101 LearnersLast updated on May 26th, 2025
Multiples of 729
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 729.
What are the Multiples of 729?
Now, let us learn more about multiples of 729. Multiples of 729 are the numbers you get when you multiply 729 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 729 can be denoted as 729 × 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 729 × 1 will give us 729 as the product.
Multiples of 729 will be larger or equal to 729.
List of First 20 Multiples of 729
Multiples of 729 include the products of 729 and an integer. Multiples of 729 are divisible by 729 evenly. The first few multiples of 729 are given below:
| TABLE OF 729 (1-10) | |
|---|---|
|
729 × 1 = 729 |
729 × 6 = 4374 |
|
729 × 2 = 1458 |
729 × 7 = 5103 |
|
729 × 3 = 2187 |
729 × 8 = 5832 |
|
729 × 4 = 2916 |
729 × 9 = 6561 |
|
729 × 5 = 3645 |
729 × 10 = 7290 |
| TABLE OF 729 (11-20) | |
|---|---|
|
729 × 11 = 8019 |
729 × 16 = 11664 |
|
729 × 12 = 8748 |
729 × 17 = 12393 |
|
729 × 13 = 9477 |
729 × 18 = 13122 |
|
729 × 14 = 10206 |
729 × 19 = 13851 |
|
729 × 15 = 10935 |
729 × 20 = 14580 |
Now, we know the first few multiples of 729. They are 0, 729, 1458, 2187, 2916, 3645, 4374, 5103, 5832, 6561, 7290,...
Operations with Multiples of 729
Understanding the multiples of 729 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 729, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 729:
729, 1458, 2187, 2916, and 3645 are the first five multiples of 729. When multiplying 729 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
729 + 1458 + 2187 + 2916 + 3645 = 10,935
When we add the first 5 multiples of 729, the answer will be 10,935.
Subtraction of first 5 Multiples of 729:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 729, 1458, 2187, 2916, and 3645 are the first five multiples of 729. So, let us calculate it as given below:
729 - 1458 = -729
-729 - 2187 = -2916
-2916 - 2916 = -5832
-5832 - 3645 = -9477
Hence, the result of subtracting the first 5 multiples of 729 is -9477.
Average of first 5 Multiples of 729:
To calculate the average, we need to identify the sum of the first 5 multiples of 729, 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 729 is 10,935.
729 + 1458 + 2187 + 2916 + 3645 = 10,935
Next, divide the sum by 5:
10,935 ÷ 5 = 2,187
2,187 is the average of the first 5 multiples of 729.
Product of First 5 Multiples of 729:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 729 include: 729, 1458, 2187, 2916, and 3645. Now, the product of these numbers is:
729 × 1458 × 2187 × 2916 × 3645 = 1,474,552,186,327,480
The product of the first 5 multiples of 729 is 1,474,552,186,327,480.
Division of First 5 Multiples of 729:
While we perform division, we get to know how many times 729 can fit into each of the given multiples. 729, 1458, 2187, 2916, and 3645 are the first 5 multiples of 729.
729 ÷ 729 = 1
1458 ÷ 729 = 2
2187 ÷ 729 = 3
2916 ÷ 729 = 4
3645 ÷ 729 = 5
The results of dividing the first 5 multiples of 729 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 729
While working with multiples of 729, 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 729. 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 729 refer to the products we get while multiplying 729 with other numbers. For example, multiples of 729 include 0, 729, 1458, 2187, 2916, 3645, 4374, 5103, 5832, 6561, 7290….
The factors of 729 are 1, 3, 9, 27, 81, 243, and 729. When 729 is divided by these numbers, the remainder will be zero. These are the factors of 729 meaning that these numbers can divide 729 without any remainder.
Factors of 729:
729 ÷ 1 = 729
729 ÷ 3 = 243
729 ÷ 9 = 81
729 ÷ 27 = 27
729 ÷ 81 = 9
729 ÷ 243 = 3
729 ÷ 729 = 1
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results.
Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 729 include 729, 1458, 2187, 2916, 3645, 4374, …..7290, 8019,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 729, the result will still be a multiple of 729. For example, children may write, 729 + 1458 = 2200, (which is wrong and the correct answer is 2187)
This is incorrect because 2200 is not a multiple of 729. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 729.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 729, and any other number, is zero, it has a valid value. Remember this:
729 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 729 + 729 + 729 + 729 + 729. Instead of adding too many values, use multiplication. Calculate 729 × n for the nth multiple.
For example, instead of 729 + 729 + 729 + 729 + 729, calculate it as given below:
729 × 5 = 3645
Multiples of 729 Examples
Problem 1
In a futuristic city, each energy pod generates 729 units of power. If a section of the city requires power from 5 energy pods to function optimally, how much power does the section receive in total?
3645 units of power
Explanation
Each energy pod generates 729 units. To find the total power from 5 pods, we multiply 729 by 5.
Power from each pod = 729
Number of pods = 5
729 × 5 = 3645
Therefore, the section receives 3645 units of power in total.
Problem 2
In an art exhibition, there are sculptures made from a special material. Each sculpture weighs 729 grams. If there are sculptures weighing in series as the first three multiples of 729 grams, what is the total weight of these sculptures?
4374 grams
Explanation
The first three multiples of 729 are 729, 1458, and 2187.
729 × 1 = 729
729 × 2 = 1458
729 × 3 = 2187
Total weight = 729 + 1458 + 2187 = 4374
Thus, the total weight of these sculptures is 4374 grams.
Problem 3
A tech company uses data servers, each with a capacity of 729 terabytes. If the company has 12 servers, what is the total data capacity available to the company?
8748 terabytes
Explanation
To find the total data capacity, we multiply the capacity of one server by the total number of servers.
Capacity of each server = 729 terabytes
Number of servers = 12
729 × 12 = 8748
Therefore, the total data capacity is 8748 terabytes.
Problem 4
A library categorizes its books in sets of 729 books per category. If the library has 7 categories, how many books does the library have in total?
5103 books
Explanation
Each category contains 729 books. To find the total number of books, we multiply the number of books per category by the number of categories.
Books per category = 729
Number of categories = 7
729 × 7 = 5103
Hence, the library has 5103 books in total.
Problem 5
A farmer has a piece of land divided into 3 plots. The first plot yields 729 kilograms of wheat, the second plot yields twice that amount, and the third plot yields three times the amount of the first plot. What is the total yield of wheat from all three plots?
4374 kilograms
Explanation
The yield from the plots are the first three multiples of 729.
First plot yield = 729 kg
Second plot yield = 2 × 729 = 1458 kg
Third plot yield = 3 × 729 = 2187 kg
Total yield = 729 + 1458 + 2187 = 4374
Therefore, the total yield from all three plots is 4374 kilograms.
FAQs on Multiples of 729
1.How do you find the multiples of 729?
2.What is the LCM of 7 and 729?
3.What are the real-life applications of Multiples of 729?
4.Are multiples of 729 finite or infinite?
5.Is there any odd multiples of 729?
6.How can poems help children in Thailand memorize the Multiplication Table and Multiples of 729?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 729 challenges for kids in Thailand?
8.How do language and cultural differences in Thailand affect the way children learn the Multiplication Table and Multiples of 729?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 729 among early learners in Thailand?
Important Glossaries for Multiples of 729
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 729 include 729, 1458, 2187, 2916, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 729 are the numbers that consist of the number pattern of 729.
- Odd number: An odd number is any number that cannot be divisible by 2 without a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 729 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 9, 27, 81, 243, and 729 are the divisors of 729.
- LCM (Least Common Multiple): The smallest multiple that is evenly divisible by all numbers in a given set. For example, the LCM of 7 and 729 is 5103.
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About BrightChamps in Thailand
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
