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Last updated on February 27th, 2025

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Multiples of 106

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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 106.

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What are the Multiples of 106?

Now, let us learn more about multiples of 106. Multiples of 106 are the numbers you get when you multiply 106 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 106 can be denoted as 106 × 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 106 × 1 will give us 106 as the product. Multiples of 106 will be larger or equal to 106.

 

multiples of 106
 

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List of First 20 Multiples of 106

Multiples of 106 include the products of 106 and an integer. Multiples of 106 are divisible by 106 evenly. The first few multiples of 106 are given below:

 


Now, we know the first few multiples of 106. They are 0, 106, 212, 318, 424, 530, 636, 742, 848, 954, 1060,...

 


 

TABLE OF 106 (1-10)

106 x 1 = 106

106 x 6 = 636

106 x 2 = 212

106 x 7 = 742

106 x 3 = 318

106 x 8 = 848

106 x 4 = 424

106 x 9 = 954

106 x 5 = 530

106 x 10 = 1060

 

TABLE OF 106 (11-20)

106 x 11 = 1166

106 x 16 = 1696

106 x 12 = 1272

106 x 17 = 1802

106 x 13 = 1378

106 x 18 = 1908

106 x 14 = 1484

106 x 19 = 2014

106 x 15 = 1590

106 x 20 = 2120

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Operations with Multiples of 106

Understanding the multiples of 106 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 106, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 106:

 

106, 212, 318, 424, and 530 are the first five multiples of 106. When multiplying 106 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:


106 + 212 + 318 + 424 + 530 = 1590


When we add the first 5 multiples of 106, the answer will be 1590.

 

Subtraction of first 5 Multiples of 106:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 106, 212, 318, 424, and 530 are the first five multiples of 106. So, let us calculate it as given below:


106 - 212 = -106
-106 - 318 = -424
-424 - 424 = -848
-848 - 530 = -1378


Hence, the result of subtracting the first 5 multiples of 106 is -1378.

 

Average of first 5 Multiples of 106:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 106, 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 106 is 1590.


106 + 212 + 318 + 424 + 530 = 1590


Next, divide the sum by 5:


1590 ÷ 5 = 318


318 is the average of the first 5 multiples of 106.

 

Product of First 5 Multiples of 106:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 106 include: 106, 212, 318, 424, and 530. Now, the product of these numbers is:


106 × 212 × 318 × 424 × 530 = 15,280,686,560


The product of the first 5 multiples of 106 is 15,280,686,560.

 

Division of First 5 Multiples of 106:

 

While we perform division, we get to know how many times 106 can fit into each of the given multiples. 106, 212, 318, 424, and 530 are the first 5 multiples of 106.


106 ÷ 106 = 1  
212 ÷ 106 = 2  
318 ÷ 106 = 3  
424 ÷ 106 = 4  
530 ÷ 106 = 5  


The results of dividing the first 5 multiples of 106 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 106

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Multiples of 106 Examples

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Problem 1

A community group is organizing an art exhibition. They plan to display paintings in rows, with each row containing 106 paintings. If the exhibition lasts for 5 weeks and they set up 106 new paintings each week, how many paintings will they have displayed by the end of the exhibition?

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Explanation

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Problem 2

During a charity event, volunteers are packing care packages. Each package contains items in counts of the first three multiples of 106. How many items are in each package based on this series?

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Explanation

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Problem 3

In a community library, there are 106 sections. Each section contains 106 books. How many books are there in total?

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Explanation

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Problem 4

Emma is organizing a digital photo album. She has 10 folders, and each folder contains 106 photos. How many photos does she have in total?

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Explanation

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Problem 5

A music band is recording songs for their new album. Each track is 106 seconds long. If they record 3 tracks, what is the total duration of the album in seconds?

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Explanation

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FAQs on Multiples of 106

1.How do you find the multiples of 106?

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2.What is the LCM of 105 and 106?

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3.What are the real-life applications of Multiples of 106?

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4.Are multiples of 106 finite or infinite?

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5.Is there any odd multiple of 106?

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Important Glossaries for Multiples of 106

 

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 106 include 106, 212, 318, 424, etc. 

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 106 are the numbers that consist of the number pattern of 106. 

 

  • 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 106 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 53, and 106 are the divisors of 106.

 

  • LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each of the numbers. For instance, the LCM of 105 and 106 is 11,130.
     
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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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