104 LearnersLast updated on May 26th, 2025
Multiples of 682
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 682.
What are the Multiples of 682?
Now, let us learn more about multiples of 682. Multiples of 682 are the numbers you get when you multiply 682 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 682 can be denoted as 682 × 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 682 × 1 will give us 682 as the product. Multiples of 682 will be larger or equal to 682.
List of First 20 Multiples of 682
Multiples of 682 include the products of 682 and an integer. Multiples of 682 are divisible by 682 evenly. The first few multiples of 682 are given below:
| TABLE OF 682 (1-10) | |
|---|---|
|
682 x 1 = 682 |
682 x 6 = 4092 |
|
682 x 2 = 1364 |
682 x 7 = 4774 |
|
682 x 3 = 2046 |
682 x 8 = 5456 |
|
682 x 4 = 2728 |
682 x 9 = 6138 |
|
682 x 5 = 3410 |
682 x 10 = 6820 |
| TABLE OF 682 (11-20) | |
|---|---|
|
682 x 11 = 7502 |
682 x 16 = 10912 |
|
682 x 12 = 8184 |
682 x 17 = 11594 |
|
682 x 13 = 8866 |
682 x 18 = 12276 |
|
682 x 14 = 9548 |
682 x 19 = 12958 |
|
682 x 15 = 10230 |
682 x 20 = 13640 |
Now, we know the first few multiples of 682. They are 0, 682, 1364, 2046, 2728, 3410, 4092, 4774, 5456, 6138, 6820,...
Operations with Multiples of 682
Understanding the multiples of 682 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 682, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 682:
682, 1364, 2046, 2728, and 3410 are the first five multiples of 682. When multiplying 682 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
682 + 1364 + 2046 + 2728 + 3410 = 10230
When we add the first 5 multiples of 682, the answer will be 10230.
Subtraction of First 5 Multiples of 682:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 682, 1364, 2046, 2728, and 3410 are the first five multiples of 682. So, let us calculate it as given below:
682 - 1364 = -682
-682 - 2046 = -2728
-2728 - 2728 = -5456
-5456 - 3410 = -8866
Hence, the result of subtracting the first 5 multiples of 682 is -8866.
Average of First 5 Multiples of 682:
To calculate the average, we need to identify the sum of the first 5 multiples of 682, 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 682 is 10230.
682 + 1364 + 2046 + 2728 + 3410 = 10230
Next, divide the sum by 5:
10230 ÷ 5 = 2046
2046 is the average of the first 5 multiples of 682.
Product of First 5 Multiples of 682:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 682 include: 682, 1364, 2046, 2728, and 3410. Now, the product of these numbers is:
682 × 1364 × 2046 × 2728 × 3410 = 87,325,328,786,880
The product of the first 5 multiples of 682 is 87,325,328,786,880.
Division of First 5 Multiples of 682:
While we perform division, we get to know how many times 682 can fit into each of the given multiples. 682, 1364, 2046, 2728, and 3410 are the first 5 multiples of 682.
682 ÷ 682 = 1
1364 ÷ 682 = 2
2046 ÷ 682 = 3
2728 ÷ 682 = 4
3410 ÷ 682 = 5
The results of dividing the first 5 multiples of 682 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 682
While working with multiples of 682, 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 682. 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 682 refer to the products we get while multiplying 682 with other numbers. For example, multiples of 682 include 0, 682, 1364, 2046, 2728, 3410, 4092, 4774, 5456, 6138, 6820….
The factors of 682 are 1, 2, 11, 31, 62, 341, and 682. When 682 is divided by 1, 2, 11, 31, 62, 341, and 682, the remainder will be zero. These are the factors of 682, meaning these numbers can divide 682 without any remainder.
Factors of 682:
682 ÷ 1 = 682
682 ÷ 2 = 341
682 ÷ 11 = 62
682 ÷ 31 = 22
682 ÷ 62 = 11
682 ÷ 341 = 2
682 ÷ 682 = 1
Multiples of 682 Examples
Problem 1
In a futuristic city, there are 682 solar-powered drones distributed to maintain the city's infrastructure. Each month, the city receives a shipment of 682 additional drones to replace older models. How many drones will the city have after 5 months?
3410 drones
Explanation
Each month, the city receives 682 drones. To find the total number of drones after 5 months, we multiply 682 by 5.
- Number of drones received each month = 682
- Number of months = 5
[ 682 times 5 = 3410 ]
Therefore, the city will have 3410 drones after 5 months.
Problem 2
A large art installation is being constructed using panels. Each panel is made up of 682 LED lights. If the first section of the installation uses 682 lights, the second section uses twice that number, and the third section uses three times the number in the first section, how many LED lights are used in total for these three sections?
4092 lights
Explanation
The first section uses 682 lights, the second section uses ( 2 times 682 = 1364 ) lights, and the third section uses ( 3 times 682 = 2046 ) lights. Adding these gives:
[ 682 + 1364 + 2046 = 4092 ]
Hence, 4092 LED lights are used in total for these three sections.
Problem 3
A farmer has a large orchard with 682 apple trees in each section. If there are 3 sections in the orchard, how many apple trees are there in total?
2046 apple trees
Explanation
To find the total number of apple trees, multiply the number of trees per section by the number of sections.
- Number of sections = 3
- Number of trees per section = 682
[ 682 times 3 = 2046 ]
Thus, there are 2046 apple trees in total in the orchard.
Problem 4
In a robotics competition, each team builds a robot that uses exactly 682 parts. There are 7 teams participating in the competition. How many parts are used in total by all the robots?
4774 parts
Explanation
To find the total number of parts used, multiply the number of parts per robot by the number of teams.
- Number of teams = 7
- Number of parts per robot = 682
[ 682 times 7 = 4774 ]
Therefore, a total of 4774 parts are used by all the robots.
Problem 5
A library is being organized with books arranged in sections. Each section contains 682 books. If there are 2 sections dedicated to history, 3 sections for science, and 1 section for art, how many books are there in total?
4092 books
Explanation
Calculate the total number of books by multiplying the number of sections by the number of books per section and summing them up.
- History: ( 2 times 682 = 1364 )
- Science: ( 3 times 682 = 2046 )
- Art: ( 1 times 682 = 682 )
Adding these gives:
[ 1364 + 2046 + 682 = 4092 ]
Thus, there are 4092 books in total in the library.
FAQs on Multiples of 682
1.How do you find the multiples of 682?
2.What is the LCM of 341 and 682?
3.What are the real-life applications of Multiples of 682?
4.Are multiples of 682 finite or infinite?
5.Is there any odd multiple of 682?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 682?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 682 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 682?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 682 among early learners in Vietnam?
Important Glossaries for Multiples of 682
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 682 include 682, 1364, 2046, 2728, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 682 are the numbers that consist of the number pattern of 682.
- 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 682 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 11, 31, 62, 341, and 682 are the divisors of 682.
- LCM: Least Common Multiple, the smallest common multiple shared between numbers. For example, the LCM of 341 and 682 is 682.
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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
