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Last updated on March 29th, 2025

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Multiples of 56

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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 56.

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What are the Multiples of 56?

Now, let us learn more about multiples of 56. Multiples of 56 are the numbers you get when you multiply 56 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 56 can be denoted as 56 × 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 56 × 1 will give us 56 as the product.

 

Multiples of 56 will be larger or equal to 56.

Multiples of 56

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List of First 20 Multiples of 56

Multiples of 56 include the products of 56 and an integer. Multiples of 56 are divisible by 56 evenly. The first few multiples of 56 are given below:

TABLE OF 56 (1-10)

56 x 1 = 56

56 x 6 = 336

56 x 2 = 112

56 x 7 = 392

56 x 3 = 168

56 x 8 = 448

56 x 4 = 224

56 x 9 = 504

56 x 5 = 280

56 x 10 = 560

 

TABLE OF 56 (11-20)

56 x 11 = 616

56 x 16 = 896

56 x 12 = 672

56 x 17 = 952

56 x 13 = 728

56 x 18 = 1008

56 x 14 = 784

56 x 19 = 1064

56 x 15 = 840

56 x 20 = 1120

 

Now, we know the first few multiples of 56. They are 0, 56, 112, 168, 224, 280, 336, 392, 448, 504, 560,...
 

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Operations with Multiples of 56

Understanding the multiples of 56 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 56, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.

 
Sum of first 5 Multiples of 56:  


56, 112, 168, 224, and 280 are the first five multiples of 56. When multiplying 56 from 1 to 5 we get these numbers as the products.  


So, the sum of these multiples is:  


56 + 112 + 168 + 224 + 280 = 840  


When we add the first 5 multiples of 56, the answer will be 840.  

 

Subtraction of first 5 Multiples of 56:  


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 56, 112, 168, 224, and 280 are the first five multiples of 56. So, let us calculate it as given below:  


56 - 112 = -56  
-56 - 168 = -224  
-224 - 224 = -448  
-448 - 280 = -728  


Hence, the result of subtracting the first 5 multiples of 56 is -728.

 

Average of first 5 Multiples of 56:  


To calculate the average, we need to identify the sum of the first 5 multiples of 56, 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 56 is 840.  


56 + 112 + 168 + 224 + 280 = 840  


Next, divide the sum by 5:  


840 ÷ 5 = 168

 
168 is the average of the first 5 multiples of 56.  

 

Product of First 5 Multiples of 56:  


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 56 include: 56, 112, 168, 224, and 280. Now, the product of these numbers is:  


56 × 112 × 168 × 224 × 280 = 1,573,721,600,000

 
The product of the first 5 multiples of 56 is 1,573,721,600,000.  

 

Division of First 5 Multiples of 56:  


While we perform division, we get to know how many times 56 can fit into each of the given multiples. 56, 112, 168, 224, and 280 are the first 5 multiples of 56.

 
56 ÷ 56 = 1  
112 ÷ 56 = 2  
168 ÷ 56 = 3  
224 ÷ 56 = 4  
280 ÷ 56 = 5  


The results of dividing the first 5 multiples of 56 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 56

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Multiples of 56 Examples

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Problem 1

Liam is planning a long road trip and stops at a rest area every 56 miles. If he travels for a total of 224 miles, how many rest areas does he stop at during his journey?

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Explanation

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Problem 2

A factory produces widgets in batches, with each batch containing 56 widgets. If the factory operates for 5 days and produces 3 batches each day, how many widgets are produced in total?

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Explanation

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Problem 3

Emma is organizing a charity run, and each participant needs to run laps of 56 meters. If a participant completes 8 laps, how many meters do they run in total?

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Explanation

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Problem 4

A library receives new books in shipments, with each shipment containing 56 books. If the library receives 6 shipments over the course of a month, how many books does it receive in total?

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Explanation

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Problem 5

A concert venue is setting up chairs in rows, with each row containing 56 chairs. If there are 9 rows, how many chairs are there in total?

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Explanation

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FAQs on Multiples of 56

1.How do you find the multiples of 56?

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2.What is the LCM of 7 and 56?

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3.What are the real-life applications of Multiples of 56?

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4.Are multiples of 56 finite or infinite?

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5.Is there any odd multiples of 56?

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Important Glossaries for Multiples of 56

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 56 include 56, 112, 168, 224, etc.  

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 56 are the numbers that consist of the number pattern of 56.  

 

  • 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 56 are even numbers.  

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 7, 8, 14, 28, and 56 are the divisors of 56.  

 

  • LCM: The Least Common Multiple is the smallest number that is a multiple of two or more numbers. For example, the LCM of 7 and 56 is 56.
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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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