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120 LearnersLast updated on February 11th, 2025
Multiples of 280
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 280.
What are the Multiples of 280?
Now, let us learn more about multiples of 280. Multiples of 280 are the numbers you get when you multiply 280 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 280 can be denoted as 280 × 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 280 × 1 will give us 280 as the product. Multiples of 280 will be larger or equal to 280.
List of First 20 Multiples of 280
Multiples of 280 include the products of 280 and an integer. Multiples of 280 are divisible by 280 evenly. The first few multiples of 280 are given below:
| TABLE OF 280 (1-10) | |
|---|---|
|
280 x 1 = 280 |
280 x 6 = 1680 |
|
280 x 2 = 560 |
280 x 7 = 1960 |
|
280 x 3 = 840 |
280 x 8 = 2240 |
|
280 x 4 = 1120 |
280 x 9 = 2520 |
|
280 x 5 = 1400 |
280 x 10 = 2800 |
| TABLE OF 280 (11-20) | |
|---|---|
|
280 x 11 = 3080 |
280 x 16 = 4480 |
|
280 x 12 = 3360 |
280 x 17 = 4760 |
|
280 x 13 = 3640 |
280 x 18 = 5040 |
|
280 x 14 = 3920 |
280 x 19 = 5320 |
|
280 x 15 = 4200 |
280 x 20 = 5600 |
Now, we know the first few multiples of 280. They are 0, 280, 560, 840, 1120, 1400, 1680, 1960, 2240, 2520, 2800,...
Operations with Multiples of 280
Understanding the multiples of 280 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 280, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 280:
280, 560, 840, 1120, and 1400 are the first five multiples of 280. When multiplying 280 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
280 + 560 + 840 + 1120 + 1400 = 4200
When we add the first 5 multiples of 280, the answer will be 4200.
Subtraction of first 5 Multiples of 280:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 280, 560, 840, 1120, and 1400 are the first five multiples of 280. So, let us calculate it as given below:
280 - 560 = -280
-280 - 840 = -1120
-1120 - 1120 = -2240
-2240 - 1400 = -3640
Hence, the result of subtracting the first 5 multiples of 280 is -3640.
Average of first 5 Multiples of 280:
To calculate the average, we need to identify the sum of the first 5 multiples of 280, 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 280 is 4200.
280 + 560 + 840 + 1120 + 1400 = 4200
Next, divide the sum by 5:
4200 ÷ 5 = 840
840 is the average of the first 5 multiples of 280.
Product of First 5 Multiples of 280:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 280 include: 280, 560, 840, 1120, and 1400. Now, the product of these numbers is:
280 × 560 × 840 × 1120 × 1400 = 147,197,952,000,000
The product of the first 5 multiples of 280 is 147,197,952,000,000.
Division of First 5 Multiples of 280:
While we perform division, we get to know how many times 280 can fit into each of the given multiples. 280, 560, 840, 1120, and 1400 are the first 5 multiples of 280.
280 ÷ 280 = 1
560 ÷ 280 = 2
840 ÷ 280 = 3
1120 ÷ 280 = 4
1400 ÷ 280 = 5
The results of dividing the first 5 multiples of 280 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 280
While working with multiples of 280, 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 280. 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 280 refer to the products we get while multiplying 280 with other numbers. For example, multiples of 280 include 0, 280, 560, 840, 1120, 1400, 1680, 1960, 2240, 2520, 2800,….
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280. These numbers can divide 280 without any remainder.
Multiples of 280 Examples
Problem 1
A shipping company is transporting goods in containers. Each container holds 280 boxes. If the company sends out shipments for 5 consecutive days, how many boxes will they have transported by the end of the 5 days?
1400 boxes
Explanation
Each day, they ship 280 boxes. To find the total number of boxes shipped after 5 days, multiply 280 by 5.
Boxes shipped each day = 280
Number of days = 5
280 × 5 = 1400
They will have transported 1400 boxes by the end of the 5 days.
Problem 2
A factory produces machines in batches, and each batch contains the first three multiples of 280 machines. How many machines are in each of these batches?
The first three multiples of 280 are 280, 560, and 840. The first batch contains 280 machines, the second has 560 machines, and the third has 840 machines.
Explanation
The first three multiples of 280 are:
280 × 1 = 280
280 × 2 = 560
280 × 3 = 840
Therefore, the batches contain 280, 560, and 840 machines respectively.
Problem 3
A large dining hall has 280 tables, and each table can seat 280 guests. How many guests can be accommodated in total?
78,400 guests
Explanation
To find the total number of guests that can be accommodated, multiply the number of tables by the number of guests per table.
Number of tables = 280
Number of guests per table = 280
280 × 280 = 78,400
Therefore, the dining hall can accommodate 78,400 guests in total.
Problem 4
An artist is creating a mural made up of 4 panels. Each panel consists of 280 individual tiles. How many tiles are used in total to complete the mural?
1120 tiles
Explanation
To find the total number of tiles, multiply the number of panels by the number of tiles per panel.
Number of panels = 4
Number of tiles per panel = 280
4 × 280 = 1120
So, a total of 1120 tiles are used to complete the mural.
Problem 5
A publishing house prints books in cycles. In the first cycle, they print 280 books, in the second cycle, they print 560 books, and in the third cycle, they print 840 books. How many books are printed in total across all three cycles?
1680 books
Explanation
In each cycle, they print books according to the multiples of 280:
First cycle = 280
Second cycle = 560
Third cycle = 840
280 + 560 + 840 = 1680
Therefore, a total of 1680 books are printed across all three cycles.
FAQs on Multiples of 280
1.How do you find the multiples of 280?
2.What is the LCM of 7 and 280?
3.What are the real-life applications of Multiples of 280?
4.Are multiples of 280 finite or infinite?
5.Is there any odd multiple of 280?
Important Glossaries for Multiples of 280
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 280 include 280, 560, 840, 1120, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 280 are the numbers that consist of the number pattern of 280.
- 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 280 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280 are the divisors of 280.
- LCM (Least Common Multiple): The smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 280 is 280.
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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.
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