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121 LearnersLast updated on February 11th, 2025
Multiples of 276
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 276.
What are the Multiples of 276?
Now, let us learn more about multiples of 276. Multiples of 276 are the numbers you get when you multiply 276 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 276 can be denoted as 276 × 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 276 × 1 will give us 276 as the product. Multiples of 276 will be larger or equal to 276.
List of First 20 Multiples of 276
Multiples of 276 include the products of 276 and an integer. Multiples of 276 are divisible by 276 evenly. The first few multiples of 276 are given below:
| TABLE OF 276 (1-10) | |
|---|---|
|
276 x 1 = 276 |
276 x 6 = 1656 |
|
276 x 2 = 552 |
276 x 7 = 1932 |
|
276 x 3 = 828 |
276 x 8 = 2208 |
|
276 x 4 = 1104 |
276 x 9 = 2484 |
|
276 x 5 = 1380 |
276 x 10 = 2760 |
| TABLE OF 276 (11-20) | |
|---|---|
|
276 x 11 = 3036 |
276 x 16 = 4416 |
|
276 x 12 = 3312 |
276 x 17 = 4692 |
|
276 x 13 = 3588 |
276 x 18 = 4968 |
|
276 x 14 = 3864 |
276 x 19 = 5244 |
|
276 x 15 = 4140 |
276 x 20 = 5520 |
Now, we know the first few multiples of 276. They are 0, 276, 552, 828, 1104, 1380, 1656, 1932, 2208, 2484, 2760,...
Operations with Multiples of 276
Understanding the multiples of 276 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 276, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 276:
276, 552, 828, 1104, and 1380 are the first five multiples of 276. When multiplying 276 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
276 + 552 + 828 + 1104 + 1380 = 4140
When we add the first 5 multiples of 276, the answer will be 4140.
Subtraction of First 5 Multiples of 276:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 276, 552, 828, 1104, and 1380 are the first five multiples of 276. So, let us calculate it as given below:
276 - 552 = -276
-276 - 828 = -1104
-1104 - 1104 = -2208
-2208 - 1380 = -3588
Hence, the result of subtracting the first 5 multiples of 276 is -3588.
Average of First 5 Multiples of 276:
To calculate the average, we need to identify the sum of the first 5 multiples of 276, and then divide it by the count, i.e., 5. Because there are 5 multiples present 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 276 is 4140.
276 + 552 + 828 + 1104 + 1380 = 4140
Next, divide the sum by 5:
4140 ÷ 5 = 828
828 is the average of the first 5 multiples of 276.
Product of First 5 Multiples of 276:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 276 include: 276, 552, 828, 1104, and 1380. Now, the product of these numbers is:
276 × 552 × 828 × 1104 × 1380 = 146,451,000,000,000
The product of the first 5 multiples of 276 is 146,451,000,000,000.
Division of First 5 Multiples of 276:
While we perform division, we get to know how many times 276 can fit into each of the given multiples. 276, 552, 828, 1104, and 1380 are the first 5 multiples of 276.
276 ÷ 276 = 1
552 ÷ 276 = 2
828 ÷ 276 = 3
1104 ÷ 276 = 4
1380 ÷ 276 = 5
The results of dividing the first 5 multiples of 276 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 276
While working with multiples of 276, 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 276. 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 276 refer to the products we get while multiplying 276 with other numbers. For example, multiples of 276 include 0, 276, 552, 828, 1104, 1380, 1656, 1932, 2208, 2484, 2760,….
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276. When 276 is divided by any of these numbers, the remainder will be zero. These are the factors of 276, meaning that these numbers can divide 276 without any remainder.
Factors of 276:
276 ÷ 1 = 276
276 ÷ 2 = 138
276 ÷ 3 = 92
276 ÷ 4 = 69
276 ÷ 6 = 46
276 ÷ 12 = 23
Multiples of 276 Examples
Problem 1
In a toy manufacturing company, boxes are packed with action figures. Each box contains 276 action figures. If the company packs 5 boxes in a day, how many action figures do they pack in a week?
9,660 action figures
Explanation
Each box contains 276 action figures. To find the total number of action figures packed in a week, we multiply the number of action figures per box by the number of boxes packed daily, and then by 7 days.
Action figures per box = 276
Boxes packed daily = 5
Days in a week = 7
276 × 5 × 7 = 9,660
Therefore, the company packs 9,660 action figures in a week.
Problem 2
A school is organizing a large art exhibition. They decide to display artworks in sections, each section featuring 276 artworks. If they have 4 sections, how many artworks are displayed in total?
1,104 artworks
Explanation
Each section contains 276 artworks. To find the total number of artworks displayed, multiply the number of artworks per section by the number of sections.
Artworks per section = 276
Number of sections = 4
276 × 4 = 1,104
Thus, there are 1,104 artworks displayed in total.
Problem 3
A company buys bulk stationery items for their offices. They order packs of paper, with each pack containing 276 sheets. If they purchase 3 packs for each of their 6 offices, how many sheets of paper do they buy in total?
4,968 sheets
Explanation
Each pack contains 276 sheets. Multiply the number of sheets per pack by the number of packs per office, and then by the number of offices.
Sheets per pack = 276
Packs per office = 3
Number of offices = 6
276 × 3 × 6 = 4,968
Therefore, the company buys 4,968 sheets of paper in total.
Problem 4
A farmer plants trees in rows, with each row containing 276 trees. If he plants 2 such rows every season and has completed 3 seasons, how many trees has he planted in total?
1,656 trees
Explanation
Each row contains 276 trees. Multiply the number of trees per row by the number of rows planted each season, and then by the number of seasons.
Trees per row = 276
Rows per season = 2
Number of seasons = 3
276 × 2 × 3 = 1,656
Hence, the farmer has planted a total of 1,656 trees.
Problem 5
A publishing company prints books in batches, with each batch consisting of 276 copies. If they need to print batches for 5 different titles, each requiring 2 batches, how many books do they print in total?
2,760 books
Explanation
Each batch contains 276 books. Multiply the number of books per batch by the number of batches per title, and then by the number of titles.
Books per batch = 276
Batches per title = 2
Number of titles = 5
276 × 2 × 5 = 2,760
Therefore, the company prints a total of 2,760 books.
FAQs on Multiples of 276
1.How do you find the multiples of 276?
2.What is the LCM of 276 and 12?
3.What are the real-life applications of Multiples of 276?
4.Are multiples of 276 finite or infinite?
5.Is there any odd multiple of 276?
Important Glossaries for Multiples of 276
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 276 include 276, 552, 828, 1104, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 276 are the numbers that consist of the number pattern of 276.
- 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 276 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276 are the divisors of 276.
- LCM (Least Common Multiple): The smallest common multiple shared by two or more numbers. For example, the LCM of 276 and 12 is 828.
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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
