114 LearnersLast updated on May 26th, 2025
Multiples of 60
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 60.
What are the Multiples of 60?
Now, let us learn more about multiples of 60. Multiples of 60 are the numbers you get when you multiply 60 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 60 can be denoted as 60 × 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 60 × 1 will give us 60 as the product. Multiples of 60 will be larger or equal to 60.
List of First 20 Multiples of 60
Multiples of 60 include the products of 60 and an integer. Multiples of 60 are divisible by 60 evenly. The first few multiples of 60 are given below:
| TABLE OF 60 (1-10) | |
|---|---|
|
60 x 1 = 60 |
60 x 6 = 360 |
|
60 x 2 = 120 |
60 x 7 = 420 |
|
60 x 3 = 180 |
60 x 8 = 480 |
|
60 x 4 = 240 |
60 x 9 = 540 |
|
60 x 5 = 300 |
60 x 10 = 600 |
| TABLE OF 60 (11-20) | |
|---|---|
|
60 x 11 = 660 |
60 x 16 = 960 |
|
60 x 12 = 720 |
60 x 17 = 1020 |
|
60 x 13 = 780 |
60 x 18 = 1080 |
|
60 x 14 = 840 |
60 x 19 = 1140 |
|
60 x 15 = 900 |
60 x 20 = 1200 |
Operations with Multiples of 60
Understanding the multiples of 60 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 60, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 60:
60, 120, 180, 240, and 300 are the first five multiples of 60. When multiplying 60 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
60 + 120 + 180 + 240 + 300 = 900
When we add the first 5 multiples of 60, the answer will be 900.
Subtraction of First 5 Multiples of 60:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 60, 120, 180, 240, and 300 are the first five multiples of 60. So, let us calculate it as given below:
60 - 120 = -60
-60 - 180 = -240
-240 - 240 = -480
-480 - 300 = -780
Hence, the result of subtracting the first 5 multiples of 60 is -780.
Average of First 5 Multiples of 60:
To calculate the average, we need to identify the sum of the first 5 multiples of 60 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 60 is 900.
60 + 120 + 180 + 240 + 300 = 900
Next, divide the sum by 5:
900 ÷ 5 = 180
180 is the average of the first 5 multiples of 60.
Product of First 5 Multiples of 60:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 60 include: 60, 120, 180, 240, and 300. Now, the product of these numbers is:
60 × 120 × 180 × 240 × 300 = 93,312,000,000
The product of the first 5 multiples of 60 is 93,312,000,000.
Division of First 5 Multiples of 60:
While we perform division, we get to know how many times 60 can fit into each of the given multiples. 60, 120, 180, 240, and 300 are the first 5 multiples of 60.
60 ÷ 60 = 1
120 ÷ 60 = 2
180 ÷ 60 = 3
240 ÷ 60 = 4
300 ÷ 60 = 5
The results of dividing the first 5 multiples of 60 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 60
While working with multiples of 60, 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 60. 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 60 refer to the products we get while multiplying 60 with other numbers. For example, multiples of 60 include 0, 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, …
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. When 60 is divided by any of these numbers, the remainder will be zero. These are the factors of 60 meaning that these numbers can divide 60 without any remainder.
Factors of 60:
60 ÷ 1 = 60
60 ÷ 2 = 30
60 ÷ 3 = 20
60 ÷ 4 = 15
60 ÷ 5 = 12
60 ÷ 6 = 10
60 ÷ 10 = 6
60 ÷ 12 = 5
60 ÷ 15 = 4
60 ÷ 20 = 3
60 ÷ 30 = 2
60 ÷ 60 = 1
Multiples of 60 Examples
Problem 1
A local orchestra is preparing for a concert series. They plan to have 60 musicians perform at each concert. If they hold 5 concerts in a month, how many musicians will have performed by the end of the month?
300 musicians
Explanation
Each concert features 60 musicians. To find the total number of musician performances over the 5 concerts, we multiply the number of musicians per concert by the number of concerts.
Musicians per concert = 60
Number of concerts = 5
60 × 5 = 300
Therefore, 300 musicians will have performed by the end of the month.
Problem 2
A marathon organizer is planning water stations along the race route. Each station will be set up every 60 meters. If the race is 300 meters long, how many water stations will be needed?
5 stations
Explanation
The water stations are set up every 60 meters. To determine the number of stations, divide the total distance by the distance between each station.
Total distance = 300 meters
Distance between stations = 60 meters
300 ÷ 60 = 5
Thus, 5 water stations are needed along the race route.
Problem 3
A film festival is showing a series of short films. Each film has a runtime of exactly 60 minutes. If there are 8 films being shown, what is the total runtime for all the films?
480 minutes
Explanation
Each film runs for 60 minutes. To find the total runtime, multiply the number of films by the runtime of each film.
Runtime of each film = 60 minutes
Number of films = 8
60 × 8 = 480
Therefore, the total runtime for all the films is 480 minutes.
Problem 4
A bakery is packaging cookies into boxes. Each box contains 60 cookies. If the bakery packages 7 boxes, how many cookies are there in total?
420 cookies
Explanation
Each box contains 60 cookies. To find the total number of cookies, multiply the number of boxes by the number of cookies per box.
Cookies per box = 60
Number of boxes = 7
60 × 7 = 420
So, there are 420 cookies in total.
Problem 5
A construction project requires beams that are 60 meters long. If a total length of 360 meters is needed, how many beams are required?
6 beams
Explanation
Each beam is 60 meters long. To find the number of beams needed, divide the total length required by the length of each beam.
Total length required = 360 meters
Length of each beam = 60 meters
360 ÷ 60 = 6
Thus, 6 beams are required for the project.
FAQs on Multiples of 60
1.How do you find the multiples of 60?
2.What is the LCM of 5 and 60?
3.What are the real-life applications of Multiples of 60?
4.Are multiples of 60 finite or infinite?
5.Is there any odd multiples of 60?
6.How can poems help children in India memorize the Multiplication Table and Multiples of 60?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 60 challenges for kids in India?
8.How do language and cultural differences in India affect the way children learn the Multiplication Table and Multiples of 60?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 60 among early learners in India?
Important Glossaries for Multiples of 60
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 60 include 60, 120, 180, 240, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 60 are the numbers that consist of the number pattern of 60.
- 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 60 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, 6, 10, 12, 15, 20, 30, and 60 are the divisors of 60.
- Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each number in a set of numbers. For example, the LCM of 5 and 60 is 60.
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Seyed Ali Fathima S
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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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