178 LearnersLast updated on May 26th, 2025
Multiples of 107
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.
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.
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 |
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.
Common Mistakes and How to Avoid Them in Multiples of 107
While working with multiples of 107, 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
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 107. 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 107 refer to the products we get while multiplying 107 with other numbers. For example, multiples of 107 include 0, 107, 214, 321, 428, 535, 642, 749, 856, 963, 1070….
The factors of 107 are 1 and 107. When 107 is divided by 1 and 107, the remainder will be zero. These are the factors of 107, meaning that these numbers can divide 107 without any remainder.
Factors of 107:
107 ÷ 1 = 107
107 ÷ 107 = 1
Multiples of 107 Examples
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?
428 packages
Explanation
Each month, 107 packages are delivered. To find the total number of packages delivered after 4 months, we use multiplication.
Packages delivered each month = 107
Number of months = 4
107 × 4 = 428
The drones will have delivered 428 packages after 4 months.
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?
The first three multiples of 107 are 107, 214, and 321. The first artist contributes 107 sculptures, the second artist contributes 214, and the third artist contributes 321.
Explanation
To find the number of sculptures contributed by each artist, we calculate the first three multiples of 107:
107 × 1 = 107
107 × 2 = 214
107 × 3 = 321
Hence, the first artist contributes 107 sculptures, the second artist 214, and the third artist 321.
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?
856 connections
Explanation
To find the total number of active connections, multiply the number of servers by the number of connections per server.
Number of servers = 8
Connections per server = 107
8 × 107 = 856
Therefore, there are 856 active connections in total.
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?
535 coins
Explanation
To find the total number of coins Lina has, multiply the number of trays by the number of coins in each tray.
Number of trays = 5
Coins per tray = 107
5 × 107 = 535
So, there are 535 coins in total in Lina's collection.
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?
642 chairs
Explanation
The first row has 107 chairs, the second row has 214 chairs, and the third row has 321 chairs. So, total chairs:
107 + 214 + 321 = 642
Therefore, there are a total of 642 chairs arranged for the event.
FAQs on Multiples of 107
1.How do you find the multiples of 107?
2.What is the LCM of 7 and 107?
3. What are the real-life applications of Multiples of 107?
4.Are multiples of 107 finite or infinite?
5.Is there any odd multiples of 107?
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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: She has songs for each table which helps her to remember the tables
