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Last updated on March 29th, 2025

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Multiples of 2400

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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 2400.

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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.

multiples of 2400
 

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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,...

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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.

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Common Mistakes and How to Avoid Them in Multiples of 2400

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Multiples of 2400 Examples

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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FAQs on Multiples of 2400

1.How do you find the multiples of 2400?

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2.What is the LCM of 2400 and 3600?

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3.What are the real-life applications of Multiples of 2400?

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4.Are multiples of 2400 finite or infinite?

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5.Is there any odd multiple of 2400?

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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.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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