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Last updated on March 29th, 2025

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Multiples of 72

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Foundation
Intermediate
Advance Topics

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 72.

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What are the Multiples of 72?

Now, let us learn more about multiples of 72. Multiples of 72 are the numbers you get when you multiply 72 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 72 can be denoted as 72 × 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 72 × 1 will give us 72 as the product. Multiples of 72 will be larger or equal to 72.

Multiples of 72
 

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List of First 20 Multiples of 72

Multiples of 72 include the products of 72 and an integer. Multiples of 72 are divisible by 72 evenly. The first few multiples of 72 are given below:

 

TABLE OF 72 (1-10)

72 x 1 = 72

72 x 6 = 432

72 x 2 = 144

72 x 7 = 504

72 x 3 = 216

72 x 8 = 576

72 x 4 = 288

72 x 9 = 648

72 x 5 = 360

72 x 10 = 720

 

TABLE OF 72 (11-20)

72 x 11 = 792

72 x 16 = 1152

72 x 12 = 864

72 x 17 = 1224

72 x 13 = 936

72 x 18 = 1296

72 x 14 = 1008

72 x 19 = 1368

72 x 15 = 1080

72 x 20 = 1440

 

Now, we know the first few multiples of 72. They are 0, 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, ...

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Operations with Multiples of 72

Understanding the multiples of 72 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 72, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 72:


72, 144, 216, 288, and 360 are the first five multiples of 72. When multiplying 72 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:
72 + 144 + 216 + 288 + 360 = 1080
When we add the first 5 multiples of 72, the answer will be 1080.  

 

Subtraction of First 5 Multiples of 72:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 72, 144, 216, 288, and 360 are the first five multiples of 72. So, let us calculate it as given below:
72 - 144 = -72
-72 - 216 = -288
-288 - 288 = -576
-576 - 360 = -936
Hence, the result of subtracting the first 5 multiples of 72 is -936.

 

Average of First 5 Multiples of 72:


To calculate the average, we need to identify the sum of the first 5 multiples of 72, 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 72 is 1080.
72 + 144 + 216 + 288 + 360 = 1080
Next, divide the sum by 5:
1080 ÷ 5 = 216
216 is the average of the first 5 multiples of 72.

 

Product of First 5 Multiples of 72:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 72 include: 72, 144, 216, 288, and 360. Now, the product of these numbers is:
72 × 144 × 216 × 288 × 360 = 1,938,962,496,000
The product of the first 5 multiples of 72 is 1,938,962,496,000.

 

Division of First 5 Multiples of 72:


While we perform division, we get to know how many times 72 can fit into each of the given multiples. 72, 144, 216, 288, and 360 are the first 5 multiples of 72.
72 ÷ 72 = 1
144 ÷ 72 = 2
216 ÷ 72 = 3
288 ÷ 72 = 4
360 ÷ 72 = 5    
The results of dividing the first 5 multiples of 72 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 72

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Multiples of 72 Examples

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Problem 1

A concert hall is arranging chairs for an event. Each row contains 72 chairs, and there are 6 rows. How many chairs are there in total for the event?

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Explanation

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Problem 2

A factory produces batches of 72 widgets each day. If the factory operates 5 days a week, how many widgets does it produce in a week?

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Explanation

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Problem 3

Emily is organizing a marathon. She has 72 runners in each group, and there are 3 groups in total. How many runners are participating in the marathon?

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Explanation

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Problem 4

A printing company prints 72 pages in each minute. If they print continuously for 10 minutes, how many pages will they print in total?

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Explanation

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Problem 5

A stadium has 72 seats in each section. If there are 12 sections, how many seats are there in total in the stadium?

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Explanation

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FAQs on Multiples of 72

1.How do you find the multiples of 72?

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2.What is the LCM of 72 and 90?

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3.What are the real-life applications of Multiples of 72?

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4.Are multiples of 72 finite or infinite?

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5.Is there any odd multiple of 72?

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Important Glossaries for Multiples of 72

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 72 include 72, 144, 216, 288, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 72 are the numbers that consist of the number pattern of 72.

 

  • 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 72 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72 are the divisors of 72.

 

  • Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each number in a set of numbers. For example, the LCM of 72 and 90 is 360, as it is the smallest number in both lists of multiples.
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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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Fun Fact

: She has songs for each table which helps her to remember the tables

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