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107 LearnersLast updated on March 7th, 2025
Multiples of 216
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 216.
What are the Multiples of 216?
Now, let us learn more about multiples of 216. Multiples of 216 are the numbers you get when you multiply 216 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 216 can be denoted as 216 × 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 216 × 1 will give us 216 as the product. Multiples of 216 will be larger or equal to 216.
List of First 20 Multiples of 216
Multiples of 216 include the products of 216 and an integer. Multiples of 216 are divisible by 216 evenly. The first few multiples of 216 are given below:
Now, we know the first few multiples of 216. They are 0, 216, 432, 648, 864, 1080, 1296, 1512, 1728, 1944, 2160,...
Operations with Multiples of 216
Understanding the multiples of 216 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 216, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 216:
216, 432, 648, 864, and 1080 are the first five multiples of 216. When multiplying 216 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
216 + 432 + 648 + 864 + 1080 = 3240
When we add the first 5 multiples of 216 the answer will be 3240.
Subtraction of first 5 Multiples of 216:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 216, 432, 648, 864, and 1080 are the first five multiples of 216. So, let us calculate it as given below:
216 - 432 = -216
-216 - 648 = -864
-864 - 864 = -1728
-1728 - 1080 = -2808
Hence, the result of subtracting the first 5 multiples of 216 is -2808.
Average of first 5 Multiples of 216:
To calculate the average, we need to identify the sum of the first 5 multiples of 216, 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 216 is 3240.
216 + 432 + 648 + 864 + 1080 = 3240
Next, divide the sum by 5:
3240 ÷ 5 = 648
648 is the average of the first 5 multiples of 216.
Product of First 5 Multiples of 216:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 216 include: 216, 432, 648, 864, and 1080. Now, the product of these numbers is:
216 × 432 × 648 × 864 × 1080 = 43,046,721,024,000
The product of the first 5 multiples of 216 is 43,046,721,024,000.
Division of First 5 Multiples of 216:
While we perform division, we get to know how many times 216 can fit into each of the given multiples. 216, 432, 648, 864, and 1080 are the first 5 multiples of 216.
216 ÷ 216 = 1
432 ÷ 216 = 2
648 ÷ 216 = 3
864 ÷ 216 = 4
1080 ÷ 216 = 5
The results of dividing the first 5 multiples of 216 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 216
While working with multiples of 216, 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 216. 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 216 refer to the products we get while multiplying 216 with other numbers. For example, multiples of 216 include 0, 216, 432, 648, 864, 1080, 1296, 1512, 1728, 1944, 2160….
The factors of 216 are numbers like 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216 itself. These are the numbers that can divide 216 without leaving a remainder.
Factors of 216:
216 ÷ 1 = 216
216 ÷ 2 = 108
216 ÷ 3 = 72
216 ÷ 4 = 54
...
216 ÷ 216 = 1
Multiples of 216 Examples
Problem 1
A factory produces widgets in batches. Each batch contains 216 widgets. If the factory produces 5 batches in a week, how many widgets are produced in a month with 4 weeks?
4,320 widgets
Explanation
Each batch consists of 216 widgets. The factory produces 5 batches per week. To find the total number of widgets produced in a month, multiply the number of batches per week by the number of weeks, then multiply by the number of widgets per batch.
Widgets per batch = 216
Batches per week = 5
Number of weeks = 4
216 × 5 = 1,080 widgets per week
1,080 × 4 = 4,320 widgets in a month
The factory produces 4,320 widgets in a month.
Problem 2
A library organizes its books into sections, each containing a series of shelves. If each section holds 3 shelves, and each shelf accommodates 216 books, how many books are in 4 sections?
2,592 books
Explanation
Explanation: Each shelf holds 216 books. There are 3 shelves in each section. To find the total number of books in 4 sections, multiply the number of shelves per section by the number of sections, then multiply by the number of books per shelf.
Books per shelf = 216
Shelves per section = 3
Number of sections = 4
216 × 3 = 648 books per section
648 × 4 = 2,592 books in total
There are 2,592 books in 4 sections.
Problem 3
A concert hall has 216 seats per row. If the hall has 8 rows, how many seats are there in total?
1,728 seats
Explanation
To find the total number of seats, multiply the number of seats per row by the total number of rows.
Seats per row = 216
Number of rows = 8
216 × 8 = 1,728
Therefore, there are 1,728 seats in the concert hall.
Problem 4
A group of friends is organizing a marathon. They plan to distribute water bottles. Each volunteer hands out 216 water bottles. If there are 7 volunteers, how many water bottles are distributed in total?
1,512 water bottles
Explanation
To find the total number of water bottles distributed, multiply the number of bottles each volunteer hands out by the number of volunteers.
Bottles per volunteer = 216
Number of volunteers = 7
216 × 7 = 1,512
A total of 1,512 water bottles are distributed.
Problem 5
A school is setting up a computer lab with stations. Each station has 216 computers. If the school plans to set up 6 such stations, how many computers will there be in total?
1,296 computers
Explanation
To find the total number of computers, multiply the number of computers per station by the total number of stations.
Computers per station = 216
Number of stations = 6
216 × 6 = 1,296
Therefore, there will be 1,296 computers in total in the lab.
FAQs on Multiples of 216
1.How do you find the multiples of 216?
2.What is the LCM of 7 and 216?
3.What are the real-life applications of Multiples of 216?
4.Are multiples of 216 finite or infinite?
5.Is there any odd multiples of 216?
Important Glossaries for Multiples of 216
Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 216 include 216, 432, 648, 864, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 216 are the numbers that consist of the number pattern of 216.
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 216 are even numbers.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, and 216 are some of the divisors of 216.
Factor: A factor is a number that divides another number completely without leaving a remainder. For example, 1, 2, 3, 4, 6,...216 are factors of 216.
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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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: She has songs for each table which helps her to remember the tables
