Last updated on May 26th, 2025
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.
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 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,...
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.
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.
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.
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.
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.
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.
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:
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?
4860 gadgets
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.
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?
5832 books
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.
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?
5832 points
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.
An art exhibition displays paintings in groups. Each group contains 972 paintings. If there are 6 groups, how many paintings are displayed in total?
5832 paintings
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.
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?
3888 items
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.
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.
: She has songs for each table which helps her to remember the tables