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Last updated on February 11th, 2025

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Multiples of 264

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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 264.

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What are the Multiples of 264?

Now, let us learn more about multiples of 264. Multiples of 264 are the numbers you get when you multiply 264 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 264 can be denoted as 264 × 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 264 × 1 will give us 264 as the product. Multiples of 264 will be larger or equal to 264.multiples of 264
 

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List of First 20 Multiples of 264

Multiples of 264 include the products of 264 and an integer. Multiples of 264 are divisible by 264 evenly. The first few multiples of 264 are given below:

  

TABLE OF 264 (1-10)

264 x 1 = 264

264 x 6 = 1584

264 x 2 = 528

264 x 7 = 1848

264 x 3 = 792

264 x 8 = 2112

264 x 4 = 1056

264 x 9 = 2376

264 x 5 = 1320

264 x 10 = 2640

 

TABLE OF 264 (11-20)

264 x 11 = 2904

264 x 16 = 4224

264 x 12 = 3168

264 x 17 = 4488

264 x 13 = 3432

264 x 18 = 4752

264 x 14 = 3696

264 x 19 = 5016

264 x 15 = 3960

264 x 20 = 5280

 

Now, we know the first few multiples of 264. They are 0, 264, 528, 792, 1056, 1320, 1584, 1848, 2112, 2376, 2640,...
 

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Operations with Multiples of 264

Understanding the multiples of 264 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 264, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 264:

 

264, 528, 792, 1056, and 1320 are the first five multiples of 264. When multiplying 264 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:  


264 + 528 + 792 + 1056 + 1320 = 3960

 
When we add the first 5 multiples of 264, the answer will be 3960.

 

Subtraction of First 5 Multiples of 264:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 264, 528, 792, 1056, and 1320 are the first five multiples of 264. So, let us calculate it as given below:  


  264 - 528 = -264  
  -264 - 792 = -1056  
  -1056 - 1056 = -2112  
  -2112 - 1320 = -3432  


Hence, the result of subtracting the first 5 multiples of 264 is -3432.

 

Average of First 5 Multiples of 264:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 264, 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 264 is 3960.  


Next, divide the sum by 5:  


 3960 ÷ 5 = 792  


792 is the average of the first 5 multiples of 264.

 

Product of First 5 Multiples of 264:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 264 include: 264, 528, 792, 1056, and 1320. Now, the product of these numbers is:  


264 × 528 × 792 × 1056 × 1320 = 203,491,527,680  


The product of the first 5 multiples of 264 is 203,491,527,680.

 

Division of First 5 Multiples of 264:

 

While we perform division, we get to know how many times 264 can fit into each of the given multiples. 264, 528, 792, 1056, and 1320 are the first 5 multiples of 264.  


264 ÷ 264 = 1  
528 ÷ 264 = 2  
792 ÷ 264 = 3  
1056 ÷ 264 = 4  
1320 ÷ 264 = 5  


The results of dividing the first 5 multiples of 264 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 264

While working with multiples of 264, 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

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Confusing Multiples with Factors

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Sometimes, students get confused between the multiples and factors of 264. 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 264 refer to the products we get while multiplying 264 with other numbers. For example, multiples of 264 include 0, 264, 528, 792, 1056, 1320, 1584, 1848, 2112, 2376, 2640, etc.  


The factors of 264 are numbers like 1, 2, 3, 4, 6, 8, 11, etc., which can divide 264 without any remainder.
 

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Multiples of 264 Examples

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Problem 1

In a large art gallery, each exhibition hall can hold exactly 264 paintings. A new collection arrives every month, and they fill up another hall with 264 paintings each time. How many paintings will the gallery have after 5 months?

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1,320 paintings 

Explanation

Each month, a new hall is filled with 264 paintings. To find the total number of paintings after 5 months, multiply the number of paintings per hall by the number of months.

 

Paintings per hall = 264  


Number of months = 5  

 

264 times 5 = 1,320

 

Therefore, the gallery will have 1,320 paintings after 5 months.
 

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Problem 2

A factory produces boxes of chocolates. Each box contains 264 chocolates. During a promotional event, the factory gives away the first three multiples of 264 in chocolates. How many chocolates does the factory give away?

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1,584 chocolates

Explanation

Identify the first three multiples of 264. They are:

 

 264 times 1 = 264
264 times 2 = 528
264 times 3 = 792

 

Total chocolates given away = \(264 + 528 + 792 = 1,584\)
 

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Problem 3

A publishing company prints books in batches of 264. There are 8 printing machines, and each machine completes one batch every day. How many books does the company print in a single day?

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2,112 books

Explanation

Each machine prints 264 books per day. With 8 machines, we calculate the total number of books printed in a day:

 

Number of machines = 8  


Books printed per machine per day = 264  

 

8 times 264 = 2,112

 

Therefore, the company prints 2,112 books in a single day.
 

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Problem 4

A concert venue has a seating capacity of 264 per section. If the venue has 6 sections open for an event, what is the total seating capacity available for the event?

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1,584 seats

Explanation

To find the total seating capacity, multiply the number of seats per section by the number of sections.

 

Seats per section = 264  


Number of sections = 6  

 

264 times 6 = 1,584

 

Thus, the total seating capacity available for the event is 1,584 seats.
 

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Problem 5

During a large-scale volunteer event, each volunteer team is tasked with planting 264 trees. If there are 7 teams participating, how many trees will be planted in total?

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1,848 trees

Explanation

To find the total number of trees planted, multiply the number of trees each team plants by the number of teams.

 

Trees per team = 264  


Number of teams = 7  

 

  264 times 7 = 1,848

 

Therefore, a total of 1,848 trees will be planted.
 

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FAQs on Multiples of 264

1.How do you find the multiples of 264?

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2.What is the LCM of 7 and 264?

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3.What are the real-life applications of Multiples of 264?

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4.Are multiples of 264 finite or infinite?

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5.Is there any odd multiples of 264?

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Important Glossaries for Multiples of 264

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 264 include 264, 528, 792, 1056, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 264 are the numbers that consist of the number pattern of 264.
     
  • 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 264 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. Numbers like 1, 2, 3, 4, 6, and 8 are divisors of 264.
     
  • LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each number in a set of numbers. For example, the LCM of 7 and 264 is 1848.
     
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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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