100 LearnersLast updated on May 26th, 2025
Multiples of 882
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 882.
What are the Multiples of 882?
Now, let us learn more about multiples of 882. Multiples of 882 are the numbers you get when you multiply 882 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 882 can be denoted as 882 × 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 882 × 1 will give us 882 as the product. Multiples of 882 will be larger or equal to 882.
List of First 20 Multiples of 882
Multiples of 882 include the products of 882 and an integer. Multiples of 882 are divisible by 882 evenly. The first few multiples of 882 are given below:
| TABLE OF 882 (1-10) | |
|---|---|
|
882 x 1 = 882 |
882 x 6 = 5292 |
|
882 x 2 = 1764 |
882 x 7 = 6174 |
|
882 x 3 = 2646 |
882 x 8 = 7056 |
|
882 x 4 = 3528 |
882 x 9 = 7938 |
|
882 x 5 = 4410 |
882 x 10 = 8820 |
| TABLE OF 882 (11-20) | |
|---|---|
|
882 x 11 = 9702 |
882 x 16 = 14112 |
|
882 x 12 = 10584 |
882 x 17 = 15006 |
|
882 x 13 = 11466 |
882 x 18 = 15876 |
|
882 x 14 = 12348 |
882 x 19 = 16758 |
|
882 x 15 = 13230 |
882 x 20 = 17640 |
Now, we know the first few multiples of 882. They are 0, 882, 1764, 2646, 3528, 4410, 5292, 6174, 7056, 7938, 8820,...
Operations with Multiples of 882
Understanding the multiples of 882 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 882, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 882
882, 1764, 2646, 3528, and 4410 are the first five multiples of 882. When multiplying 882 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
882 + 1764 + 2646 + 3528 + 4410 = 13230
When we add the first 5 multiples of 882, the answer will be 13230.
Subtraction of first 5 Multiples of 882
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 882, 1764, 2646, 3528, and 4410 are the first five multiples of 882. So, let us calculate it as given below:
882 - 1764 = -882
-882 - 2646 = -3528
-3528 - 3528 = -7056
-7056 - 4410 = -11466
Hence, the result of subtracting the first 5 multiples of 882 is -11466.
Average of first 5 Multiples of 882
To calculate the average, we need to identify the sum of the first 5 multiples of 882 and then divide it by the count, i.e., 5. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 882 is 13230.
Next, divide the sum by 5:
13230 ÷ 5 = 2646
2646 is the average of the first 5 multiples of 882.
Product of First 5 Multiples of 882
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 882 include: 882, 1764, 2646, 3528, and 4410. Now, the product of these numbers is:
882 × 1764 × 2646 × 3528 × 4410
(The product is a very large number. Calculating it manually would require a calculator or computer software.)
Division of First 5 Multiples of 882
While we perform division, we get to know how many times 882 can fit into each of the given multiples. 882, 1764, 2646, 3528, and 4410 are the first 5 multiples of 882.
882 ÷ 882 = 1
1764 ÷ 882 = 2
2646 ÷ 882 = 3
3528 ÷ 882 = 4
4410 ÷ 882 = 5
The results of dividing the first 5 multiples of 882 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 882
While working with multiples of 882, 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 882. 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 882 refer to the products we get while multiplying 882 with other numbers. For example, multiples of 882 include 0, 882, 1764, 2646, 3528, 4410, 5292, 6174, 7056, 7938, 8820, etc.
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 21, 42, 63, 126, 147, 294, 441, and 882. These numbers can divide 882 without any remainder.
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 882 include 882, 1764, 2646, 3528, 4410, 5292, etc.
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 882, the result will still be a multiple of 882. For example, children may write,
882 + 1764 = 2700 (which is wrong, and the correct answer is 2646)
This is incorrect because 2700 is not a multiple of 882. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 882.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 882, and any other number, is zero; it has a valid value. Remember this:
882 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 882 + 882 + 882 + 882 + 882. Instead of adding too many values, use multiplication. Calculate 882 × n for the nth multiple.
For example, instead of 882 + 882 + 882 + 882 + 882, calculate it as given below:
882 × 5 = 4410
Multiples of 882 Examples
Problem 1
In a factory, machines operate in cycles. Each machine completes a cycle in 882 seconds. If there are 5 machines operating simultaneously, how many seconds will they operate in total after completing one cycle each?
4410 seconds
Explanation
Each machine operates for 882 seconds per cycle. To find the total operation time for 5 machines completing one cycle each, multiply 882 by 5.
Seconds per cycle per machine = 882
Number of machines = 5
882 × 5 = 4410
Therefore, the machines will operate for a total of 4410 seconds.
Problem 2
A shipping company uses containers that can hold a maximum weight that is a multiple of 882 kilograms. If the company fills the first container with 882 kg, the second with 1764 kg, and the third with 2646 kg, what is the total weight of cargo in the three containers?
5292 kg
Explanation
The weights of cargo in the containers are the first three multiples of 882: 882, 1764, and 2646.
First container: 882 kg
Second container: 1764 kg
Third container: 2646 kg
Total weight = 882 + 1764 + 2646 = 5292 kg
Thus, the total weight of cargo is 5292 kg.
Problem 3
A concert hall has 882 seats arranged in a pattern of rows and columns. If there are 9 rows, how many seats are there in each row?
98 seats
Explanation
To find the number of seats per row, divide the total number of seats by the number of rows.
Total seats = 882
Number of rows = 9
882 ÷ 9 = 98
Each row contains 98 seats.
Problem 4
A sports tournament awards points using multiples of 882. Team A scores points in multiples of 882 over three games. In the first game, they score 882 points, in the second game 1764 points, and in the third game 2646 points. What is the total score for Team A after all three games?
5292 points
Explanation
Add the scores from the three games to find the total.
First game: 882 points
Second game: 1764 points
Third game: 2646 points
Total score = 882 + 1764 + 2646 = 5292
Team A's total score is 5292 points.
Problem 5
In a large library, books are organized in sections with each section containing a number of books that is a multiple of 882. If the first section has 882 books, the second has 1764 books, and the third has 2646 books, how many books are there in total in these three sections?
5292 books
Explanation
The total number of books is the sum of books in each section.
First section: 882 books
Second section: 1764 books
Third section: 2646 books
Total books = 882 + 1764 + 2646 = 5292
The library has a total of 5292 books in these three sections.
FAQs on Multiples of 882
1.How do you find the multiples of 882?
2.What is the LCM of 882 and another number
3.What are the real-life applications of Multiples of 882?
4.Are multiples of 882 finite or infinite?
5.Are there any odd multiples of 882?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 882?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 882 challenges for kids in United States?
8.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 882?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 882 among early learners in United States?
Important Glossaries for Multiples of 882
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 882 include 882, 1764, 2646, 3528, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 882 are numbers that consist of the number pattern of 882.
- Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. All multiples of 882 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. For 882, divisors include numbers like 1, 2, 3, 6, 7, 9, 14, 21, 42, 63, 126, 147, 294, 441, and 882.
- Factor: A factor is a number that divides another number completely. Factors of 882 include numbers like 1, 2, 3, 6, 7, 9, 14, 21, 42, 63, 126, 147, 294, 441, and 882.
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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
