#FutureSTEMLeaders - Wiingy's $2400 scholarship for School and College Students

Apply Now

Multiples

What are the Multiples of 15? | All Multiples of 15 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

What are the Multiples of 15? | All Multiples of 15 up to 1000

What are the Multiples of 15? | All Multiples of 15 up to 1000

Multiples of 15 are the numbers that are n times 15, where n is a sequence of natural numbers. To put it in other words, multiples of 15 are the numbers that don’t leave any remainder after dividing with the number 15. To find multiples of the number 15, we can either use repeated addition or the multiplication method. In this article, let us learn how to find multiples and 15 multiples up to 1000. Read further to find out more.

What Are the Multiples of 15?

Multiplying the number 15 with any natural number gives the 15 multiples. Multiples of 15 can be expressed as 15n, where n is a natural number. As an example, consider the case where there are two values, a and b, where b is the multiple of ‘a’ if b = na for some integer n. The multiples of 15, when divided by any natural number, leave no remainder, which is known as the number of multiples of 15.

multiples of 15
The first 10 multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150.

How to Find Multiples of 15?

To find out the multiples of the number 15, we can either use repeated addition or multiplication of the number 18 with a sequence of natural numbers. The detailed steps on how to find 15 multiples are given below:

Using the Repeated Addition Method To Find Multiples of 15

For this method, just add the number 15 with 0 and you will get 15 which is the first multiple of 15. To obtain the second multiple of 15 add the sum of the first multiple with 15, i.e., 15+15 = 30. An example of the first five multiples of 15 is given below:

Finding multiples of 15 using the repeated addition
15+0=15
15+15=30
30+15=45
45+15=75
75+15=90

Using the Multiplication Method To Find Multiples of 15

To find multiples of 15 using the multiplication method, we need to multiply the number 15 with a sequence of natural numbers. The detailed steps on how to do this are tabulated below:

Finding multiples of 15 using the multiplication method
15X1=15
15X2=30
15X3=45
15X4=75
15X5=90

Finding First 20 Multiples of 15 Using the Multiplication Method

The steps included in finding the first 20 multiples of 15 using the multiplication method 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

What Are the Multiplies of 15 Up to 1000?

The multiples of 15 up to 1000 are given below:

153045607590105120135150
165180195210225240255270285300
315330345360375390405420435450
465480495510525540555570585600
615630645660675690705720735750
765780795810825840855870885900
9159309459609759901005102010351050

Properties of Multiples of 15

Here are a few properties of multiples of 15:

  • 15 is a multiple of 1. For example, 15X 1=15.
  • The smallest multiple of 15 is the number 15.
  • Every number of a multiple of fifteen is greater than or equal to the number 15.
  • Any multiple of 15 is also a multiple of 3 and 5.
  • The 30th multiple of the number 5 is 150 and the 10th multiple of 15 is also 150.
  • The 15th multiple of the number 3 is 45 and the 3rd multiple of 15 is also 45.

Solved Examples of Multiples of 15

Q 1: What are the multiples of 15 between 25 and 100?
A 1:
The multiples of 15 between 25 and 100 are 30, 45, 60, 75, 90, and 105.
15×2 =30
15×3 =45
15×4 =60
15×5 =75
15×6 =90

Q 2: Can you determine a number that is both a multiple and a factor of 15?
A 2:
To determine the number that is both multiple and factors of 15 are:
Multiples of 15: 15, 30, 45, 60, etc.,
Factors of 15: 1, 3, 5, and 15.
From the above, 15 is the only number that is both a multiple and a factor of 15.

Q 3: How do you find multiples of 15?
A 3:
You can find multiples of 15 either using two methods namely – Repeated Addition and Multiplication.
1. The Multiplication Method: Multiply the digits by 15 to determine multiples of that number.
Example:
15 X 1 = 15,
15 X 2 = 30,
15 X 3 = 45 etc.,
2. Repeated Addition: Also you can find multiples of 15 by performing repeated addition.
Example:
15 + 15 = 30,
30 + 15 = 45 etc.,.

Q 4: What are the first 15 multiples of 15?
A 4:
The first 15 multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, and 225.

Q 5: What is the sum of the first 15 multiples of 15?
A 5:
In order to find the sum of the first 15 multiples of 15 you need to find the first 15 multiples which are,15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, and 225.
Now add all the 15 multiples of 15 = 15 + 30 + 45 + 60 + 75 + 90 + 105 + 120 + 135 + 150 + 165 + 180 + 195 + 210 + 225 = 1800.
Hence 1800 is the first 15 multiples of 15.

FAQs on Multiples of 15

What are the first 5 multiples of 15?
The first 5 multiples of 15 are 15, 30, 45, 60, and 75.

What are the multiples of 15 lying between 50 and 100?
The multiples of 15 lying between 50 and 100 are 60, 75, 90, and 105.

What are the multiples of 15?
The multiples of 15, when divided by any natural number, leave no residual is known as the number of multiples of 15.

What are the 10 multiples of 15?
The 10 multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150.

What are all the multiples of 15?
Since there are an unlimited number of possible multiples of a number, the number 15 has an infinite number of multiples.

How many multiples of 15 are less than 1000000?
In total, there are 66,666 multiples of 15 that are less than 1000000.

What are the 40th and 50th multiples of 15?
The 40th multiple of 15 is 600.
The 50th multiple of 15 is 750.
Hence, the 40th and 50th multiples of 15 are 600 and 750, respectively.

What are the least common multiples of 15,12, and 9?
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, and 180.
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, and 180.
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180.
Hence, the least common multiple of 15, 12, and 9 is 180.

We hope you have understood everything about multiples of 15.

Written by

Prerit Jain

Share article on

tutor Pic
tutor Pic