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114 LearnersLast updated on February 11th, 2025
Multiples of 272
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 272.
What are the Multiples of 272?
Now, let us learn more about multiples of 272. Multiples of 272 are the numbers you get when you multiply 272 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 272 can be denoted as 272 × 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 272 × 1 will give us 272 as the product. Multiples of 272 will be larger or equal to 272.
List of First 20 Multiples of 272
Multiples of 272 include the products of 272 and an integer. Multiples of 272 are divisible by 272 evenly. The first few multiples of 272 are given below:
| TABLE OF 272 (1-10) | |
|---|---|
|
272 x 1 = 272 |
272 x 6 = 1632 |
|
272 x 2 = 544 |
272 x 7 = 1904 |
|
272 x 3 = 816 |
272 x 8 = 2176 |
|
272 x 4 = 1088 |
272 x 9 = 2448 |
|
272 x 5 = 1360 |
272 x 10 = 2720 |
| TABLE OF 272 (11-20) | |
|---|---|
|
272 x 11 = 2992 |
272 x 16 = 4352 |
|
272 x 12 = 3264 |
272 x 17 = 4624 |
|
272 x 13 = 3536 |
272 x 18 = 4896 |
|
272 x 14 = 3808 |
272 x 19 = 5168 |
|
272 x 15 = 4080 |
272 x 20 = 5440 |
Now, we know the first few multiples of 272. They are 0, 272, 544, 816, 1088, 1360, 1632, 1904, 2176, 2448, 2720,...
Operations with Multiples of 272
Understanding the multiples of 272 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 272, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 272:
272, 544, 816, 1088, and 1360 are the first five multiples of 272. When multiplying 272 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
272 + 544 + 816 + 1088 + 1360 = 4080
When we add the first 5 multiples of 272, the answer will be 4080.
Subtraction of first 5 Multiples of 272:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 272, 544, 816, 1088, and 1360 are the first five multiples of 272. So, let us calculate it as given below:
272 - 544 = -272
-272 - 816 = -1088
-1088 - 1088 = -2176
-2176 - 1360 = -3536
Hence, the result of subtracting the first 5 multiples of 272 is -3536.
Average of first 5 Multiples of 272:
To calculate the average, we need to identify the sum of the first 5 multiples of 272, 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 272 is 4080.
272 + 544 + 816 + 1088 + 1360 = 4080
Next, divide the sum by 5:
4080 ÷ 5 = 816
816 is the average of the first 5 multiples of 272.
Product of First 5 Multiples of 272:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 272 include: 272, 544, 816, 1088, and 1360. Now, the product of these numbers is:
272 × 544 × 816 × 1088 × 1360 = 284,302,581,760
The product of the first 5 multiples of 272 is 284,302,581,760.
Division of First 5 Multiples of 272:
While we perform division, we get to know how many times 272 can fit into each of the given multiples. 272, 544, 816, 1088, and 1360 are the first 5 multiples of 272.
272 ÷ 272 = 1
544 ÷ 272 = 2
816 ÷ 272 = 3
1088 ÷ 272 = 4
1360 ÷ 272 = 5
The results of dividing the first 5 multiples of 272 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 272
While working with multiples of 272, 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 272. 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 272 refer to the products we get while multiplying 272 with other numbers. For example, multiples of 272 include 0, 272, 544, 816, 1088, 1360, 1632, 1904, 2176, 2448, 2720,…
The factors of 272 include numbers that can divide 272 without any remainder.
Multiples of 272 Examples
Problem 1
In a large office building, maintenance is scheduled every 272 days. If the building has been operational for 4 cycles of maintenance, how many days has it been operating?
1088 days
Explanation
The maintenance cycle repeats every 272 days. To find out how many days the building has been operational, multiply the number of cycles by the length of each cycle.
Days per cycle = 272
Number of cycles = 4
272 × 4 = 1088
The building has been operational for 1088 days.
Problem 2
A publishing company prints books in batches. Each batch contains 272 books. If the company has completed 3 batches, how many books have they printed in total?
816 books
Explanation
The company prints 272 books per batch. To find the total number of books printed after 3 batches, multiply the number of books per batch by the number of batches.
Books per batch = 272
Number of batches = 3
272 × 3 = 816
The company has printed 816 books in total.
Problem 3
A garden center receives shipments of 272 plants every month. After 5 months, how many plants will the garden center have received?
1360 plants
Explanation
The garden center receives 272 plants each month. To determine the total number of plants received after 5 months, multiply the number of plants per month by the number of months.
Plants per month = 272
Number of months = 5
272 × 5 = 1360
The garden center will have received 1360 plants.
Problem 4
A concert hall has 272 seats in each section. There are 6 sections in total. How many seats are there in the concert hall?
1632 seats
Explanation
Each section of the concert hall contains 272 seats. To find the total number of seats, multiply the number of seats per section by the number of sections.
Seats per section = 272
Number of sections = 6
272 × 6 = 1632
There are 1632 seats in the concert hall.
Problem 5
An artist is creating a mosaic using tiles. Each box of tiles contains 272 pieces. If the artist uses 7 boxes, how many tiles are used in total?
1904 tiles
Explanation
The artist uses 272 tiles per box. To find the total number of tiles used, multiply the number of tiles per box by the number of boxes used.
Tiles per box = 272
Number of boxes = 7
272 × 7 = 1904
The artist uses 1904 tiles in total.
FAQs on Multiples of 272
1.How do you find the multiples of 272?
2.What is the LCM of 7 and 272?
3.What are the real-life applications of Multiples of 272?
4.Are multiples of 272 finite or infinite?
5.Is there any odd multiples of 272?
Important Glossaries for Multiples of 272
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 272 include 272, 544, 816, 1088, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 272 are the numbers that consist of the number pattern of 272.
- 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 272 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. Factors of 272 include numbers that can divide 272 without any remainder.
- LCM (Least Common Multiple): The smallest common multiple of two or more numbers. For example, the LCM of 7 and 272 is 1904.
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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
