171 LearnersLast updated on May 26th, 2025
Multiples of 135
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 135.
What are the Multiples of 135?
Now, let us learn more about multiples of 135. Multiples of 135 are the numbers you get when you multiply 135 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 135 can be denoted as 135 × 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 135 × 1 will give us 135 as the product. Multiples of 135 will be larger or equal to 135.
List of First 20 Multiples of 135
Multiples of 135 include the products of 135 and an integer. Multiples of 135 are divisible by 135 evenly. The first few multiples of 135 are given below:
| TABLE OF 135 (1-10) | |
|---|---|
|
135 x 1 = 135 |
135 x 6 = 810 |
|
135 x 2 = 270 |
135 x 7 = 945 |
|
135 x 3 = 405 |
135 x 8 = 1080 |
|
135 x 4 = 540 |
135 x 9 = 1215 |
|
135 x 5 = 675 |
135 x 10 = 1350 |
| TABLE OF 135 (11-20) | |
|---|---|
|
135 x 11 = 1485 |
135 x 16 = 2160 |
|
135 x 12 = 1620 |
135 x 17 = 2295 |
|
135 x 13 = 1755 |
135 x 18 = 2430 |
|
135 x 14 = 1890 |
135 x 19 = 2565 |
|
135 x 15 = 2025 |
135 x 20 = 2700 |
Now, we know the first few multiples of 135. They are 0, 135, 270, 405, 540, 675, 810, 945, 1080, 1215, 1350,...
Operations with Multiples of 135
Understanding the multiples of 135 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 135, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of the first 5 Multiples of 135:
135, 270, 405, 540, and 675 are the first five multiples of 135. When multiplying 135 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
135 + 270 + 405 + 540 + 675 = 2025
When we add the first 5 multiples of 135, the answer will be 2025.
Subtraction of the first 5 Multiples of 135:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 135, 270, 405, 540, and 675 are the first five multiples of 135. So, let us calculate it as given below:
135 - 270 = -135
-135 - 405 = -540
-540 - 540 = -1080
-1080 - 675 = -1755
Hence, the result of subtracting the first 5 multiples of 135 is -1755.
Average of the first 5 Multiples of 135:
To calculate the average, we need to identify the sum of the first 5 multiples of 135, 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 135 is 2025.
135 + 270 + 405 + 540 + 675 = 2025
Next, divide the sum by 5:
2025 ÷ 5 = 405
405 is the average of the first 5 multiples of 135.
Product of the First 5 Multiples of 135:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 135 include: 135, 270, 405, 540, and 675. Now, the product of these numbers is:
135 × 270 × 405 × 540 × 675 = 13,343,948,625,000
The product of the first 5 multiples of 135 is 13,343,948,625,000.
Division of the First 5 Multiples of 135:
While we perform division, we get to know how many times 135 can fit into each of the given multiples. 135, 270, 405, 540, and 675 are the first 5 multiples of 135.
135 ÷ 135 = 1
270 ÷ 135 = 2
405 ÷ 135 = 3
540 ÷ 135 = 4
675 ÷ 135 = 5
The results of dividing the first 5 multiples of 135 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 135
While working with Multiples of 135, 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 135. 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 135 refer to the products we get while multiplying 135 with other numbers. For example, multiples of 135 include 0, 135, 270, 405, 540, 675, 810, 945, 1080, 1215, 1350,….
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, and 135. When 135 is divided by 1, 3, 5, 9, 15, 27, 45, and 135, the remainder will be zero. These are the factors of 135, meaning that these numbers can divide 135 without any remainder.
Factors of 135:
135 ÷ 1 = 135
135 ÷ 3 = 45
135 ÷ 5 = 27
135 ÷ 9 = 15
135 ÷ 15 = 9
135 ÷ 27 = 5
135 ÷ 45 = 3
135 ÷ 135 = 1
Multiples of 135 Examples
Problem 1
Elena is organizing a community event where each participant receives 135 flyers to distribute. If 5 community leaders are involved in distributing these flyers, how many flyers will they distribute in total?
675 flyers
Explanation
Each community leader distributes 135 flyers. To find the total number of flyers distributed by 5 leaders, we multiply:
Flyers per leader = 135
Number of leaders = 5
135 × 5 = 675
They will distribute a total of 675 flyers.
Problem 2
A factory produces batches of widgets, each containing 135 units. Over a week, the factory produces the first three multiples of 135 batches. How many widgets are produced in total during that week?
810 widgets
Explanation
The first three multiples of 135 are 135, 270, and 405. The total number of widgets is:
135 × 1 = 135
135 × 2 = 270
135 × 3 = 405
Total widgets = 135 + 270 + 405 = 810
Problem 3
In a library, there are 135 books in each of the 7 sections. How many books are there in total in the library?
945 books
Explanation
To find the total number of books, multiply the number of sections by the number of books in each section:
Number of sections = 7
Books per section = 135
135 × 7 = 945
Therefore, there are 945 books in total in the library.
Problem 4
A concert hall has 9 rows, each with 135 seats. How many seats are there in total in the concert hall?
1215 seats
Explanation
To find the total number of seats, multiply the number of rows by the number of seats in each row:
Number of rows = 9
Seats per row = 135
9 × 135 = 1215
So, there are 1215 seats in total in the concert hall.
Problem 5
Leo is stacking boxes in a warehouse. The first stack contains 135 boxes, the second stack has 270 boxes, and the third stack has 405 boxes. How many boxes are there in total?
810 boxes
Explanation
The first stack has 135 boxes, the second one has 270, and the third one has 405. So, the total number of boxes is:
135 + 270 + 405 = 810
Therefore, there are a total of 810 boxes in the warehouse.
FAQs on Multiples of 135
1.How do you find the multiples of 135?
2.What is the LCM of 7 and 135?
3.What are the real-life applications of Multiples of 135?
4.Are multiples of 135 finite or infinite?
5.Is there any odd multiples of 135?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 135?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 135 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 135?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 135 among early learners in Vietnam?
Important Glossaries for Multiples of 135
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 135 include 135, 270, 405, 540, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 135 are the numbers that consist of the number pattern of 135.
- Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. All multiples of 135 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 5, 9, 15, 27, 45, and 135 are the divisors of 135.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by every number in a set. For example, the LCM of 7 and 135 is 945.
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Seyed Ali Fathima S
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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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