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Last updated on February 27th, 2025

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Multiples of 107

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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 107.

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What are the Multiples of 107?

Now, let us learn more about multiples of 107. Multiples of 107 are the numbers you get when you multiply 107 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 107 can be denoted as 107 × 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 107 × 1 will give us 107 as the product. Multiples of 107 will be larger than or equal to 107.

 

multiples of 107
 

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List of First 20 Multiples of 107

Multiples of 107 include the products of 107 and an integer. Multiples of 107 are divisible by 107 evenly. The first few multiples of 107 are given below:

 


Now, we know the first few multiples of 107. They are 0, 107, 214, 321, 428, 535, 642, 749, 856, 963, 1070,...
 

TABLE OF 107 (1-10)

107 x 1 = 107

107 x 6 = 642

107 x 2 = 214

107 x 7 = 749

107 x 3 = 321

107 x 8 = 856

107 x 4 = 428

107 x 9 = 963

107 x 5 = 535

107 x 10 = 1070

 

TABLE OF 107 (11-20)

107 x 11 = 1177

107 x 16 = 1712

107 x 12 = 1284

107 x 17 = 1819

107 x 13 = 1391

107 x 18 = 1926

107 x 14 = 1498

107 x 19 = 2033

107 x 15 = 1605

107 x 20 = 2140

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Operations with Multiples of 107

Understanding the multiples of 107 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 107, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 107:


107, 214, 321, 428, and 535 are the first five multiples of 107. When multiplying 107 from 1 to 5, we get these numbers as the products.


So, the sum of these multiples is:


107 + 214 + 321 + 428 + 535 = 1605


When we add the first 5 multiples of 107, the answer will be 1605.

 

Subtraction of first 5 Multiples of 107:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 107, 214, 321, 428, and 535 are the first five multiples of 107. So, let us calculate it as given below:


107 - 214 = -107
-107 - 321 = -428
-428 - 428 = -856
-856 - 535 = -1391


Hence, the result of subtracting the first 5 multiples of 107 is -1391.

 

Average of first 5 Multiples of 107:


To calculate the average, we need to identify the sum of the first 5 multiples of 107 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 107 is 1605.


107 + 214 + 321 + 428 + 535 = 1605


Next, divide the sum by 5:


1605 ÷ 5 = 321


321 is the average of the first 5 multiples of 107.

 

Product of First 5 Multiples of 107:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 107 include: 107, 214, 321, 428, and 535. Now, the product of these numbers is:


107 × 214 × 321 × 428 × 535 = 15,646,746,380


The product of the first 5 multiples of 107 is 15,646,746,380.

 

Division of First 5 Multiples of 107:


While we perform division, we get to know how many times 107 can fit into each of the given multiples. 107, 214, 321, 428, and 535 are the first 5 multiples of 107.


107 ÷ 107 = 1
214 ÷ 107 = 2
321 ÷ 107 = 3
428 ÷ 107 = 4
535 ÷ 107 = 5  


The results of dividing the first 5 multiples of 107 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 107

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Multiples of 107 Examples

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Problem 1

In a futuristic city, drones are programmed to deliver packages in groups of 107. Each month, they increase the number of deliveries by 107 packages. How many packages will the drones deliver after 4 months?

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Explanation

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Problem 2

In a massive art installation, artists are creating sculptures in sequences of the first three multiples of 107. How many sculptures will each artist contribute based on the series of the first three multiples of 107?

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Explanation

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Problem 3

In a complex network of servers, each server has 107 active connections. If there are 8 servers in total, how many active connections are there?

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Explanation

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Problem 4

Lina is organizing her collection of rare coins. She places them in trays, each containing 107 coins. If she has 5 trays, how many coins does she have in total?

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Explanation

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Problem 5

For an event, chairs are arranged in a sequence where the first row has 107 chairs, the second row has 214 chairs, and the third row has 321 chairs. How many chairs are there in total?

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Explanation

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FAQs on Multiples of 107

1.How do you find the multiples of 107?

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2.What is the LCM of 7 and 107?

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3. What are the real-life applications of Multiples of 107?

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4.Are multiples of 107 finite or infinite?

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5.Is there any odd multiples of 107?

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Important Glossaries for Multiples of 107

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 107 include 107, 214, 321, 428, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 107 are the numbers that consist of the number pattern of 107.

 

  • Odd number: An odd number refers to any number that is not divisible by 2. All multiples of 107 are odd numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 107 are the divisors of 107.

 

  • LCM: Short for Least Common Multiple, it is the smallest common multiple shared by two or more numbers.
     
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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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