108 LearnersLast updated on May 26th, 2025
Multiples of 122
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 122.
What are the Multiples of 122?
Now, let us learn more about multiples of 122. Multiples of 122 are the numbers you get when you multiply 122 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 122 can be denoted as 122 × 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 122 × 1 will give us 122 as the product. Multiples of 122 will be larger or equal to 122.
List of First 20 Multiples of 122
Multiples of 122 include the products of 122 and an integer. Multiples of 122 are divisible by 122 evenly. The first few multiples of 122 are given below:
| TABLE OF 122 (1-10) | |
|---|---|
|
122 x 1 = 122 |
122 x 6 = 732 |
|
122 x 2 = 244 |
122 x 7 = 854 |
|
122 x 3 = 366 |
122 x 8 = 976 |
|
122 x 4 = 488 |
122 x 9 = 1098 |
|
122 x 5 = 610 |
122 x 10 = 1220 |
| TABLE OF 122 (11-20) | |
|---|---|
|
122 x 11 = 1342 |
122 x 16 = 1952 |
|
122 x 12 = 1464 |
122 x 17 = 2074 |
|
122 x 13 = 1586 |
122 x 18 = 2196 |
|
122 x 14 = 1708 |
122 x 19 = 2318 |
|
122 x 15 = 1830 |
122 x 20 = 2440 |
Now, we know the first few multiples of 122. They are 0, 122, 244, 366, 488, 610, 732, 854, 976, 1098, 1220,...
Operations with Multiples of 122
Understanding the multiples of 122 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 122, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 122:
122, 244, 366, 488, and 610 are the first five multiples of 122. When multiplying 122 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
122 + 244 + 366 + 488 + 610 = 1830
When we add the first 5 multiples of 122, the answer will be 1830.
Subtraction of first 5 Multiples of 122:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 122, 244, 366, 488, and 610 are the first five multiples of 122. So, let us calculate it as given below:
122 - 244 = -122
-122 - 366 = -488
-488 - 488 = -976
-976 - 610 = -1586
Hence, the result of subtracting the first 5 multiples of 122 is -1586.
Average of first 5 Multiples of 122:
To calculate the average, we need to identify the sum of the first 5 multiples of 122, 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 122 is 1830.
122 + 244 + 366 + 488 + 610 = 1830
Next, divide the sum by 5:
1830 ÷ 5 = 366
366 is the average of the first 5 multiples of 122.
Product of First 5 Multiples of 122:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 122 include: 122, 244, 366, 488, and 610. Now, the product of these numbers is:
122 × 244 × 366 × 488 × 610 = 53,448,460,800
The product of the first 5 multiples of 122 is 53,448,460,800.
Division of First 5 Multiples of 122:
While we perform division, we get to know how many times 122 can fit into each of the given multiples. 122, 244, 366, 488, and 610 are the first 5 multiples of 122.
122 ÷ 122 = 1
244 ÷ 122 = 2
366 ÷ 122 = 3
488 ÷ 122 = 4
610 ÷ 122 = 5
The results of dividing the first 5 multiples of 122 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 122
While working with multiples of 122, 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 122. 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 122 refer to the products we get while multiplying 122 with other numbers. For example, multiples of 122 include 0, 122, 244, 366, 488, 610, 732, 854, 976, 1098, 1220…
The factors of 122 are 1, 2, 61, and 122. When 122 is divided by 1, 2, 61, and 122, the remainder will be zero. These are the factors of 122, meaning that these numbers can divide 122 without any remainder.
Factors of 122:
122 ÷ 1 = 122
122 ÷ 2 = 61
122 ÷ 61 = 2
122 ÷ 122 = 1
Multiples of 122 Examples
Problem 1
Alex is organizing a charity event where each participant donates 122 canned goods. If 5 participants join the event every month, how many canned goods will be collected after 3 months?
1,830 canned goods
Explanation
Each participant donates 122 canned goods. To find the total number of canned goods collected after 3 months, we multiply the number of participants per month by the number of canned goods and the number of months.
Canned goods per participant = 122
Participants per month = 5
Number of months = 3
122 × 5 × 3 = 1,830
Therefore, 1,830 canned goods will be collected after 3 months.
Problem 2
In a factory, machines produce widgets in multiples of 122. The first machine produces 122 widgets, the second machine produces 244 widgets, and the third machine produces 366 widgets. How many widgets do all three machines produce together?
732 widgets
Explanation
The production of widgets follows the first three multiples of 122. The machines produce:
122 × 1 = 122
122 × 2 = 244
122 × 3 = 366
Total widgets produced = 122 + 244 + 366 = 732
Thus, all three machines produce 732 widgets together.
Problem 3
A concert venue has seating arranged in sections, with each section containing 122 seats. If there are 7 sections, how many seats are available in total?
854 seats
Explanation
To find the total number of seats, multiply the number of sections by the number of seats per section.
Number of sections = 7
Seats per section = 122
7 × 122 = 854
Therefore, there are 854 seats available in the venue.
Problem 4
Lisa is stacking boxes in her warehouse. Each stack consists of 4 layers, and each layer contains 122 boxes. How many boxes are there in total in one stack?
488 boxes
Explanation
To find the total number of boxes in one stack, multiply the number of layers by the number of boxes per layer.
Number of layers = 4
Boxes per layer = 122
4 × 122 = 488
So, there are 488 boxes in total in one stack.
Problem 5
Tom is setting up a display of collectibles. He places 122 items on the first shelf, 244 items on the second shelf, and 366 items on the third shelf. How many items are there on all three shelves?
732 items
Explanation
The items on the shelves follow the multiples of 122:
First shelf: 122 items
Second shelf: 244 items
Third shelf: 366 items
Total items = 122 + 244 + 366 = 732
Thus, there are a total of 732 items on all three shelves.
FAQs on Multiples of 122
1.How do you find the multiples of 122?
2.What is the LCM of 61 and 122?
3.What are the real-life applications of Multiples of 122?
4.Are multiples of 122 finite or infinite?
5. Is there any odd multiples of 122?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 122?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 122 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 122?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 122 among early learners in Vietnam?
Important Glossaries for Multiples of 122
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 122 include 122, 244, 366, 488, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 122 are the numbers that consist of the number pattern of 122.
- 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 122 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 61, and 122 are the divisors of 122.
- Infinite: This term refers to having no bounds or limits. The multiples of 122 are infinite as they continue indefinitely.
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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
