396 LearnersLast updated on May 26th, 2025
Multiples of 82
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 82.
What are the Multiples of 82?
Now, let us learn more about multiples of 82. Multiples of 82 are the numbers you get when you multiply 82 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 82 can be denoted as 82 × 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 82 × 1 will give us 82 as the product. Multiples of 82 will be larger or equal to 82.
List of First 20 Multiples of 82
Multiples of 82 include the products of 82 and an integer. Multiples of 82 are divisible by 82 evenly. The first few multiples of 82 are given below:
| TABLE OF 82 (1-10) | |
|---|---|
|
82 x 1 = 82 |
82 x 6 = 492 |
|
82 x 2 = 164 |
82 x 7 = 574 |
|
82 x 3 = 246 |
82 x 8 = 656 |
|
82 x 4 = 328 |
82 x 9 = 738 |
|
82 x 5 = 410 |
82 x 10 = 820 |
| TABLE OF 82 (11-20) | |
|---|---|
|
82 x 11 = 902 |
82 x 16 = 1312 |
|
82 x 12 = 984 |
82 x 17 = 1394 |
|
82 x 13 = 1066 |
82 x 18 = 1476 |
|
82 x 14 = 1148 |
82 x 19 = 1558 |
|
82 x 15 = 1230 |
82 x 20 = 1640 |
Now, we know the first few multiples of 82. They are 0, 82, 164, 246, 328, 410, 492, 574, 656, 738, 820,...
Operations with Multiples of 82
Understanding the multiples of 82 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 82, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 82:
82, 164, 246, 328, and 410 are the first five multiples of 82. When multiplying 82 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
82 + 164 + 246 + 328 + 410 = 1,230
When we add the first 5 multiples of 82, the answer will be 1,230.
Subtraction of first 5 Multiples of 82:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 82, 164, 246, 328, and 410 are the first five multiples of 82. So, let us calculate it as given below:
82 - 164 = -82
-82 - 246 = -328
-328 - 328 = -656
-656 - 410 = -1,066
Hence, the result of subtracting the first 5 multiples of 82 is -1,066.
Average of first 5 Multiples of 82:
To calculate the average, we need to identify the sum of the first 5 multiples of 82, 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 82 is 1,230.
82 + 164 + 246 + 328 + 410 = 1,230
Next, divide the sum by 5:
1,230 ÷ 5 = 246
246 is the average of the first 5 multiples of 82.
Product of First 5 Multiples of 82:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 82 include: 82, 164, 246, 328, and 410. Now, the product of these numbers is:
82 × 164 × 246 × 328 × 410 = 1,724,029,440
The product of the first 5 multiples of 82 is 1,724,029,440.
Division of First 5 Multiples of 82:
While we perform division, we get to know how many times 82 can fit into each of the given multiples. 82, 164, 246, 328, and 410 are the first 5 multiples of 82.
82 ÷ 82 = 1
164 ÷ 82 = 2
246 ÷ 82 = 3
328 ÷ 82 = 4
410 ÷ 82 = 5
The results of dividing the first 5 multiples of 82 are: 1, 2, 3, 4, and 5
Common Mistakes and How to Avoid Them in Multiples of 82
While working with multiples of 82, 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 82. 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 82 refer to the products we get while multiplying 82 with other numbers. For example, multiples of 82 include 0, 82, 164, 246, 328, 410, 492, 574, 656, 738, 820…
The factors of 82 are 1, 2, 41, and 82. When 82 is divided by 1, 2, 41, and 82, the remainder will be zero. These are the factors of 82, meaning that these numbers can divide 82 without any remainder.
Factors of 82:
82 ÷ 1 = 82
82 ÷ 2 = 41
82 ÷ 41 = 2
82 ÷ 82 = 1
Multiples of 82 Examples
Problem 1
Anna is organizing a charity fundraiser and decides to create gift bags. Each gift bag contains 82 items. If she prepares gift bags for 5 different events, how many items will she need in total?
410 items
Explanation
Anna creates 5 gift bags with 82 items each. To find the total number of items, multiply the number of gift bags by the number of items per bag.
Gift bags = 5
Items per bag = 82
5 × 82 = 410
Anna will need 410 items in total.
Problem 2
At a large warehouse, boxes are being packed with gadgets. Each box contains gadgets in the sequence of the first three multiples of 82. How many gadgets are there in each of the three boxes?
The first three multiples of 82 are 82, 164, and 246.
Explanation
Identify the first three multiples of 82:
82 × 1 = 82
82 × 2 = 164
82 × 3 = 246
Thus, the first box contains 82 gadgets, the second box contains 164 gadgets, and the third box contains 246 gadgets.
Problem 3
In a science fair, there are 82 project displays. Each display features 82 unique scientific experiments. How many experiments are featured in total?
6,724 experiments
Explanation
To find the total number of experiments, multiply the number of project displays by the number of experiments per display.
Number of displays = 82
Experiments per display = 82
82 × 82 = 6,724
Therefore, there are 6,724 experiments in total.
Problem 4
Michael is stocking up his art supply store. He receives shipments of paintbrushes where each shipment contains 82 bundles. If there are 7 shipments in total, how many bundles does he receive?
574 bundles
Explanation
To find the total number of bundles, multiply the number of shipments by the number of bundles per shipment.
Shipments = 7
Bundles per shipment = 82
7 × 82 = 574
Michael receives 574 bundles in total.
Problem 5
In a library, the first section has 82 books, the second section has twice as many books, and the third section has three times as many books as the first section. How many books are there in total in these three sections?
492 books
Explanation
Calculate the number of books in each section based on the multiples of 82.
First section = 82 books
Second section = 2 × 82 = 164 books
Third section = 3 × 82 = 246 books
Now, add the books from all sections:
82 + 164 + 246 = 492
Therefore, there are 492 books in total across the three sections.
FAQs on Multiples of 82
1.How do you find the multiples of 82?
2.What is the LCM of 7 and 82?
3.What are the real-life applications of Multiples of 82?
4.Are multiples of 82 finite or infinite?
5.Is there any odd multiple of 82?
6.How can poems help children in United Kingdom memorize the Multiplication Table and Multiples of 82?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 82 challenges for kids in United Kingdom?
8.How do language and cultural differences in United Kingdom affect the way children learn the Multiplication Table and Multiples of 82?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 82 among early learners in United Kingdom?
Important Glossaries for Multiples of 82
- Multiple:A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 82 include 82, 164, 246, 328, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 82 are the numbers that consist of the number pattern of 82.
- 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 82 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 41, and 82 are the divisors of 82.
- Least Common Multiple (LCM):The smallest number that is a multiple of two or more numbers. For example, the LCM of 7 and 82 is 574.
Explore More multiplication-tables
Previous to Multiples of 82
About BrightChamps in United Kingdom
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
