163 LearnersLast updated on May 26th, 2025
Multiples of 106
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.
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.
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 |
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.
Common Mistakes and How to Avoid Them in Multiples of 106
While working with multiples of 106, 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 106. 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 106 refer to the products we get while multiplying 106 with other numbers. For example, multiples of 106 include 0, 106, 212, 318, 424, 530, 636, 742, 848, 954, 1060….
The factors of 106 are 1, 2, 53, and 106. When 106 is divided by 1, 2, 53, and 106, the remainder will be zero. These are the factors of 106, meaning that these numbers can divide 106 without any remainder.
Factors of 106:
106 ÷ 1 = 106
106 ÷ 2 = 53
106 ÷ 53 = 2
106 ÷ 106 = 1
Multiples of 106 Examples
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?
530 paintings
Explanation
Each week, they set up 106 paintings. To find the total number of paintings displayed after 5 weeks, we multiply the number of paintings per week by the number of weeks.
Paintings displayed each week = 106
Number of weeks = 5
106 × 5 = 530
They will have displayed 530 paintings by the end of the exhibition.
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?
The first three multiples of 106 are 106, 212, and 318. The packages contain 106, 212, and 318 items respectively.
Explanation
The first three multiples of 106 are calculated as follows:
106 × 1 = 106
106 × 2 = 212
106 × 3 = 318
Therefore, each package contains either 106, 212, or 318 items.
Problem 3
In a community library, there are 106 sections. Each section contains 106 books. How many books are there in total?
11,236 books
Explanation
To find the total number of books, we need to count the sections and multiply by the number of books in each section.
Number of sections = 106
Number of books in each section = 106
106 × 106 = 11,236
Therefore, there are a total of 11,236 books in the library
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?
1,060 photos
Explanation
To find the total number of photos Emma has, we multiply the number of folders by the number of photos in each folder.
Number of folders = 10
Number of photos in each folder = 106
10 × 106 = 1,060
Emma has a total of 1,060 photos in her digital album.
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?
318 seconds
Explanation
The duration of each track is 106 seconds. To find the total duration, multiply the number of tracks by the duration of each track.
Number of tracks = 3
Duration of each track = 106 seconds
3 × 106 = 318
The total duration of the album is 318 seconds.
FAQs on Multiples of 106
1.How do you find the multiples of 106?
2.What is the LCM of 105 and 106?
3.What are the real-life applications of Multiples of 106?
4.Are multiples of 106 finite or infinite?
5.Is there any odd multiple of 106?
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.
Fun Fact
: She has songs for each table which helps her to remember the tables
