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Last updated on February 27th, 2025

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Multiples of 108

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Foundation
Intermediate
Advance Topics

In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 108.

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What are the Multiples of 108?

Now, let us learn more about multiples of 108. Multiples of 108 are the numbers you get when you multiply 108 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 108 can be denoted as 108 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:

 

Multiple of a number = Number × Any whole number

 

For example, multiplying 108 × 1 will give us 108 as the product. Multiples of 108 will be larger or equal to 108.

 

multiples of 108
 

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List of First 20 Multiples of 108

Multiples of 108 include the products of 108 and an integer. Multiples of 108 are divisible by 108 evenly. The first few multiples of 108 are given below:


Now, we know the first few multiples of 108. They are 0, 108, 216, 324, 432, 540, 648, 756, 864, 972, 1,080,...
 

TABLE OF 108 (1-10)

108 x 1 = 108

108 x 6 = 648

108 x 2 = 216

108 x 7 = 756

108 x 3 = 324

108 x 8 = 864

108 x 4 = 432

108 x 9 = 972

108 x 5 = 540

108 x 10 = 1080

 

TABLE OF 108 (11-20)

108 x 11 = 1188

108 x 16 = 1728

108 x 12 = 1296

108 x 17 = 1836

108 x 13 = 1404

108 x 18 = 1944

108 x 14 = 1512

108 x 19 = 2052

108 x 15 = 1620

108 x 20 = 2160

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Operations with Multiples of 108

Understanding the multiples of 108 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 108, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 108:

 

108, 216, 324, 432, and 540 are the first five multiples of 108. When multiplying 108 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:  


108 + 216 + 324 + 432 + 540 = 1,620  


The sum of the first 5 multiples of 108 is 1,620.  

 

Subtraction of First 5 Multiples of 108:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 108, 216, 324, 432, and 540 are the first five multiples of 108. So, let us calculate it as given below:  


108 - 216 = -108  
-108 - 324 = -432  
-432 - 432 = -864  
-864 - 540 = -1,404  


Hence, the result of subtracting the first 5 multiples of 108 is -1,404.  

 

Average of First 5 Multiples of 108:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 108, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 108 is 1,620.  


108 + 216 + 324 + 432 + 540 = 1,620  


Next, divide the sum by 5:  


1,620 ÷ 5 = 324

 
324 is the average of the first 5 multiples of 108.  

 

Product of First 5 Multiples of 108:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 108 include: 108, 216, 324, 432, and 540. Now, the product of these numbers is:  


108 × 216 × 324 × 432 × 540 = 4,381,054,976,320  


The product of the first 5 multiples of 108 is 4,381,054,976,320.

 

Division of First 5 Multiples of 108:

 

While we perform division, we get to know how many times 108 can fit into each of the given multiples. 108, 216, 324, 432, and 540 are the first 5 multiples of 108.  


108 ÷ 108 = 1  
216 ÷ 108 = 2  
324 ÷ 108 = 3  
432 ÷ 108 = 4  
540 ÷ 108 = 5  


The results of dividing the first 5 multiples of 108 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 108

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Multiples of 108 Examples

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Problem 1

In a music festival, there are stages set up for different bands. Each stage has 108 lights. If the organizers decide to set up 5 more stages, how many lights will they need in total for these new stages?

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Explanation

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Problem 2

In the warehouse, there are boxes of art supplies. Each box contains a set of 108 colored pencils. If 3 artists each take an entire box of colored pencils, how many colored pencils do they take in total?

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Explanation

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Problem 3

A train has 108 seats in each car. If there are 6 cars on the train, how many seats are there in total?

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Explanation

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Problem 4

During a charity event, volunteers are packaging meals. Each volunteer packs 108 meals in an hour. If there are 4 volunteers working for 2 hours, how many meals are packed in total?

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Explanation

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Problem 5

In a library, each section has 108 different books. If there are 7 sections dedicated to different genres, how many books are there in total across all sections?

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Explanation

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FAQs on Multiples of 108

1.How do you find the multiples of 108?

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2.What is the LCM of 54 and 108?

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3.What are the real-life applications of Multiples of 108?

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4.Are multiples of 108 finite or infinite?

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5.Is there any odd multiple of 108?

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Important Glossaries for Multiples of 108

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 108 include 108, 216, 324, 432, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 108 are the numbers that consist of the number pattern of 108.

 

  • Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 108 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108 are the divisors of 108.

 

  • Least Common Multiple (LCM): The smallest multiple that is exactly divisible by two or more numbers. For example, 108 is the LCM of 54 and 108.
     
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Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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