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Last updated on May 26th, 2025

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Multiples of 972

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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 972.

Multiples of 972 for Canadian Students
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What are the Multiples of 972?

Now, let us learn more about multiples of 972. Multiples of 972 are the numbers you get when you multiply 972 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 972 can be denoted as 972 × 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 972 × 1 will give us 972 as the product. Multiples of 972 will be larger or equal to 972.multiples of 972

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List of First 20 Multiples of 972

Multiples of 972 include the products of 972 and an integer. Multiples of 972 are divisible by 972 evenly. The first few multiples of 972 are given below:

 

TABLE OF 972 (1-10)

972 x 1 = 972

972 x 6 = 5832

972 x 2 = 1944

972 x 7 = 6804

972 x 3 = 2916

972 x 8 = 7776

972 x 4 = 3888

972 x 9 = 8748

972 x 5 = 4860

972 x 10 = 9720

 

TABLE OF 972 (11-20)

972 x 11 = 10692

972 x 16 = 15552

972 x 12 = 11664

972 x 17 = 16524

972 x 13 = 12636

972 x 18 = 17496

972 x 14 = 13608

972 x 19 = 18468

972 x 15 = 14580

972 x 20 = 19440

 

Now, we know the first few multiples of 972. They are 0, 972, 1944, 2916, 3888, 4860, 5832, 6804, 7776, 8748, 9720,...

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Operations with Multiples of 972

Understanding the multiples of 972 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 972, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 972:

 

972, 1944, 2916, 3888, and 4860 are the first five multiples of 972. When multiplying 972 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:

 

972 + 1944 + 2916 + 3888 + 4860 = 14580

 

When we add the first 5 multiples of 972, the answer will be 14580.

 

Subtraction of First 5 Multiples of 972:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 972, 1944, 2916, 3888, and 4860 are the first five multiples of 972. So, let us calculate it as given below:

 

972 - 1944 = -972  
-972 - 2916 = -3888  
-3888 - 3888 = -7776  
-7776 - 4860 = -12636  

 

Hence, the result of subtracting the first 5 multiples of 972 is -12636.

 

Average of First 5 Multiples of 972:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 972, and then divide it by the count, i.e., 5. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 972 is 14580.

 

972 + 1944 + 2916 + 3888 + 4860 = 14580  


Next, divide the sum by 5:  


14580 ÷ 5 = 2916

 

2916 is the average of the first 5 multiples of 972.

 

Product of First 5 Multiples of 972:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 972 include: 972, 1944, 2916, 3888, and 4860. Now, the product of these numbers is:

 

972 × 1944 × 2916 × 3888 × 4860 = 159,432,586,752,000

 

The product of the first 5 multiples of 972 is 159,432,586,752,000.

 

Division of First 5 Multiples of 972:

 

While we perform division, we get to know how many times 972 can fit into each of the given multiples. 972, 1944, 2916, 3888, and 4860 are the first 5 multiples of 972.

 

972 ÷ 972 = 1  
1944 ÷ 972 = 2  
2916 ÷ 972 = 3  
3888 ÷ 972 = 4  
4860 ÷ 972 = 5  

 

The results of dividing the first 5 multiples of 972 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 972

While working with multiples of 972, 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

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Confusing Multiples with Factors

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Sometimes, students get confused between the multiples and factors of 972. 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 972 refer to the products we get while multiplying 972 with other numbers. For example, multiples of 972 include 0, 972, 1944, 2916, 3888, 4860, 5832, 6804, 7776, 8748, 9720, etc.

 
The factors of 972 are those numbers that can divide 972 without leaving a remainder.

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Multiples of 972 Examples

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Problem 1

In a factory, there are production lines that manufacture gadgets. Each production line produces 972 gadgets a day. If the factory operates 5 production lines, how many gadgets are produced in total per day?

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4860 gadgets

Explanation

Each production line produces 972 gadgets. With 5 production lines, the total production is calculated by multiplying 972 by 5.

 

Production per line = 972  
Number of lines = 5  

 

972 × 5 = 4860  

 

Therefore, 4860 gadgets are produced in total per day.

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Problem 2

A library organizes its books in sections, each section holding a number of books that is a multiple of 972. The first three sections have 972, 1944, and 2916 books respectively. How many books are there in total in these three sections?

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5832 books

Explanation

The sections have books in multiples of 972. The number of books in the first three sections are:

 

972 × 1 = 972  
972 × 2 = 1944  
972 × 3 = 2916  

 

Total books = 972 + 1944 + 2916 = 5832  

 

Therefore, there are 5832 books in total in these three sections.

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Problem 3

During a sports event, teams are awarded points in multiples of 972. Team A scores 972 points, Team B scores 1944 points, and Team C scores 2916 points. What is the total score for all teams combined?

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5832 points

Explanation

The points awarded are multiples of 972:

 

Team A: 972 points  
Team B: 1944 points  
Team C: 2916 points  

 

Total score = 972 + 1944 + 2916 = 5832  

 

Therefore, the total score for all teams combined is 5832 points.

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Max, the Girl Character from BrightChamps

Problem 4

An art exhibition displays paintings in groups. Each group contains 972 paintings. If there are 6 groups, how many paintings are displayed in total?

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5832 paintings

Explanation

Each group has 972 paintings. With 6 groups, the total number of paintings is calculated by multiplying 972 by 6.

 

Number of paintings per group = 972  
Number of groups = 6  

 

972 × 6 = 5832  

 

Therefore, there are 5832 paintings displayed in total.

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Max, the Girl Character from BrightChamps

Problem 5

A company ships its products in large boxes, each containing 972 items. If a shipment consists of 4 boxes, how many items are in the shipment?

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3888 items

Explanation

Each box contains 972 items. With 4 boxes, the total number of items is calculated by multiplying 972 by 4.

 

Items per box = 972  
Number of boxes = 4  

 

972 × 4 = 3888  

 

Therefore, the shipment contains 3888 items.

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FAQs on Multiples of 972

1.How do you find the multiples of 972?

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2.hat is the LCM of 7 and 972?

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3.What are the real-life applications of Multiples of 972?

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4.Are multiples of 972 finite or infinite?

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5.Is there any odd multiple of 972?

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6.How can poems help children in Canada memorize the Multiplication Table and Multiples of 972?

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7.Can learning the Multiplication Table influence creativity in solving Multiples of 972 challenges for kids in Canada?

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8.How do language and cultural differences in Canada affect the way children learn the Multiplication Table and Multiples of 972?

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9.What role does brain development play in mastering the Multiplication Table and Multiples of 972 among early learners in Canada?

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Important Glossaries for Multiples of 972

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 972 include 972, 1944, 2916, 3888, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 972 are the numbers that consist of the number pattern of 972.
     
  • 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 972 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. The number 972, for example, has divisors other than itself.
     
  • Factor: A factor of a number is an integer that divides the number without leaving a remainder. Factors are different from multiples and are usually smaller than the number itself.
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About BrightChamps in Canada

At BrightChamps, we know multiplication tables are more than just digits—they are gateways to new opportunities! We strive to help children all over Canada build important math skills, focusing today on the Multiples of 972 with a special focus on multiples—in a way that’s fun, lively, and easy to follow. Whether your child is calculating the speed of a roller coaster at Canada’s Wonderland, keeping track of hockey scores, or managing their allowance to get the latest gadgets, mastering multiplication tables gives them the confidence to tackle daily challenges. Our engaging lessons are designed to make learning straightforward and enjoyable. Since kids across Canada learn differently, we customize teaching to match their individual style. From Toronto’s vibrant streets to British Columbia’s beautiful landscapes, BrightChamps brings math to life, making it exciting everywhere. Let’s make multiples an enjoyable part of every child’s math path!
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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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