227 LearnersLast updated on May 26th, 2025
Multiples of 18
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.
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.
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,...
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.
Common Mistakes and How to Avoid Them in Multiples of 18
While working with multiples of 18, 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 18. 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 18 refer to the products we get while multiplying 18 with other numbers. For example, multiples of 18 include 0, 18, 36, 54, 72, 90, 108, 126, 144, 162, 180,….
The factors of 18 are 1, 2, 3, 6, 9, and 18. When 18 is divided by these numbers, the remainder will be zero. These are the factors of 18 meaning that these numbers can divide 18 without any remainder.
Factors of 18:
18 ÷ 1 = 18
18 ÷ 2 = 9
18 ÷ 3 = 6
18 ÷ 6 = 3
18 ÷ 9 = 2
18 ÷ 18 = 1
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 18 include 18, 36, 54, 72, 90, 108, …..180, 198,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 18, the result will still be a multiple of 18. For example, children may write,
18 + 36 = 55, (which is wrong and the correct answer is 54)
This is incorrect because 55 is not a multiple of 18. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 18.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 18, and any other number, is zero, it has a valid value. Remember this:
18 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 18 + 18 + 18 + 18 + 18. Instead of adding too many values, use multiplication. Calculate 18 × n for the nth multiple.
For example, instead of 18 + 18 + 18 + 18 + 18, calculate it as given below:
18 × 5 = 90
Multiples of 18 Examples
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?
108 tiles
Explanation
Each week, a mural of 18 tiles is completed. To find the total number of tiles used after 6 weeks, multiply the number of tiles per mural by the number of weeks.
Tiles per mural = 18
Number of weeks = 6
18 × 6 = 108
Thus, 108 tiles will be used in total by the end of the project.
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?
Alex stacks 18 chairs, Ben stacks 36 chairs, Chloe stacks 54 chairs.
Explanation
Identify the first three multiples of 18:
18 × 1 = 18
18 × 2 = 36
18 × 3 = 54
Therefore, Alex stacks 18 chairs, Ben stacks 36 chairs, and Chloe stacks 54 chairs.
Problem 3
In a large warehouse, there are 18 storage units. Each storage unit holds 18 boxes. How many boxes are there in total?
324 boxes
Explanation
To find the total number of boxes, multiply the number of storage units by the number of boxes in each unit.
Number of storage units = 18
Number of boxes in each unit = 18
18 × 18 = 324
Therefore, there are 324 boxes in total in the warehouse.
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?
90 t-shirts
Explanation
To find the total number of t-shirts, multiply the number of groups by the number of t-shirts in each group.
Number of groups = 5
Number of t-shirts per group = 18
5 × 18 = 90
So, there are 90 t-shirts in total for the event.
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?
108 ounces
Explanation
The frosting used for each layer is added together to find the total amount used.
First layer: 18 ounces
Second layer: 36 ounces
Third layer: 54 ounces
18 + 36 + 54 = 108
Thus, a total of 108 ounces of frosting is used for all three layers.
FAQs on Multiples of 18
1.How do you find the multiples of 18?
2.What is the LCM of 9 and 18?
3.What are the real-life applications of Multiples of 18?
4.Are multiples of 18 finite or infinite?
5.Is there any odd multiple of 18?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 18?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 18 challenges for kids in United States?
8.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 18?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 18 among early learners in United States?
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 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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