178 LearnersLast updated on May 26th, 2025
Multiples of 270
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 270.
What are the Multiples of 270?
Now, let us learn more about multiples of 270. Multiples of 270 are the numbers you get when you multiply 270 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 270 can be denoted as 270 × 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 270 × 1 will give us 270 as the product. Multiples of 270 will be larger or equal to 270.
List of First 20 Multiples of 270
Multiples of 270 include the products of 270 and an integer. Multiples of 270 are divisible by 270 evenly. The first few multiples of 270 are given below:
| TABLE OF 270 (1-10) | |
|---|---|
|
270 x 1 = 270 |
270 x 6 = 1620 |
|
270 x 2 = 540 |
270 x 7 = 1890 |
|
270 x 3 = 810 |
270 x 8 = 2160 |
|
270 x 4 = 1080 |
270 x 9 = 2430 |
|
270 x 5 = 1350 |
270 x 10 = 2700 |
| TABLE OF 270 (11-20) | |
|---|---|
|
270 x 11 = 2970 |
270 x 16 = 4320 |
|
270 x 12 = 3240 |
270 x 17 = 4590 |
|
270 x 13 = 3510 |
270 x 18 = 4860 |
|
270 x 14 = 3780 |
270 x 19 = 5130 |
|
270 x 15 = 4050 |
270 x 20 = 5400 |
Now, we know the first few multiples of 270. They are 0, 270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430, 2700,...
Operations with Multiples of 270
Understanding the multiples of 270 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 270, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 270:
270, 540, 810, 1080, and 1350 are the first five multiples of 270. When multiplying 270 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
270 + 540 + 810 + 1080 + 1350 = 4050
When we add the first 5 multiples of 270, the answer will be 4050.
Subtraction of First 5 Multiples of 270:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 270, 540, 810, 1080, and 1350 are the first five multiples of 270. So, let us calculate it as given below:
270 - 540 = -270
-270 - 810 = -1080
-1080 - 1080 = -2160
-2160 - 1350 = -3510
Hence, the result of subtracting the first 5 multiples of 270 is -3510.
Average of First 5 Multiples of 270:
To calculate the average, we need to identify the sum of the first 5 multiples of 270 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 270 is 4050.
270 + 540 + 810 + 1080 + 1350 = 4050
Next, divide the sum by 5:
4050 ÷ 5 = 810
810 is the average of the first 5 multiples of 270.
Product of First 5 Multiples of 270:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 270 include: 270, 540, 810, 1080, and 1350. Now, the product of these numbers is:
270 × 540 × 810 × 1080 × 1350 = 4,368,037,800,000
The product of the first 5 multiples of 270 is 4,368,037,800,000.
Division of First 5 Multiples of 270:
While we perform division, we get to know how many times 270 can fit into each of the given multiples. 270, 540, 810, 1080, and 1350 are the first 5 multiples of 270.
270 ÷ 270 = 1
540 ÷ 270 = 2
810 ÷ 270 = 3
1080 ÷ 270 = 4
1350 ÷ 270 = 5
The results of dividing the first 5 multiples of 270 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 270
While working with multiples of 270, 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 270. 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 270 refer to the products we get while multiplying 270 with other numbers. For example, multiples of 270 include 0, 270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430, 2700…
The factors of 270 include numbers like 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270. When 270 is divided by any of these numbers, the remainder will be zero.
Multiples of 270 Examples
Problem 1
A cargo ship is transporting crates of electronics. Each crate holds 270 gadgets, and the ship makes a trip every month. If the ship makes 6 trips in half a year, how many gadgets will be transported in total?
1,620 gadgets
Explanation
Each month, the ship transports 270 gadgets. To find the total number of gadgets transported in 6 months, we multiply 270 by 6.
Gadgets per trip = 270
Number of trips = 6
270 × 6 = 1,620
Therefore, 1,620 gadgets will be transported in total.
Problem 2
Three friends, Alice, Bob, and Carol, are organizing a charity event. They plan to distribute food packages in multiples of 270. If Alice distributes 270 packages, Bob 540 packages, and Carol 810 packages, how many packages are distributed in total?
1,620 packages
Explanation
The multiples of 270 are 270, 540, and 810. Adding these gives the total number of packages distributed.
Alice: 270 packages
Bob: 540 packages
Carol: 810 packages
270 + 540 + 810 = 1,620
Therefore, a total of 1,620 packages are distributed.
Problem 3
A factory produces 270 widgets every week. If the factory operates for 8 weeks, how many widgets are produced in total?
2,160 widgets
Explanation
To calculate the total number of widgets produced, multiply the number of widgets produced per week by the number of weeks.
Widgets per week = 270
Number of weeks = 8
270 × 8 = 2,160
Therefore, the factory produces 2,160 widgets in total.
Problem 4
Jenny is planning a series of art installations. Each installation requires 270 pieces of material. If she completes 5 installations, how many pieces of material does she use?
1,350 pieces
Explanation
Multiply the number of pieces needed per installation by the number of installations to find the total pieces used.
Pieces per installation = 270
Number of installations = 5
270 × 5 = 1,350
Therefore, Jenny uses 1,350 pieces of material.
Problem 5
A company is organizing a conference and needs to arrange seating in sections, each containing 270 seats. If there are 4 sections, how many seats are available in total?
1,080 seats
Explanation
Multiply the number of seats per section by the number of sections to find the total number of seats.
Seats per section = 270
Number of sections = 4
270 × 4 = 1,080
Therefore, there are 1,080 seats available in total.
FAQs on Multiples of 270
1.How do you find the multiples of 270?
2.What is the LCM of 9 and 270?
3.What are the real-life applications of Multiples of 270?
4.Are multiples of 270 finite or infinite?
5.Is there any odd multiple of 270?
Important Glossaries for Multiples of 270
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 270 include 270, 540, 810, 1080, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 270 are the numbers that consist of the number pattern of 270.
- Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 270 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. The divisors of 270 include 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270.
- LCM (Least Common Multiple): The smallest multiple that two or more numbers share. For example, the LCM of 9 and 270 is 270.
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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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: She has songs for each table which helps her to remember the tables
