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Last updated on March 28th, 2025

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Multiples of 165

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Foundation
Intermediate
Advance Topics

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.

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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.

multiples of 165
 

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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,...
 

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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.
 

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Common Mistakes and How to Avoid Them in Multiples of 165

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Multiples of 165 Examples

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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FAQs on Multiples of 165

1.How do you find the multiples of 165?

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2.What is the LCM of 5 and 165?

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3.What are the real-life applications of Multiples of 165?

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4.Are multiples of 165 finite or infinite?

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5.Is there any odd multiple of 165?

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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.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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