111 LearnersLast updated on May 26th, 2025
Multiples of 2400
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 2400.
What are the Multiples of 2400?
Now, let us learn more about multiples of 2400. Multiples of 2400 are the numbers you get when you multiply 2400 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 2400 can be denoted as 2400 × 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 2400 × 1 will give us 2400 as the product. Multiples of 2400 will be larger or equal to 2400.
List of First 20 Multiples of 2400
Multiples of 2400 include the products of 2400 and an integer. Multiples of 2400 are divisible by 2400 evenly. The first few multiples of 2400 are given below:
| TABLE OF 2400 (1-10) | |
|---|---|
|
2400 x 1 = 2400 |
2400 x 6 = 14400 |
|
2400 x 2 = 4800 |
2400 x 7 = 16800 |
|
2400 x 3 = 7200 |
2400 x 8 = 19200 |
|
2400 x 4 = 9600 |
2400 x 9 = 21600 |
|
2400 x 5 = 12000 |
2400 x 10 = 24000 |
| TABLE OF 2400 (11-20) | |
|---|---|
|
2400 x 11 = 26400 |
2400 x 16 = 38400 |
|
2400 x 12 = 28800 |
2400 x 17 = 40800 |
|
2400 x 13 = 31200 |
2400 x 18 = 43200 |
|
2400 x 14 = 33600 |
2400 x 19 = 45600 |
|
2400 x 15 = 36000 |
2400 x 20 = 48000 |
Now, we know the first few multiples of 2400. They are 0, 2400, 4800, 7200, 9600, 12000, 14400, 16800, 19200, 21600, 24000,...
Operations with Multiples of 2400
Understanding the multiples of 2400 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 2400, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 2400
2400, 4800, 7200, 9600, and 12000 are the first five multiples of 2400. When multiplying 2400 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
2400 + 4800 + 7200 + 9600 + 12000 = 36000
When we add the first 5 multiples of 2400, the answer will be 36000.
Subtraction of First 5 Multiples of 2400
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 2400, 4800, 7200, 9600, and 12000 are the first five multiples of 2400. So, let us calculate it as given below:
2400 - 4800 = -2400
-2400 - 7200 = -9600
-9600 - 9600 = -19200
-19200 - 12000 = -31200
Hence, the result of subtracting the first 5 multiples of 2400 is -31200.
Average of First 5 Multiples of 2400
To calculate the average, we need to identify the sum of the first 5 multiples of 2400 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 2400 is 36000.
2400 + 4800 + 7200 + 9600 + 12000 = 36000
Next, divide the sum by 5:
36000 ÷ 5 = 7200
7200 is the average of the first 5 multiples of 2400.
Product of First 5 Multiples of 2400
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 2400 include: 2400, 4800, 7200, 9600, and 12000. Now, the product of these numbers is:
2400 × 4800 × 7200 × 9600 × 12000 = 1,990,656,000,000,000,000
The product of the first 5 multiples of 2400 is 1,990,656,000,000,000,000.
Division of First 5 Multiples of 2400
While we perform division, we get to know how many times 2400 can fit into each of the given multiples. 2400, 4800, 7200, 9600, and 12000 are the first 5 multiples of 2400.
2400 ÷ 2400 = 1
4800 ÷ 2400 = 2
7200 ÷ 2400 = 3
9600 ÷ 2400 = 4
12000 ÷ 2400 = 5
The results of dividing the first 5 multiples of 2400 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 2400
While working with multiples of 2400, we may 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 2400. 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 2400 refer to the products we get while multiplying 2400 with other numbers. For example, multiples of 2400 include 0, 2400, 4800, 7200, 9600, 12000, 14400, 16800, 19200, 21600, 24000, etc.
The factors of 2400 are numbers that divide 2400 without any remainder.
Multiples of 2400 Examples
Problem 1
A company organizes its annual volunteer day and aims to supply care packages to a local shelter. Each care package contains 2400 items. If the company plans to distribute care packages every quarter of the year, how many items will they distribute by the end of the year?
9600 items
Explanation
Each quarter, they distribute one care package containing 2400 items. To find the total number of items distributed over four quarters, multiply 2400 by 4.
Number of items per package = 2400
Number of quarters = 4
(2400 times 4 = 9600)
Therefore, they will distribute a total of 9600 items by the end of the year.
Problem 2
In a large conference, there are 2400 chairs arranged in the main hall. The organizers decide to split the chairs into three smaller halls, each containing a number of chairs that is a multiple of 2400. How many chairs are there in each hall if they are distributed evenly?
800 chairs
Explanation
The total number of chairs is 2400, and they are split evenly into three halls. Divide 2400 by 3 to find the number of chairs per hall.
Total chairs = 2400
Number of halls = 3
(2400 div 3 = 800)
Therefore, each hall contains 800 chairs.
Problem 3
A printing company produces 2400 calendars per batch. If they complete 5 batches of calendars in a month, how many calendars do they produce in total that month?
12000 calendars
Explanation
Each batch contains 2400 calendars. Multiply the number of batches by the number of calendars per batch to find the total production for the month.
Calendars per batch = 2400
Number of batches = 5
(2400 times 5 = 12000)
Therefore, the company produces 12000 calendars in total that month.
Problem 4
A bakery sells boxes of cookies, with each box containing 2400 cookies. Over the course of a week, they sell 3 boxes. How many cookies do they sell in total during that week?
7200 cookies
Explanation
Each box contains 2400 cookies. Multiply the number of boxes sold by the number of cookies per box to get the total number of cookies sold.
Cookies per box = 2400
Number of boxes sold = 3
(2400 times 3 = 7200)
Therefore, the bakery sells 7200 cookies in total during the week.
Problem 5
A fabric store sells rolls of fabric, with each roll containing 2400 yards of fabric. If they sell 2 rolls each day for a week, how many yards of fabric do they sell in total by the end of the week?
33600 yards
Explanation
Each roll contains 2400 yards of fabric. Multiply the number of rolls sold per day by the number of days in a week and by the yards per roll to find the total.
Yards per roll = 2400
Rolls sold per day = 2
Days in a week = 7
(2400 times 2 times 7 = 33600)
Therefore, the fabric store sells 33600 yards of fabric by the end of the week.
FAQs on Multiples of 2400
1.How do you find the multiples of 2400?
2.What is the LCM of 2400 and 3600?
3.What are the real-life applications of Multiples of 2400?
4.Are multiples of 2400 finite or infinite?
5.Is there any odd multiple of 2400?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 2400?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 2400 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 2400?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 2400 among early learners in Vietnam?
Important Glossaries for Multiples of 2400
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 2400 include 2400, 4800, 7200, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 2400 are the numbers that consist of the number pattern of 2400.
- 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 2400 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 2400 are divisors of 2400.
- LCM (Least Common Multiple): The smallest common multiple of two or more numbers. For example, the LCM of 2400 and 3600 is 7200.
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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
