
| 15×1=15 | 15×2=30 |
| 15×3=45 | 15×4=60 |
| 15×5=75 | 15×6=90 |
| 15×7=105 | 15×8=120 |
| 15×9=135 | 15×10=150 |
| 15×11=165 | 15×12=180 |
| 15×13=195 | 15×14=210 |
| 15×15=225 | 15×16=240 |
| 15×17=255 | 15×18=270 |
| 15×19=285 | 15×20=300 |
So we have:
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The first 20 multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,210, 225, 240, 255, 270, 285 and 300. |
Properties of Multiples of 15
• Multiples of 15 always end with either 0 or 5.