119 LearnersLast updated on May 26th, 2025
Multiples of 384
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 384.
What are the Multiples of 384?
Now, let us learn more about multiples of 384. Multiples of 384 are the numbers you get when you multiply 384 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 384 can be denoted as 384 × 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 384 × 1 will give us 384 as the product. Multiples of 384 will be larger or equal to 384.
List of First 20 Multiples of 384
Multiples of 384 include the products of 384 and an integer. Multiples of 384 are divisible by 384 evenly. The first few multiples of 384 are given below:
| TABLE OF 384 (1-10) | |
|---|---|
|
384 x 1 = 384 |
384 x 6 = 2304 |
|
384 x 2 = 768 |
384 x 7 = 2688 |
|
384 x 3 = 1152 |
384 x 8 = 3072 |
|
384 x 4 = 1536 |
384 x 9 = 3456 |
|
384 x 5 = 1920 |
384 x 10 = 3840 |
| TABLE OF 384 (11-20) | |
|---|---|
|
384 x 11 = 4224 |
384 x 16 = 6144 |
|
384 x 12 = 4608 |
384 x 17 = 6528 |
|
384 x 13 = 4992 |
384 x 18 = 6912 |
|
384 x 14 = 5376 |
384 x 19 = 7296 |
|
384 x 15 = 5760 |
384 x 20 = 7680 |
Now, we know the first few multiples of 384. They are 0, 384, 768, 1152, 1536, 1920, 2304, 2688, 3072, 3456, 3840,...
Operations with Multiples of 384
Understanding the multiples of 384 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 384, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 384:
384, 768, 1152, 1536, and 1920 are the first five multiples of 384. When multiplying 384 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
384 + 768 + 1152 + 1536 + 1920 = 5760
When we add the first 5 multiples of 384, the answer will be 5760.
Subtraction of first 5 Multiples of 384:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 384, 768, 1152, 1536, and 1920 are the first five multiples of 384. So, let us calculate it as given below:
384 - 768 = -384
-384 - 1152 = -1536
-1536 - 1536 = -3072
-3072 - 1920 = -4992
Hence, the result of subtracting the first 5 multiples of 384 is -4992.
Average of first 5 Multiples of 384:
To calculate the average, we need to identify the sum of the first 5 multiples of 384, 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 384 is 5760.
384 + 768 + 1152 + 1536 + 1920 = 5760
Next, divide the sum by 5:
5760 ÷ 5 = 1152
1152 is the average of the first 5 multiples of 384.
Product of First 5 Multiples of 384:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 384 include: 384, 768, 1152, 1536, and 1920. Now, the product of these numbers is:
384 × 768 × 1152 × 1536 × 1920 = 82,775,113,728,000
The product of the first 5 multiples of 384 is 82,775,113,728,000.
Division of First 5 Multiples of 384:
While we perform division, we get to know how many times 384 can fit into each of the given multiples. 384, 768, 1152, 1536, and 1920 are the first 5 multiples of 384.
384 ÷ 384 = 1
768 ÷ 384 = 2
1152 ÷ 384 = 3
1536 ÷ 384 = 4
1920 ÷ 384 = 5
The results of dividing the first 5 multiples of 384 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 384
While working with multiples of 384, 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 384. 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 384 refer to the products we get while multiplying 384 with other numbers. For example, multiples of 384 include 0, 384, 768, 1152, 1536, 1920, 2304, 2688, 3072, 3456, 3840, ...
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, and 384. When 384 is divided by these numbers, the remainder will be zero. These are the factors of 384, meaning that these numbers can divide 384 without any remainder.
Factors of 384:
384 ÷ 1 = 384
384 ÷ 2 = 192
384 ÷ 3 = 128
384 ÷ 4 = 96
Multiples of 384 Examples
Problem 1
A new library is opening, and they plan to organize their books in sections with each section containing 384 books. If the library adds 3 new sections every year, how many books will they have in these new sections after 5 years?
5,760 books
Explanation
Each year, the library adds 3 sections of 384 books. To find the total number of books after 5 years, multiply the number of books per section by the number of sections added each year, and then by the number of years.
Books per section = 384
Sections added each year = 3
Number of years = 5
384 × 3 × 5 = 5,760
After 5 years, there will be 5,760 books in the new sections.
Problem 2
A factory produces widgets in batches. Each batch contains 384 widgets. If three different factories each produce widgets in quantities equal to the first three multiples of 384, how many widgets did each factory produce?
The first three multiples of 384 are 384, 768, and 1,152. The factories produced 384, 768, and 1,152 widgets, respectively.
Explanation
To find how many widgets each factory produced, calculate the first three multiples of 384:
384 × 1 = 384
384 × 2 = 768
384 × 3 = 1,152
The first factory produced 384 widgets, the second factory produced 768 widgets, and the third factory produced 1,152 widgets.
Problem 3
In a large conference hall, there are 384 chairs set up for an event. If the event organizers decide to set up 384 additional chairs in each of the 6 event halls, how many chairs will be set up in total?
2,304 chairs
Explanation
To find the total number of chairs, multiply the number of chairs per hall by the number of event halls.
Number of chairs per hall = 384
Number of event halls = 6
384 × 6 = 2,304
Therefore, a total of 2,304 chairs will be set up in all the event halls.
Problem 4
A company has a stockpile of 384 computer units in each warehouse. If they have 7 warehouses, how many computer units do they have in total?
2,688 computer units
Explanation
To find the total number of computer units, multiply the number of units per warehouse by the number of warehouses.
Number of units per warehouse = 384
Number of warehouses = 7
384 × 7 = 2,688
So, there are a total of 2,688 computer units across all warehouses.
Problem 5
A film studio is producing movie reels, and each reel contains 384 meters of film. If they produce 3 reels in the first month, 6 reels in the second month, and 9 reels in the third month, how many meters of film have they produced in total?
6,912 meters of film
Explanation
Calculate the total meters of film produced each month and sum them up:
First month: 384 × 3 = 1,152 meters
Second month: 384 × 6 = 2,304 meters
Third month: 384 × 9 = 3,456 meters
Total meters of film = 1,152 + 2,304 + 3,456 = 6,912
Therefore, the studio has produced a total of 6,912 meters of film over the three months.
FAQs on Multiples of 384
1.How do you find the multiples of 384?
2.What is the LCM of 7 and 384?
3.What are the real-life applications of Multiples of 384?
4.Are multiples of 384 finite or infinite?
5.Is there any odd multiple of 384?
6.How can poems help children in Qatar memorize the Multiplication Table and Multiples of 384?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 384 challenges for kids in Qatar?
8.How do language and cultural differences in Qatar affect the way children learn the Multiplication Table and Multiples of 384?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 384 among early learners in Qatar?
Important Glossaries for Multiples of 384
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 384 include 384, 768, 1152, 1536, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 384 are the numbers that consist of the number pattern of 384.
- 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 384 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, and 384 are some divisors of 384.
- Least Common Multiple (LCM): LCM is the smallest common multiple shared between two or more numbers. For instance, the LCM of 7 and 384 is 2688.
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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.
Fun Fact
: She has songs for each table which helps her to remember the tables
