268 LearnersLast updated on May 26th, 2025
Multiples of 275
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 275.
What are the Multiples of 275?
Now, let us learn more about multiples of 275. Multiples of 275 are the numbers you get when you multiply 275 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 275 can be denoted as 275 × 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 275 × 1 will give us 275 as the product. Multiples of 275 will be larger or equal to 275.
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List of First 20 Multiples of 275
Multiples of 275 include the products of 275 and an integer. Multiples of 275 are divisible by 275 evenly. The first few multiples of 275 are given below:
| TABLE OF 275 (1-10) | |
|---|---|
|
275 x 1 = 275 |
275 x 6 = 1650 |
|
275 x 2 = 550 |
275 x 7 = 1925 |
|
275 x 3 = 825 |
275 x 8 = 2200 |
|
275 x 4 = 1100 |
275 x 9 = 2475 |
|
275 x 5 = 1375 |
275 x 10 = 2750 |
| TABLE OF 275 (11-20) | |
|---|---|
|
275 x 11 = 3025 |
275 x 16 = 4400 |
|
275 x 12 = 3300 |
275 x 17 = 4675 |
|
275 x 13 = 3575 |
275 x 18 = 4950 |
|
275 x 14 = 3850 |
275 x 19 = 5225 |
|
275 x 15 = 4125 |
275 x 20 = 5500 |
Now, we know the first few multiples of 275. They are 0, 275, 550, 825, 1100, 1375, 1650, 1925, 2200, 2475, 2750,...
Operations with Multiples of 275
Understanding the multiples of 275 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 275, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 275:
275, 550, 825, 1100, and 1375 are the first five multiples of 275. When multiplying 275 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
275 + 550 + 825 + 1100 + 1375 = 4125
When we add the first 5 multiples of 275, the answer will be 4125.
Subtraction of First 5 Multiples of 275
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 275, 550, 825, 1100, and 1375 are the first five multiples of 275. So, let us calculate it as given below:
275 - 550 = -275
-275 - 825 = -1100
-1100 - 1100 = -2200
-2200 - 1375 = -3575
Hence, the result of subtracting the first 5 multiples of 275 is -3575.
Average of First 5 Multiples of 275:
To calculate the average, we need to identify the sum of the first 5 multiples of 275 and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 275 is 4125.
275 + 550 + 825 + 1100 + 1375 = 4125
Next, divide the sum by 5:
4125 ÷ 5 = 825
825 is the average of the first 5 multiples of 275.
Product of First 5 Multiples of 275:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 275 include: 275, 550, 825, 1100, and 1375. Now, the product of these numbers is:
275 × 550 × 825 × 1100 × 1375 = 234,906,250,000
The product of the first 5 multiples of 275 is 234,906,250,000.
Division of First 5 Multiples of 275:
While we perform division, we get to know how many times 275 can fit into each of the given multiples. 275, 550, 825, 1100, and 1375 are the first 5 multiples of 275.
275 ÷ 275 = 1
550 ÷ 275 = 2
825 ÷ 275 = 3
1100 ÷ 275 = 4
1375 ÷ 275 = 5
The results of dividing the first 5 multiples of 275 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 275
While working with multiples of 275, 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 275. 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 275 refer to the products we get while multiplying 275 with other numbers. For example, multiples of 275 include 0, 275, 550, 825, 1100, 1375, 1650, 1925, 2200, 2475, 2750, etc.
The factors of 275 are 1, 5, 11, 25, 55, and 275. When 275 is divided by these numbers, the remainder will be zero. These are the factors of 275, meaning that these numbers can divide 275 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 275 include 275, 550, 825, 1100, 1375, 1650, 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 275, the result will still be a multiple of 275. For example, children may write: 275 + 550 = 825 (which is correct)
This is correct because 825 is a multiple of 275. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 275.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 275, and any other number, is zero, and it has a valid value. Remember this:
275 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 275 + 275 + 275 + 275 + 275. Instead of adding too many values, use multiplication. Calculate 275 × n for the nth multiple.
For example, instead of 275 + 275 + 275 + 275 + 275, calculate it as given below:
275 × 5 = 1375
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Multiples of 275 Examples
Problem 1
Jenny works at a printing press where she prints batches of 275 flyers every week. If she continues to print flyers at this rate for 6 weeks, how many flyers will she have printed in total?
1650 flyers
Explanation
Each week she prints 275 flyers. To find the total number of flyers after 6 weeks, multiply the number of flyers printed each week by the number of weeks.
Flyers printed each week = 275
Number of weeks = 6
275 × 6 = 1650
Jenny will have printed 1650 flyers in total after 6 weeks.
Problem 2
A group of artists is creating a mural made up of tiles. Each artist contributes tiles in quantities that are multiples of 275. If the first artist contributes 275 tiles, the second contributes 550 tiles, and the third contributes 825 tiles, how many tiles are contributed in total?
1650 tiles
Explanation
The tiles contributed by each artist are multiples of 275. Calculate the total by adding these contributions together.
First artist: 275 tiles
Second artist: 550 tiles
Third artist: 825 tiles
Total tiles = 275 + 550 + 825 = 1650
The artists contribute a total of 1650 tiles to the mural.
Problem 3
In a factory, machines are arranged in lines, with each line containing 275 machines. How many machines are there in total if there are 7 lines?
1925 machines
Explanation
To find the total number of machines, multiply the number of machines in each line by the number of lines.
Number of machines per line = 275
Number of lines = 7
275 × 7 = 1925
There are a total of 1925 machines in the factory.
Problem 4
A library receives a shipment of books every month, with each shipment containing 5 boxes. If each box contains 275 books, how many books does the library receive in total after 3 months?
4125 books
Explanation
To find the total number of books, first calculate the number of books per month and then multiply by the number of months.
Number of boxes per shipment = 5
Number of books per box = 275
Books per month = 5 × 275 = 1375
Number of months = 3
Total books = 1375 × 3 = 4125
The library receives a total of 4125 books after 3 months.
Problem 5
A cycling event awards points to participants in multiples of 275 based on their performance. If the top three cyclists earn 275, 550, and 825 points respectively, what is the total number of points awarded to these cyclists?
1650 points
Explanation
The points awarded to the cyclists are multiples of 275. Add these amounts to find the total points awarded.
First cyclist: 275 points
Second cyclist: 550 points
Third cyclist: 825 points
Total points = 275 + 550 + 825 = 1650
A total of 1650 points are awarded to the top three cyclists.
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FAQs on Multiples of 275
1.How do you find the multiples of 275?
2.What is the LCM of 275 and 11?
3.What are the real-life applications of multiples of 275?
4.Are multiples of 275 finite or infinite?
5.Is there any odd multiple of 275?
6.How can poems help children in Australia memorize the Multiplication Table and Multiples of 275?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 275 challenges for kids in Australia?
8.How do language and cultural differences in Australia affect the way children learn the Multiplication Table and Multiples of 275?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 275 among early learners in Australia?
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Important Glossaries for Multiples of 275
- Multiple: A multiple represents the product of a number that is multiplied by an integer. For example, multiples of 275 include 275, 550, 825, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 275 are the numbers that consist of the number pattern of 275.
- Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. Multiples of 275 can be odd or even.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 5, 11, 25, 55, and 275 are the divisors of 275.
- Product: The result of multiplying two or more numbers together. For instance, the product of 275 and 2 is 550.
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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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