111 LearnersLast updated on May 26th, 2025
Multiples of 162
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.
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.
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,...
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.
Common Mistakes and How to Avoid Them in Multiples of 162
While working with multiples of 162, 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 162. 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 162 refer to the products we get while multiplying 162 with other numbers. For example, multiples of 162 include 0, 162, 324, 486, 648, 810, 972, 1134, 1296...
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162. When 162 is divided by these numbers, the remainder will be zero. These are the factors of 162, meaning that these numbers can divide 162 without any remainder.
Factors of 162:
162 ÷ 1 = 162
162 ÷ 2 = 81
162 ÷ 3 = 54
162 ÷ 6 = 27
Multiples of 162 Examples
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?
2,430 widgets
Explanation
Each week, 5 batches are produced, with each batch containing 162 widgets. To find the total number of widgets produced in 3 weeks, multiply the number of widgets per batch by the number of batches and then by the number of weeks.
Widgets per batch = 162
Batches per week = 5
Number of weeks = 3
162 × 5 × 3 = 2,430
Therefore, the factory will produce 2,430 widgets in 3 weeks.
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?
486 people
Explanation
Each row accommodates 162 people. Since there are 3 events and each has the same number of attendees, multiply the number of people per event by the number of events.
People per event = 162
Number of events = 3
162 × 3 = 486
Thus, a total of 486 people attended all events combined.
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?
1,296 items
Explanation
Each box contains 162 items. To find the total number of items needed, multiply the number of items per box by the number of families.
Items per box = 162
Number of families = 8
162 × 8 = 1,296
Therefore, 1,296 items are needed in total for all families.
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?
648 books
Explanation
Each shelf contains 162 books. To find the total number of books, multiply the number of books per shelf by the number of shelves.
Books per shelf = 162
Number of shelves = 4
162 × 4 = 648
Hence, there are 648 books in total in this section of the library
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?
1,134 pieces of gear
Explanation
Each set contains 162 pieces of gear. To find the total number of pieces, multiply the number of pieces per set by the number of sets.
Pieces per set = 162
Number of sets = 7
162 × 7 = 1,134
Therefore, the store stocks a total of 1,134 pieces of gear.
FAQs on Multiples of 162
1.How do you find the multiples of 162?
2.What is the LCM of 81 and 162?
3.What are the real-life applications of Multiples of 162?
4.Are multiples of 162 finite or infinite?
5.Is there any odd multiples of 162?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 162?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 162 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 162?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 162 among early learners in Vietnam?
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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