111 LearnersLast updated on May 26th, 2025
Multiples of 165
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 165.
What are the Multiples of 165?
Now, let us learn more about multiples of 165. Multiples of 165 are the numbers you get when you multiply 165 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 165 can be denoted as 165 × 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 165 × 1 will give us 165 as the product. Multiples of 165 will be larger or equal to 165.
List of First 20 Multiples of 165
Multiples of 165 include the products of 165 and an integer. Multiples of 165 are divisible by 165 evenly. The first few multiples of 165 are given below:
| TABLE OF 165 (1-10) | |
|---|---|
|
165 x 1 = 165 |
165 x 6 = 990 |
|
165 x 2 = 330 |
165 x 7 = 1155 |
|
165 x 3 = 495 |
165 x 8 = 1320 |
|
165 x 4 = 660 |
165 x 9 = 1485 |
|
165 x 5 = 825 |
165 x 10 = 1650 |
| TABLE OF 165 (11-20) | |
|---|---|
|
165 x 11 = 1815 |
165 x 16 = 2640 |
|
165 x 12 = 1980 |
165 x 17 = 2805 |
|
165 x 13 = 2145 |
165 x 18 = 2970 |
|
165 x 14 = 2310 |
165 x 19 = 3135 |
|
165 x 15 = 2475 |
165 x 20 = 3300 |
Now, we know the first few multiples of 165. They are 0, 165, 330, 495, 660, 825, 990, 1155, 1320, 1485, 1650,...
Operations with Multiples of 165
Understanding the multiples of 165 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 165, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 165:
165, 330, 495, 660, and 825 are the first five multiples of 165. When multiplying 165 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
165 + 330 + 495 + 660 + 825 = 2475
When we add the first 5 multiples of 165, the answer will be 2475.
Subtraction of First 5 Multiples of 165:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 165, 330, 495, 660, and 825 are the first five multiples of 165. So, let us calculate it as given below:
165 - 330 = -165
-165 - 495 = -660
-660 - 660 = -1320
-1320 - 825 = -2145
Hence, the result of subtracting the first 5 multiples of 165 is -2145.
Average of First 5 Multiples of 165:
To calculate the average, we need to identify the sum of the first 5 multiples of 165 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 165 is 2475.
165 + 330 + 495 + 660 + 825 = 2475
Next, divide the sum by 5:
2475 ÷ 5 = 495
495 is the average of the first 5 multiples of 165.
Product of First 5 Multiples of 165:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 165 include: 165, 330, 495, 660, and 825. Now, the product of these numbers is:
165 × 330 × 495 × 660 × 825 = 22,609,818,750,000
The product of the first 5 multiples of 165 is 22,609,818,750,000.
Division of First 5 Multiples of 165:
While we perform division, we get to know how many times 165 can fit into each of the given multiples. 165, 330, 495, 660, and 825 are the first 5 multiples of 165.
165 ÷ 165 = 1
330 ÷ 165 = 2
495 ÷ 165 = 3
660 ÷ 165 = 4
825 ÷ 165 = 5
The results of dividing the first 5 multiples of 165 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 165
While working with multiples of 165, 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 165. 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 165 refer to the products we get while multiplying 165 with other numbers. For example, multiples of 165 include 0, 165, 330, 495, 660, 825, 990, 1155, 1320, 1485, 1650,…
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, and 165. When 165 is divided by these numbers, the remainder will be zero. These are the factors of 165 meaning that these numbers can divide 165 without any remainder.
Factors of 165:
165 ÷ 1 = 165
165 ÷ 3 = 55
165 ÷ 5 = 33
165 ÷ 11 = 15
Multiples of 165 Examples
Problem 1
In a factory, machines produce batches of widgets. Each batch contains 165 widgets. If the factory produces 5 batches in a week, how many widgets are produced in total after 6 weeks?
4950 widgets
Explanation
Each week, the factory produces 5 batches of 165 widgets. To find the total number of widgets produced after 6 weeks, we multiply the number of widgets in one batch by the number of batches per week and then by the number of weeks.
Widgets per batch = 165
Batches per week = 5
Number of weeks = 6
165 × 5 × 6 = 4950
The factory produces 4950 widgets in total after 6 weeks.
Problem 2
A music festival sells tickets in packs that contain 165 tickets each. If three different event organizers buy tickets in the series of the first three multiples of 165, how many tickets does each organizer buy?
The first three multiples of 165 are 165, 330, and 495. The first organizer buys 165 tickets, the second buys 330 tickets, and the third buys 495 tickets.
Explanation
The multiples of 165 are calculated as follows:
165 × 1 = 165
165 × 2 = 330
165 × 3 = 495
Hence, the first organizer buys 165 tickets. The second and third organizers buy 330 and 495 tickets, respectively.
Problem 3
A company has a policy of donating 165 books to libraries every month. If they donate to 7 libraries each month, how many books do they donate in total over 3 months?
3465 books
Explanation
Each month, the company donates 165 books to 7 libraries. To find the total number of books donated over 3 months, multiply the number of books per library by the number of libraries and then by the number of months.
Books per library = 165
Number of libraries = 7
Number of months = 3
165 × 7 × 3 = 3465
The company donates a total of 3465 books over 3 months.
Problem 4
A gardener is planting trees in a park. There are 3 sections, and each section receives a number of trees following the multiples of 165. How many trees are planted in each section if they follow the sequence of the second, third, and fourth multiples of 165?
The second, third, and fourth multiples of 165 are 330, 495, and 660. The first section receives 330 trees, the second receives 495 trees, and the third receives 660 trees.
Explanation
The multiples of 165 are calculated as follows:
165 × 2 = 330
165 × 3 = 495
165 × 4 = 660
Therefore, the sections receive 330, 495, and 660 trees, respectively.
Problem 5
An art gallery displays paintings in sets. Each set contains 165 paintings. If the gallery has 4 different rooms, and each room holds a number of sets following the sequence of the first four multiples of 165, how many paintings are displayed in each room?
The first four multiples of 165 are 165, 330, 495, and 660. The rooms display 165, 330, 495, and 660 paintings respectively.
Explanation
The multiples of 165 are calculated as follows:
165 × 1 = 165
165 × 2 = 330
165 × 3 = 495
165 × 4 = 660
Thus, the rooms display 165, 330, 495, and 660 paintings, respectively.
FAQs on Multiples of 165
1.How do you find the multiples of 165?
2.What is the LCM of 5 and 165?
3.What are the real-life applications of Multiples of 165?
4.Are multiples of 165 finite or infinite?
5.Is there any odd multiple of 165?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 165?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 165 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 165?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 165 among early learners in Vietnam?
Important Glossaries for Multiples of 165
- Multiple: A multiple represents the product of a number that is multiplied by an integer. For example, multiples of 165 include 165, 330, 495, 660, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 165 are the numbers that consist of the number pattern of 165.
- Odd number: An odd number refers to any number that is not divisible by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. All multiples of 165 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving a remainder. 1, 3, 5, 11, 15, 33, 55, and 165 are the divisors of 165.
- LCM: Least Common Multiple is the smallest multiple that is exactly divisible by each number in a set of numbers.
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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
