184 LearnersLast updated on May 26th, 2025
Multiples of 108
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.
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.
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 |
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.
Common Mistakes and How to Avoid Them in Multiples of 108
While working with multiples of 108, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 108. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number. Multiples of 108 refer to the products we get while multiplying 108 with other numbers. For example, multiples of 108 include 0, 108, 216, 324, 432, 540, 648, 756, 864, 972, 1,080, etc.
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108. When 108 is divided by any of these numbers, the remainder will be zero.
Factors of 108:
108 ÷ 1 = 108
108 ÷ 2 = 54
108 ÷ 3 = 36
108 ÷ 4 = 27
Multiples of 108 Examples
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?
540 lights
Explanation
Each stage uses 108 lights. To find the total number of lights needed for 5 stages, we multiply the number of lights per stage by the number of stages.
Lights per stage = 108
Number of new stages = 5
108 × 5 = 540
Therefore, they will need 540 lights for the additional stages.
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?
324 colored pencils
Explanation
Each artist takes a box of 108 colored pencils. To find the total number of colored pencils taken by 3 artists, multiply the number of pencils per box by the number of artists.
Pencils per box = 108
Number of artists = 3
108 × 3 = 324
Hence, the artists take a total of 324 colored pencils.
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?
648 seats
Explanation
Each car contains 108 seats. To determine the total number of seats on the train, multiply the number of seats per car by the number of cars.
Seats per car = 108
Number of cars = 6
108 × 6 = 648
Therefore, the train has a total of 648 seats.
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?
864 meals
Explanation
Each volunteer packs 108 meals in an hour. If 4 volunteers work for 2 hours, we first find the number of meals packed by all volunteers in one hour and then multiply by the number of hours worked.
Meals per volunteer per hour = 108
Number of volunteers = 4
Number of hours = 2
Total meals packed in one hour by all volunteers = 108 × 4 = 432
Total meals packed in two hours = 432 × 2 = 864
Thus, a total of 864 meals are packed.
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?
756 books
Explanation
Each section contains 108 books. To find the total number of books across all sections, multiply the number of books per section by the number of sections.
Books per section = 108
Number of sections = 7
108 × 7 = 756
Therefore, there are 756 books in total across all sections.
FAQs on Multiples of 108
1.How do you find the multiples of 108?
2.What is the LCM of 54 and 108?
3.What are the real-life applications of Multiples of 108?
4.Are multiples of 108 finite or infinite?
5.Is there any odd multiple of 108?
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.
Fun Fact
: She has songs for each table which helps her to remember the tables
