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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 mini-lesson, 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.

first ten multiples of 15

  • 15 × any integer = multiple of 15. For example, 15 × 25 = 375
  • Get the nth 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 15th multiple of 3 = 45. 45 is the 3rd multiple of 15.
  • The 30th multiple of 5 = 150. 150 is the 10th 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 nth 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

  1. 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

  2. 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

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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 the120th multiple of 15?

The 120th 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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