130 LearnersLast updated on May 26th, 2025
Multiples of 180
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 180.
What are the Multiples of 180?
Now, let us learn more about multiples of 180. Multiples of 180 are the numbers you get when you multiply 180 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 180 can be denoted as 180 × 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 180 × 1 will give us 180 as the product. Multiples of 180 will be larger or equal to 180.
List of First 20 Multiples of 180
Multiples of 180 include the products of 180 and an integer. Multiples of 180 are divisible by 180 evenly. The first few multiples of 180 are given below:
| TABLE OF 180 (1-10) | |
|---|---|
|
180 x 1 = 180 |
180 x 6 = 1080 |
|
180 x 2 = 360 |
180 x 7 = 1260 |
|
180 x 3 = 540 |
180 x 8 = 1440 |
|
180 x 4 = 720 |
180 x 9 = 1620 |
|
180 x 5 = 900 |
180 x 10 = 1800 |
| TABLE OF 180 (11-20) | |
|---|---|
|
180 x 11 = 1980 |
180 x 16 = 2880 |
|
180 x 12 = 2160 |
180 x 17 = 3060 |
|
180 x 13 = 2340 |
180 x 18 = 3240 |
|
180 x 14 = 2520 |
180 x 19 = 3420 |
|
180 x 15 = 2700 |
180 x 20 = 3600 |
Now, we know the first few multiples of 180. They are 0, 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800,...
Operations with Multiples of 180
Understanding the multiples of 180 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 180, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 180:
180, 360, 540, 720, and 900 are the first five multiples of 180. When multiplying 180 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
180 + 360 + 540 + 720 + 900 = 2700
When we add the first 5 multiples of 180 the answer will be 2700.
Subtraction of first 5 Multiples of 180:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 180, 360, 540, 720, and 900 are the first five multiples of 180. So, let us calculate it as given below:
180 - 360 = -180
-180 - 540 = -720
-720 - 720 = -1440
-1440 - 900 = -2340
Hence, the result of subtracting the first 5 multiples of 180 is -2340.
Average of first 5 Multiples of 180:
To calculate the average, we need to identify the sum of the first 5 multiples of 180, 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 180 is 2700.
180 + 360 + 540 + 720 + 900 = 2700
Next, divide the sum by 5:
2700 ÷ 5 = 540
540 is the average of the first 5 multiples of 180.
Product of First 5 Multiples of 180:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 180 include: 180, 360, 540, 720, and 900. Now, the product of these numbers is:
180 × 360 × 540 × 720 × 900 = 20,922,787,200,000
The product of the first 5 multiples of 180 is 20,922,787,200,000.
Division of First 5 Multiples of 180:
While we perform division, we get to know how many times 180 can fit into each of the given multiples. 180, 360, 540, 720, and 900 are the first 5 multiples of 180.
180 ÷ 180 = 1
360 ÷ 180 = 2
540 ÷ 180 = 3
720 ÷ 180 = 4
900 ÷ 180 = 5
The results of dividing the first 5 multiples of 180 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 180
While working with multiples of 180, 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 180. 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 180 refer to the products we get while multiplying 180 with other numbers. For example, multiples of 180 include 0, 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800….
The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180. When 180 is divided by these numbers, the remainder will be zero. These are the factors of 180 meaning that these numbers can divide 180 without any remainder.
Factors of 180:
180 ÷ 1 = 180
180 ÷ 2 = 90
180 ÷ 3 = 60
180 ÷ 4 = 45
180 ÷ 5 = 36
Multiples of 180 Examples
Problem 1
In a large conference hall, chairs are arranged in rows. Each row contains 180 chairs. If the organizers decide to set up 10 such rows, how many chairs will they have in total?
1,800 chairs
Explanation
To find the total number of chairs, multiply the number of chairs in each row by the number of rows.
Number of chairs in each row = 180
Number of rows = 10
180 × 10 = 1800
Therefore, there will be 1,800 chairs in total
Problem 2
A painter is planning a mural that requires colors in cycles of 180 different shades. If the mural spans 5 such cycles, how many shades will the painter use in total?
900 shades
Explanation
To find the total number of shades used, multiply the number of shades in one cycle by the number of cycles.
Number of shades in one cycle = 180
Number of cycles = 5
180 × 5 = 900
Hence, 900 shades will be used in total.
Problem 3
In a music album, each track is exactly 180 seconds long. If the album contains 12 tracks, what is the total duration of the album in seconds?
2,160 seconds
Explanation
To find the total duration, multiply the length of each track by the number of tracks.
Duration of each track = 180 seconds
Number of tracks = 12
180 × 12 = 2160
Therefore, the total duration of the album is 2,160 seconds.
Problem 4
A factory produces batches of 180 gadgets each day. If the factory operates for 20 days, how many gadgets will be produced in total?
3,600 gadgets
Explanation
To find the total number of gadgets produced, multiply the number of gadgets per day by the number of days.
Gadgets produced per day = 180
Number of days = 20
180 × 20 = 3600
Thus, the factory will produce 3,600 gadgets in total.
Problem 5
A theater has 180 seats per screening. If the theater hosts 8 screenings over a weekend, how many people can be accommodated in total?
1,440 people
Explanation
To find the total number of people accommodated, multiply the number of seats per screening by the number of screenings.
Seats per screening = 180
Number of screenings = 8
180 × 8 = 1440
Therefore, the theater can accommodate 1,440 people over the weekend.
FAQs on Multiples of 180
1.How do you find the multiples of 180?
2.What is the LCM of 180 and 240?
3. What are the real-life applications of Multiples of 180?
4.Are multiples of 180 finite or infinite?
5.Is there any odd multiples of 180?
Important Glossary for Multiples of 180
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 180 include 180, 360, 540, 720, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 180 are the numbers that consist of the number pattern of 180.
- 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 180 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 5, and 6 are some of the divisors of 180.
- Factor: A factor of a number is an integer that divides the number evenly without leaving a remainder. Factors of 180 include 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.
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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
