188 LearnersLast updated on May 26th, 2025
Multiples of 24
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 24.
What are the Multiples of 24?
Now, let us learn more about multiples of 24. Multiples of 24 are the numbers you get when you multiply 24 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 24 can be denoted as 24 × 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 24 × 1 will give us 24 as the product. Multiples of 24 will be larger or equal to 24.
List of First 20 Multiples of 24
Multiples of 24 include the products of 24 and an integer. Multiples of 24 are divisible by 24 evenly. The first few multiples of 24 are given below:
| TABLE OF 24 (1-10) | |
|---|---|
|
24 x 1 = 24 |
24 x 6 = 144 |
|
24 x 2 = 48 |
24 x 7 = 168 |
|
24 x 3 = 72 |
24 x 8 = 192 |
|
24 x 4 = 96 |
24 x 9 = 216 |
|
24 x 5 = 120 |
24 x 10 = 240 |
| TABLE OF 24 (11-20) | |
|---|---|
|
24 x 11 = 264 |
24 x 16 = 384 |
|
24 x 12 = 288 |
24 x 17 = 408 |
|
24 x 13 = 312 |
24 x 18 = 432 |
|
24 x 14 = 336 |
24 x 19 = 456 |
|
24 x 15 = 360 |
24 x 20 = 480 |
Now, we know the first few multiples of 24. They are 0, 24, 48, 72, 96, 120, 144, 168, 192, 216, 240,...
Operations with Multiples of 24
Understanding the multiples of 24 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 24, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 24:
24, 48, 72, 96, and 120 are the first five multiples of 24. When multiplying 24 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
24 + 48 + 72 + 96 + 120 = 360
When we add the first 5 multiples of 24, the answer will be 360.
Subtraction of first 5 Multiples of 24:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 24, 48, 72, 96, and 120 are the first five multiples of 24. So, let us calculate it as given below:
24 - 48 = -24
-24 - 72 = -96
-96 - 96 = -192
-192 - 120 = -312
Hence, the result of subtracting the first 5 multiples of 24 is -312.
Average of first 5 Multiples of 24:
To calculate the average, we need to identify the sum of the first 5 multiples of 24, 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 24 is 360.
24 + 48 + 72 + 96 + 120 = 360
Next, divide the sum by 5:
360 ÷ 5 = 72
72 is the average of the first 5 multiples of 24.
Product of First 5 Multiples of 24:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 24 include: 24, 48, 72, 96, and 120. Now, the product of these numbers is:
24 × 48 × 72 × 96 × 120 = 19,916,832,000
The product of the first 5 multiples of 24 is 19,916,832,000.
Division of First 5 Multiples of 24:
While we perform division, we get to know how many times 24 can fit into each of the given multiples. 24, 48, 72, 96, and 120 are the first 5 multiples of 24.
24 ÷ 24 = 1
48 ÷ 24 = 2
72 ÷ 24 = 3
96 ÷ 24 = 4
120 ÷ 24 = 5
The results of dividing the first 5 multiples of 24 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 24
While working with multiples of 24, 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 24. 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 24 refer to the products we get while multiplying 24 with other numbers. For example, multiples of 24 include 0, 24, 48, 72, 96, 120, 144, 168, 192, 216, 240….
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. When 24 is divided by these numbers, the remainder will be zero. These are the factors of 24 meaning that these numbers can divide 24 without any remainder.
Factors of 24:
24 ÷ 1 = 24
24 ÷ 2 = 12
24 ÷ 3 = 8
24 ÷ 4 = 6
24 ÷ 6 = 4
24 ÷ 8 = 3
24 ÷ 12 = 2
24 ÷ 24 = 1
Multiples of 24 Examples
Problem 1
In a local community center, they organize events every month. Each event requires 24 chairs. If they continue organizing events for 6 months, how many chairs will they need in total?
144 chairs
Explanation
Each month, 24 chairs are needed. To find the total number of chairs required after 6 months, multiply 24 by 6.
Chairs needed each month = 24
Number of months = 6
24 × 6 = 144
They will need 144 chairs in total after 6 months.
Problem 2
Maya, Arjun, and Leena are distributing school supplies to children. They distribute them in packets of the first three multiples of 24. How many supplies does each person distribute based on this series?
The first three multiples of 24 are 24, 48, and 72. Maya distributes 24 supplies. Arjun and Leena distribute 48 and 72 supplies respectively.
Explanation
Identify the first three multiples of 24:
24 × 1 = 24
24 × 2 = 48
24 × 3 = 72
Thus, Maya distributes 24 supplies, Arjun distributes 48, and Leena distributes 72 supplies.
Problem 3
At a music festival, there are 24 tents. Each tent can accommodate 24 people. How many people can stay in total?
576 people
Explanation
To find the total accommodation capacity, multiply the number of tents by the capacity of each tent.
Number of tents = 24
Capacity of each tent = 24
24 × 24 = 576
Therefore, a total of 576 people can stay at the festival.
Problem 4
Lily is setting up tables for a banquet. She arranges 6 rows of tables, with each row having 24 tables. How many tables are there in total?
144 tables
Explanation
To find the total number of tables, multiply the number of rows by the number of tables in each row.
Number of rows = 6
Number of tables in each row = 24
6 × 24 = 144
So, there are 144 tables in total.
Problem 5
In a bookstore, the first section has 24 books, the second section has 48 books, and the third section has 72 books. How many books are there in all three sections?
144 books
Explanation
The first section has 24 books, the second has 48, and the third has 72. Add them up to find the total:
24 + 48 + 72 = 144
Therefore, there are a total of 144 books in all three sections.
FAQs on Multiples of 24
1.How do you find the multiples of 24?
2.What is the LCM of 18 and 24?
3.What are the real-life applications of Multiples of 24?
4.Are multiples of 24 finite or infinite?
5.Is there any odd multiples of 24?
Important Glossaries for Multiples of 24
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 24 include 24, 48, 72, 96, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 24 are the numbers that consist of the number pattern of 24.
- Even number: An even number refers to any number, that can be divisible by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 24 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, 8, 12, and 24 are the divisors of 24.
- Least Common Multiple (LCM): The smallest multiple that two or more numbers share. For example, the LCM of 18 and 24 is 72.
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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
