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Last updated on February 27th, 2025

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Multiples of 112

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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 112.

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What are the Multiples of 112?

Now, let us learn more about multiples of 112. Multiples of 112 are the numbers you get when you multiply 112 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 112 can be denoted as 112 × 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 112 × 1 will give us 112 as the product. Multiples of 112 will be larger or equal to 112.

multiples of 112
 

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List of First 20 Multiples of 112

Multiples of 112 include the products of 112 and an integer. Multiples of 112 are divisible by 112 evenly. The first few multiples of 112 are given below:


Now, we know the first few multiples of 112. They are 0, 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120,...
 

TABLE OF 112 (1-10)

112 x 1 = 112

112 x 6 = 672

112 x 2 = 224

112 x 7 = 784

112 x 3 = 336

112 x 8 = 896

112 x 4 = 448

112 x 9 = 1008

112 x 5 = 560

112 x 10 = 1120

 

TABLE OF 112 (11-20)

112 x 11 = 1232

112 x 16 = 1792

112 x 12 = 1344

112 x 17 = 1904

112 x 13 = 1456

112 x 18 = 2016

112 x 14 = 1568

112 x 19 = 2128

112 x 15 = 1680

112 x 20 = 2240

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Operations with Multiples of 112

Understanding the multiples of 112 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 112, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division. 

 

Sum of first 5 Multiples of 112:

 

112, 224, 336, 448, and 560 are the first five multiples of 112. When multiplying 112 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:


112 + 224 + 336 + 448 + 560 = 1680  


When we add the first 5 multiples of 112, the answer will be 1680.

 

Subtraction of first 5 Multiples of 112:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 112, 224, 336, 448, and 560 are the first five multiples of 112. So, let us calculate it as given below:


112 - 224 = -112  
-112 - 336 = -448  
-448 - 448 = -896  
-896 - 560 = -1456  


Hence, the result of subtracting the first 5 multiples of 112 is -1456.

 

Average of first 5 Multiples of 112:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 112 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 112 is 1680.


112 + 224 + 336 + 448 + 560 = 1680  


Next, divide the sum by 5:


1680 ÷ 5 = 336  


336 is the average of the first 5 multiples of 112.

 

Product of First 5 Multiples of 112:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 112 include: 112, 224, 336, 448, and 560. Now, the product of these numbers is:


112 × 224 × 336 × 448 × 560 = 19,958,425,600  


The product of the first 5 multiples of 112 is 19,958,425,600.

 

Division of First 5 Multiples of 112:

 

While we perform division, we get to know how many times 112 can fit into each of the given multiples. 112, 224, 336, 448, and 560 are the first 5 multiples of 112.


112 ÷ 112 = 1  
224 ÷ 112 = 2  
336 ÷ 112 = 3  
448 ÷ 112 = 4  
560 ÷ 112 = 5  


The results of dividing the first 5 multiples of 112 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 112

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Multiples of 112 Examples

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Problem 1

In a textile factory, large rolls of fabric are produced daily. Each roll contains 112 meters of fabric. If the factory produces rolls continuously for a week (7 days), how many meters of fabric will be produced in total?

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Explanation

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Problem 2

A concert hall arranges seating in blocks. Each block contains 112 seats. If three separate concerts are held, with each using exactly three blocks, how many seats are arranged for all concerts in total?

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Explanation

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Problem 3

In a library, 112 new books are added each month. After 6 months, how many new books have been added to the library's collection?

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Explanation

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Problem 4

A shipment company delivers packages in sets. Each set contains 112 packages. If the company sends out shipments containing a total of 5 sets in a day, how many packages are delivered that day?

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Explanation

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Problem 5

A music band records their albums in batches. Each batch contains 112 tracks. Over the years, they have completed 4 batches. How many tracks have they recorded in total?

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Explanation

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FAQs on Multiples of 112

1.How do you find the multiples of 112?

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2.What is the LCM of 7 and 112?

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3.What are the real-life applications of Multiples of 112?

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4.Are multiples of 112 finite or infinite?

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5.Is there any odd multiple of 112?

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Important Glossaries for Multiples of 112

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 112 include 112, 224, 336, 448, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 112 are the numbers that consist of the number pattern of 112.

 

  • 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 112 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 8, 14, 16, 28, 56, and 112 are the divisors of 112.

 

  • LCM (Least Common Multiple): The smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 112 is 112.
     
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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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