192 LearnersLast updated on May 26th, 2025
Multiples of 109
In math, multiples are the products we get when multiplying a number by 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 109.
What are the Multiples of 109?
Now, let us learn more about multiples of 109. Multiples of 109 are the numbers you get when you multiply 109 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 109 can be denoted as 109 × 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 109 × 1 will give us 109 as the product. Multiples of 109 will be larger or equal to 109.
List of First 20 Multiples of 109
Multiples of 109 include the products of 109 and an integer. Multiples of 109 are divisible by 109 evenly. The first few multiples of 109 are given below:
Now, we know the first few multiples of 109. They are 0, 109, 218, 327, 436, 545, 654, 763, 872, 981, 1090,...
| TABLE OF 109 (1-10) | |
|---|---|
|
109 x 1 = 109 |
109 x 6 = 654 |
|
109 x 2 = 218 |
109 x 7 = 763 |
|
109 x 3 = 327 |
109 x 8 = 872 |
|
109 x 4 = 436 |
109 x 9 = 981 |
|
109 x 5 = 545 |
109 x 10 = 1090 |
| TABLE OF 109 (11-20) | |
|---|---|
|
109 x 11 = 1199 |
109 x 16 = 1744 |
|
109 x 12 = 1308 |
109 x 17 = 1853 |
|
109 x 13 = 1417 |
109 x 18 = 1962 |
|
109 x 14 = 1526 |
109 x 19 = 2071 |
|
109 x 15 = 1635 |
109 x 20 = 2180 |
Operations with Multiples of 109
Understanding the multiples of 109 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 109, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 109:
109, 218, 327, 436, and 545 are the first five multiples of 109. When multiplying 109 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
109 + 218 + 327 + 436 + 545 = 1635
When we add the first 5 multiples of 109, the answer will be 1635.
Subtraction of first 5 Multiples of 109:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 109, 218, 327, 436, and 545 are the first five multiples of 109. So, let us calculate it as given below:
109 - 218 = -109
-109 - 327 = -436
-436 - 436 = -872
-872 - 545 = -1417
Hence, the result of subtracting the first 5 multiples of 109 is -1417.
Average of first 5 Multiples of 109:
To calculate the average, we need to identify the sum of the first 5 multiples of 109, 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 109 is 1635.
109 + 218 + 327 + 436 + 545 = 1635
Next, divide the sum by 5:
1635 ÷ 5 = 327
327 is the average of the first 5 multiples of 109.
Product of First 5 Multiples of 109:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 109 include: 109, 218, 327, 436, and 545. Now, the product of these numbers is:
109 × 218 × 327 × 436 × 545 = 16,715,109,480
The product of the first 5 multiples of 109 is 16,715,109,480.
Division of First 5 Multiples of 109:
While we perform division, we get to know how many times 109 can fit into each of the given multiples. 109, 218, 327, 436, and 545 are the first 5 multiples of 109.
109 ÷ 109 = 1
218 ÷ 109 = 2
327 ÷ 109 = 3
436 ÷ 109 = 4
545 ÷ 109 = 5
The results of dividing the first 5 multiples of 109 are: 1, 2, 3, 4, and 5
Common Mistakes and How to Avoid Them in Multiples of 109
While working with multiples of 109, 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 109. 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 109 refer to the products we get while multiplying 109 with other numbers. For example, multiples of 109 include 0, 109, 218, 327, 436, 545, 654, 763, 872, 981, 1090….
The factors of 109 are 1 and 109. When 109 is divided by 1 or 109, the remainder will be zero. These are the factors of 109, meaning that these numbers can divide 109 without any remainder.
Factors of 109:
109 ÷ 1 = 109
109 ÷ 109 = 1
Multiples of 109 Examples
Problem 1
A group of astronomers is cataloging stars in a distant galaxy. Each sector they examine contains 109 stars. If they survey 5 sectors in a month, how many stars will they have cataloged after 3 months?
1,635 stars
Explanation
Each month they survey 5 sectors, each containing 109 stars. To find the total number of stars cataloged after 3 months, multiply the number of sectors by the number of stars per sector and the number of months.
Stars per sector = 109
Sectors per month = 5
Number of months = 3
109 × 5 × 3 = 1,635
They will have cataloged 1,635 stars after 3 months.
Problem 2
A farmer is planting crops in his fields following the first three multiples of 109. How many crops does he plant in each of these fields?
The first three multiples of 109 are 109, 218, and 327. The farmer plants 109 crops in the first field, 218 in the second, and 327 in the third.
Explanation
Identifying the first three multiples of 109, we find:
109 × 1 = 109
109 × 2 = 218
109 × 3 = 327
Therefore, the farmer plants 109, 218, and 327 crops in the first, second, and third fields respectively.
Problem 3
In a tech company, there are 109 computers. Each computer is used by 109 employees. How many employees in total work there?
11,881 employees.
Explanation
To find the total number of employees, multiply the number of computers by the number of employees per computer.
Number of computers = 109
Number of employees per computer = 109
109 × 109 = 11,881
Therefore, a total of 11,881 employees work in the company.
Problem 4
Emma is organizing her art supplies. She places her supplies in 4 drawers. Each drawer contains 109 items. How many items are there in total?
436 items.
Explanation
To find the total number of art supplies, multiply the number of drawers by the number of items in each drawer.
Number of drawers = 4
Number of items per drawer = 109
4 × 109 = 436
So, there are 436 art supplies in total.
Problem 5
A library is arranging books on shelves. The first shelf has 109 books, the second has 218 books, and the third shelf has 327 books. How many books are there on all three shelves?
654 books
Explanation
The first shelf has 109 books, the second has 218, and the third has 327. Total books:
109 + 218 + 327 = 654
Therefore, there are a total of 654 books on all three shelves.
FAQs on Multiples of 109
1.How do you find the multiples of 109?
2.What is the LCM of 109 and 7?
3.What are the real-life applications of Multiples of 109?
4.Are multiples of 109 finite or infinite?
5.Is there any odd multiple of 109?
Important Glossaries for Multiples of 109
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 109 include 109, 218, 327, 436, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 109 are the numbers that consist of the number pattern of 109.
- Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. All multiples of 109 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 109 are the divisors of 109.
- LCM (Least Common Multiple): The LCM of two numbers is the smallest positive multiple that is divisible by both numbers. For example, the LCM of 109 and 7 is 763.
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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
