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Last updated on March 29th, 2025

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Multiples of 18

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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 18.

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What are the Multiples of 18?

Now, let us learn more about multiples of 18. Multiples of 18 are the numbers you get when you multiply 18 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 18 can be denoted as 18 × 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 18 × 1 will give us 18 as the product. Multiples of 18 will be larger or equal to 18.

Multiples of 18
 

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List of First 20 Multiples of 18

Multiples of 18 include the products of 18 and an integer. Multiples of 18 are divisible by 18 evenly. The first few multiples of 18 are given below:

 

TABLE OF 18 (1-10)

18 × 1 = 18

18 × 6 = 108

18 × 2 = 36

18 × 7 = 126

18 × 3 = 54

18 × 8 = 144

18 × 4 = 72

18 × 9 = 162

18 × 5 = 90

18 × 10 = 180

 

TABLE OF 18 (11-20)

18 × 11 = 198

18 × 16 = 288

18 × 12 = 216

18 × 17 = 306

18 × 13 = 234

18 × 18 = 324

18 × 14 = 252

18 × 19 = 342

18 × 15 = 270

18 × 20 = 360

 

Now, we know the first few multiples of 18. They are 0, 18, 36, 54, 72, 90, 108, 126, 144, 162, 180,...
 

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Operations with Multiples of 18

Understanding the multiples of 18 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 18, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 18:

 

18, 36, 54, 72, and 90 are the first five multiples of 18. When multiplying 18 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:


18 + 36 + 54 + 72 + 90 = 270

 

When we add the first 5 multiples of 18, the answer will be 270.

 

Subtraction of first 5 Multiples of 18:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 18, 36, 54, 72, and 90 are the first five multiples of 18. So, let us calculate it as given below:


18 - 36 = -18  
-18 - 54 = -72  
-72 - 72 = -144  
-144 - 90 = -234  

 

Hence, the result of subtracting the first 5 multiples of 18 is -234.

 

Average of first 5 Multiples of 18:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 18, 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 18 is 270.


18 + 36 + 54 + 72 + 90 = 270  


Next, divide the sum by 5:


270 ÷ 5 = 54

 

54 is the average of the first 5 multiples of 18.

 

Product of First 5 Multiples of 18:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 18 include: 18, 36, 54, 72, and 90. Now, the product of these numbers is:


18 × 36 × 54 × 72 × 90 = 2,550,585,600

 

The product of the first 5 multiples of 18 is 2,550,585,600.

 

Division of First 5 Multiples of 18:

 

While we perform division, we get to know how many times 18 can fit into each of the given multiples. 18, 36, 54, 72, and 90 are the first 5 multiples of 18.


18 ÷ 18 = 1  
36 ÷ 18 = 2  
54 ÷ 18 = 3  
72 ÷ 18 = 4  
90 ÷ 18 = 5  

 

The results of dividing the first 5 multiples of 18 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 18

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Multiples of 18 Examples

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Problem 1

In a community art project, each participant is tasked with creating a mural. Each mural consists of 18 tiles, and the project will run for 6 weeks with one mural completed each week. How many tiles will be used in total by the end of the project?

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Explanation

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Problem 2

Three friends, Alex, Ben, and Chloe, are stacking chairs for an event. They stack chairs in multiples of 18. If Alex stacks the first multiple, Ben stacks the second, and Chloe stacks the third, how many chairs does each person stack?

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Explanation

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Problem 3

In a large warehouse, there are 18 storage units. Each storage unit holds 18 boxes. How many boxes are there in total?

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Explanation

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Problem 4

Sophia is organizing a charity run. She plans to distribute t-shirts in groups of 18. If she has 5 such groups ready for the event, how many t-shirts does she have in total?

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Explanation

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Problem 5

Jacob is decorating a cake with layers of frosting. The first layer uses 18 ounces of frosting, the second uses 36 ounces, and the third uses 54 ounces. How much frosting is used in total for all three layers?

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Explanation

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FAQs on Multiples of 18

1.How do you find the multiples of 18?

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2.What is the LCM of 9 and 18?

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3.What are the real-life applications of Multiples of 18?

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4.Are multiples of 18 finite or infinite?

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5.Is there any odd multiple of 18?

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Important Glossaries for Multiples of 18

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 18 include 18, 36, 54, 72, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 18 are the numbers that consist of the number pattern of 18.

 

  • 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 18 are even numbers.

 

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

 

  • LCM (Least Common Multiple): The smallest common multiple of two or more numbers. It is used to find common multiples in sets of numbers.
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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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