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Last updated on March 28th, 2025

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Multiples of 162

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Foundation
Intermediate
Advance Topics

In math, multiples are the products we get when multiplying a number by 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 162.

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What are the Multiples of 162?

Now, let us learn more about multiples of 162. Multiples of 162 are the numbers you get when you multiply 162 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 162 can be denoted as 162 × 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 162 × 1 will give us 162 as the product. Multiples of 162 will be larger or equal to 162.

multiples of 162
 

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List of First 20 Multiples of 162

Multiples of 162 include the products of 162 and an integer. Multiples of 162 are divisible by 162 evenly. The first few multiples of 162 are given below:

 

TABLE OF 162 (1-10)

162 x 1 = 162

162 x 6 = 972

162 x 2 = 324

162 x 7 = 1134

162 x 3 = 486

162 x 8 = 1296

162 x 4 = 648

162 x 9 = 1458

162 x 5 = 810

162 x 10 = 1620

 

TABLE OF 162 (11-20)

162 x 11 = 1782

162 x 16 = 2592

162 x 12 = 1944

162 x 17 = 2754

162 x 13 = 2106

162 x 18 = 2916

162 x 14 = 2268

162 x 19 = 3078

162 x 15 = 2430

162 x 20 = 3240

 

Now, we know the first few multiples of 162. They are 0, 162, 324, 486, 648, 810, 972, 1134, 1296, 1458, 1620,...
 

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Operations with Multiples of 162

Understanding the multiples of 162 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 162, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 162

 

162, 324, 486, 648, and 810 are the first five multiples of 162. When multiplying 162 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:

 

162 + 324 + 486 + 648 + 810 = 2430

 

When we add the first 5 multiples of 162, the answer will be 2430.

 

Subtraction of First 5 Multiples of 162

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 162, 324, 486, 648, and 810 are the first five multiples of 162. So, let us calculate it as given below:

 

162 - 324 = -162  
-162 - 486 = -648  
-648 - 648 = -1296  
-1296 - 810 = -2106  

 

Hence, the result of subtracting the first 5 multiples of 162 is -2106.

 

Average of First 5 Multiples of 162

 

To calculate the average, we need to identify the sum of the first 5 multiples of 162, 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 162 is 2430.

 

162 + 324 + 486 + 648 + 810 = 2430  


Next, divide the sum by 5:  


2430 ÷ 5 = 486  

 

486 is the average of the first 5 multiples of 162.

 

Product of First 5 Multiples of 162

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 162 include: 162, 324, 486, 648, and 810. Now, the product of these numbers is:

 

162 × 324 × 486 × 648 × 810 = 18,448,202,444,800

 

The product of the first 5 multiples of 162 is 18,448,202,444,800.

 

Division of First 5 Multiples of 162

 

While we perform division, we get to know how many times 162 can fit into each of the given multiples. 162, 324, 486, 648, and 810 are the first 5 multiples of 162.

 

162 ÷ 162 = 1  
324 ÷ 162 = 2  
486 ÷ 162 = 3  
648 ÷ 162 = 4  
810 ÷ 162 = 5  

 

The results of dividing the first 5 multiples of 162 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 162

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Multiples of 162 Examples

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Problem 1

In a factory, machines are producing widgets in batches. Each batch contains 162 widgets. If the factory produces 5 batches every week, how many widgets will the factory produce in 3 weeks?

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Explanation

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Problem 2

A concert venue has rows of seats that can each accommodate 162 people. If 3 events are held at the venue on different days, and all seats are filled during each event, how many people attended all events combined?

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Explanation

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Problem 3

A charity organization is packing food boxes for distribution. Each box contains 162 items. If they prepare boxes for 8 families, how many items are needed in total?

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Explanation

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Problem 4

In a library, a special section has 162 books per shelf. If there are 4 shelves in this section, how many books are there in total?

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Explanation

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Problem 5

A sports store is stocking equipment in sets. Each set contains 162 pieces of gear. If they receive shipments of 7 sets, how many pieces of gear do they stock in total?

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Explanation

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FAQs on Multiples of 162

1.How do you find the multiples of 162?

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2.What is the LCM of 81 and 162?

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3.What are the real-life applications of Multiples of 162?

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4.Are multiples of 162 finite or infinite?

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5.Is there any odd multiples of 162?

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Important Glossary for Multiples of 162

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 162 include 162, 324, 486, 648, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 162 are the numbers that consist of the number pattern of 162.
     
  • 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 162 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. Factors of 162 include numbers like 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162.
     
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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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