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Multiples of 15
Multiples of 15 are whole numbers. They are the product of n natural numbers and 15. In other words, we can say that the multiples of 15 are the numbers that can be divided by 15 without leaving any remainder. We can create n number of multiples of 15 just by multiplying 15 with n natural numbers. In this minilesson, we will calculate the multiples of 15 and we will learn some interesting facts about these multiples.
 First five multiples of 15: 15, 30, 45, 60, 75
 Prime Factorization of 15: 15 = 3 × 5
Let us explore more about the multiples of 15 and their properties.
1.  What Are the Multiples of 15? 
2.  First 20 Multiples of 15 
3.  Important Notes 
4.  Thinking Out of the Box! 
5.  FAQs on Multiples of 15 
What Are the Multiples of 15?
The multiples of 15 are obtained by evaluating the product of 15 with the integers. We can observe the first 10 multiples of 15 obtained by multiplying 15 with numbers 1 to 10 individually.
 15 × any integer = multiple of 15. For example, 15 × 25 = 375
 Get the n^{th} multiple of 15 by multiplying 15 with n. For example, 15 × 4 = 60
 All the multiples of 15's factors are also multiples of 15. Factors of 15 are 1, 3, 5 and 15. The multiples of 3 and 5 are also multiples of 15.
 The 15^{th} multiple of 3 = 45. 45 is the 3^{rd} multiple of 15.
 The 30^{th} multiple of 5 = 150. 150 is the 10^{th} multiple of 15.
First 20 Multiples of 15
We get successive multiples of 15 when we multiply 15 with the successive integers. Let us list the first 20 multiples of 15.
Multiples of 15 

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 
Important Notes
 All the multiples of 15 are obtained by multiplying 15 with the integers.
 The n^{th }multiple of 15 is evaluated by getting the product of 15 with 'n'.
 Any multiple of 15 is also a multiple of 3 and 5.
To understand the concept of finding multiples, let us look at a few more examples.
 Multiples of 20  The first five multiples of 20 are 20, 40, 60, 80, and 100.
 Multiples of 12  The first five multiples of 12 are 12, 24, 36, 48 and 60.
 Multiples of 16  The first five multiples of 16 are 16, 32, 48, 64 and 80.
 Multiples of 13  The first five multiples of 13 are 13, 26, 39, 52, and 65.
 Multiples of 17  The first five multiples of 17 are 17, 34, 51, 68, and 85.
Think Tank
 What is the difference between the factors of 15 and the multiples of 15?
 Can you determine a number that is both a factor and a multiple of 15?
Multiples of 15 Solved Examples

Example 1: Ana deposits $15 in her piggy bank every month. How much will she have deposited in 3 years?
Solution:
Amount deposited by Ana in the first month = $ 15.
In the subsequent months, the amount deposited = multiples of 15.
In a year, we have 12 months and the amount deposited in 3 years = 36 × $15 = $540
Therefore, total deposit in 3 years = $540 
Example 2: Mike's practice sessions last for 12 hours a day and he has 15 days of training, how many hours would he have attended at the end of his training?
Solution:
Practice session in hours × days of training = total number of hours
12 × 15 = 180
Thus he would have attended 180 hours of training
FAQs on Multiples of 15
What are the multiples of 15?
The multiples of 15 are obtained by finding the product of 15 with any integer. The first 5 multiples of 15 are 15, 30, 45, 60 and 90.
Are all the multiples of 5, multiples of 15 also?
No, all the multiples of 5 are not multiples of 15. However, all the multiples of 15 are multiples of 5.
What is the 15th multiple of 15?
15 × 15 = 225.
225 is the 15th multiple of 15.
What is the120^{th} multiple of 15?
The 120^{th} multiple of 15 = 120 × 15 = 1800
What are the common multiples of 15 and 25?
The multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180,
The multiples of 25 are 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300
The common multiples of 15 and 25 are 75, 150,
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