138 LearnersLast updated on May 26th, 2025
Multiples of 360
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 360.
What are the Multiples of 360?
Now, let us learn more about multiples of 360. Multiples of 360 are the numbers you get when you multiply 360 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 360 can be denoted as 360 × 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 360 × 1 will give us 360 as the product. Multiples of 360 will be larger or equal to 360.
List of First 20 Multiples of 360
Multiples of 360 include the products of 360 and an integer. Multiples of 360 are divisible by 360 evenly. The first few multiples of 360 are given below:
| TABLE OF 360 (1-10) | |
|---|---|
|
360 x 1 = 360 |
360 x 6 = 2160 |
|
360 x 2 = 720 |
360 x 7 = 2520 |
|
360 x 3 = 1080 |
360 x 8 = 2880 |
|
360 x 4 = 1440 |
360 x 9 = 3240 |
|
360 x 5 = 1800 |
360 x 10 = 3600 |
| TABLE OF 360 (11-20) | |
|---|---|
|
360 x 11 = 3960 |
360 x 16 = 5760 |
|
360 x 12 = 4320 |
360 x 17 = 6120 |
|
360 x 13 = 4680 |
360 x 18 = 6480 |
|
360 x 14 = 5040 |
360 x 19 = 6840 |
|
360 x 15 = 5400 |
360 x 20 = 7200 |
Now, we know the first few multiples of 360. They are 0, 360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600,...
Operations with Multiples of 360
Understanding the multiples of 360 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 360, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 360:
360, 720, 1080, 1440, and 1800 are the first five multiples of 360. When multiplying 360 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
360 + 720 + 1080 + 1440 + 1800 = 5400
When we add the first 5 multiples of 360, the answer will be 5400.
Subtraction of first 5 Multiples of 360:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 360, 720, 1080, 1440, and 1800 are the first five multiples of 360. So, let us calculate it as given below:
360 - 720 = -360
-360 - 1080 = -1440
-1440 - 1440 = -2880
-2880 - 1800 = -4680
Hence, the result of subtracting the first 5 multiples of 360 is -4680.
Average of first 5 Multiples of 360:
To calculate the average, we need to identify the sum of the first 5 multiples of 360 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 360 is 5400.
360 + 720 + 1080 + 1440 + 1800 = 5400
Next, divide the sum by 5:
5400 ÷ 5 = 1080
1080 is the average of the first 5 multiples of 360.
Product of First 5 Multiples of 360:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 360 include: 360, 720, 1080, 1440, and 1800. Now, the product of these numbers is:
360 × 720 × 1080 × 1440 × 1800 = 3,670,041,600,000,000
The product of the first 5 multiples of 360 is
3,670,041,600,000,000.
Division of First 5 Multiples of 360:
While we perform division, we get to know how many times 360 can fit into each of the given multiples. 360, 720, 1080, 1440, and 1800 are the first 5 multiples of 360.
360 ÷ 360 = 1
720 ÷ 360 = 2
1080 ÷ 360 = 3
1440 ÷ 360 = 4
1800 ÷ 360 = 5
The results of dividing the first 5 multiples of 360 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 360
While working with Multiples of 360, 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 360. 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 360 refer to the products we get while multiplying 360 with other numbers. For example, multiples of 360 include 0, 360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600,….
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360. When 360 is divided by any of these numbers, the remainder will be zero. These are the factors of 360, meaning that these numbers can divide 360 without any remainder.
Multiples of 360 Examples
Problem 1
Amara is setting up a rotating art exhibit. Each exhibit rotates every 360 days. If she plans to rotate exhibits for 5 years, how many rotations will she have completed by the end of that period?
5 rotations
Explanation
To find the total number of rotations, we need to determine how many 360-day periods fit into 5 years. Since there are approximately 365 days in a year, we multiply:
Number of years = 5
Days in a year ≈ 365
Number of rotations = (5 × 365) ÷ 360 ≈ 5
Amara will complete 5 rotations in 5 years.
Problem 2
A carousel in a theme park makes a complete circle every 360 seconds. If the carousel runs continuously for 6 hours, how many complete circles will it make?
60 circles
Explanation
First, we need to convert hours to seconds, then divide by the number of seconds per circle:
Hours = 6
Seconds per hour = 3600
Total seconds = 6 × 3600 = 21600
Now, divide by the number of seconds per circle:
21600 ÷ 360 = 60
The carousel will make 60 complete circles in 6 hours.
Problem 3
A digital clock shows the time in a cycle of 360 minutes, after which it resets. If you start observing the clock at 12:00, how many complete cycles will it have gone through by 8:00 PM?
2 cycles
Explanation
Calculate the total minutes from 12:00 to 8:00 PM:
8 hours = 8 × 60 = 480 minutes
Now, divide by the cycle duration:
480 ÷ 360 = 1.33
Since only complete cycles are counted, the clock will have gone through 2 full cycles.
Problem 4
In a board game, each player moves their piece in steps of 360 spaces. If a player starts at the beginning and moves 7 times, how far will they have moved on the board?
2520 spaces
Explanation
The player moves 360 spaces per move:
Steps = 7
Spaces per step = 360
Total spaces moved = 7 × 360 = 2520
The player will have moved 2520 spaces in total.
Problem 5
A film director is editing a movie with scenes lasting 360 frames each. If the entire movie is made up of 12 scenes, how many frames are there in total?
4320 frames
Explanation
Each scene consists of 360 frames:
Number of scenes = 12
Frames per scene = 360
Total frames = 12 × 360 = 4320
The complete movie consists of 4320 frames.
FAQs on Multiples of 360
1.How do you find the multiples of 360?
2.What is the LCM of 6 and 360?
3.What are the real-life applications of Multiples of 360?
4.Are multiples of 360 finite or infinite?
5.Is there any odd multiple of 360?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 360?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 360 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 360?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 360 among early learners in Vietnam?
Important Glossaries for Multiples of 360
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 360 include 360, 720, 1080, 1440, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 360 are the numbers that consist of the number pattern of 360.
- 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 360 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. Factors of 360 include numbers like 1, 2, 3, 4, 5, 6, etc.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by two or more numbers. For example, the LCM of 6 and 360 is 360.
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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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