103 LearnersLast updated on May 26th, 2025
Multiples of 1800
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 1800.
What are the Multiples of 1800?
Now, let us learn more about multiples of 1800. Multiples of 1800 are the numbers you get when you multiply 1800 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 1800 can be denoted as 1800 × 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 1800 × 1 will give us 1800 as the product. Multiples of 1800 will be larger or equal to 1800.
List of First 20 Multiples of 1800
Multiples of 1800 include the products of 1800 and an integer. Multiples of 1800 are divisible by 1800 evenly. The first few multiples of 1800 are given below:
| TABLE OF 1800 (1-10) | |
|---|---|
|
1800 x 1 = 1800 |
1800 x 6 = 10800 |
|
1800 x 2 = 3600 |
1800 x 7 = 12600 |
|
1800 x 3 = 5400 |
1800 x 8 = 14400 |
|
1800 x 4 = 7200 |
1800 x 9 = 16200 |
|
1800 x 5 = 9000 |
1800 x 10 = 18000 |
| TABLE OF 1800 (11-20) | |
|---|---|
|
1800 x 11 = 19800 |
1800 x 16 = 28800 |
|
1800 x 12 = 21600 |
1800 x 17 = 30600 |
|
1800 x 13 = 23400 |
1800 x 18 = 32400 |
|
1800 x 14 = 25200 |
1800 x 19 = 34200 |
|
1800 x 15 = 27000 |
1800 x 20 = 36000 |
Now, we know the first few multiples of 1800. They are 0, 1800, 3600, 5400, 7200, 9000, 10800, 12600, 14400, 16200, 18000,...
Operations with Multiples of 1800
Understanding the multiples of 1800 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 1800, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 1800:
1800, 3600, 5400, 7200, and 9000 are the first five multiples of 1800. When multiplying 1800 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
1800 + 3600 + 5400 + 7200 + 9000 = 27000
When we add the first 5 multiples of 1800, the answer will be 27000.
Subtraction of first 5 Multiples of 1800:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 1800, 3600, 5400, 7200, and 9000 are the first five multiples of 1800. So, let us calculate it as given below:
1800 - 3600 = -1800
-1800 - 5400 = -7200
-7200 - 7200 = -14400
-14400 - 9000 = -23400
Hence, the result of subtracting the first 5 multiples of 1800 is -23400.
Average of first 5 Multiples of 1800:
To calculate the average, we need to identify the sum of the first 5 multiples of 1800, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 1800 is 27000.
1800 + 3600 + 5400 + 7200 + 9000 = 27000
Next, divide the sum by 5:
27000 ÷ 5 = 5400
5400 is the average of the first 5 multiples of 1800.
Product of First 5 Multiples of 1800:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 1800 include: 1800, 3600, 5400, 7200, and 9000. Now, the product of these numbers is:
1800 × 3600 × 5400 × 7200 × 9000 = 10,606,680,000,000,000
The product of the first 5 multiples of 1800 is approximately 10.61 quadrillion.
Division of First 5 Multiples of 1800:
While we perform division, we get to know how many times 1800 can fit into each of the given multiples. 1800, 3600, 5400, 7200, and 9000 are the first 5 multiples of 1800.
1800 ÷ 1800 = 1
3600 ÷ 1800 = 2
5400 ÷ 1800 = 3
7200 ÷ 1800 = 4
9000 ÷ 1800 = 5
The results of dividing the first 5 multiples of 1800 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 1800
While working with multiples of 1800, 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 1800. 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 1800 refer to the products we get while multiplying 1800 with other numbers. For example, multiples of 1800 include 0, 1800, 3600, 5400, 7200, 9000, 10800, 12600, 14400, 16200, 18000….
The factors of 1800 are numbers like 1, 2, 3, 4, 5, 6, etc., that divide 1800 exactly.
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 1800 include 1800, 3600, 5400, 7200, 9000, 10800, …..18000, 19800,...
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 1800, the result will still be a multiple of 1800. For example, children may write,
1800 + 3600 = 5490, (which is wrong and the correct answer is 5400)
This is incorrect because 5490 is not a multiple of 1800. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 1800.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 1800, and any other number, is zero, and it has a valid value. Remember this:
1800 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 1800 + 1800 + 1800 + 1800 + 1800. Instead of adding too many values, use multiplication. Calculate 1800 × n for the nth multiple.
For example, instead of 1800 + 1800 + 1800 + 1800 + 1800, calculate it as given below:
1800 × 5 = 9000
Multiples of 1800 Examples
Problem 1
A company manufactures electronic gadgets in batches of 1800 units. Over the course of a year, they produce gadgets continuously. If the company wants to know how many gadgets they will have after 6 months, how should they calculate it?
10,800 gadgets
Explanation
Each month, the company produces 1800 gadgets. To find the total number of gadgets produced after 6 months, multiply the number of gadgets produced each month by the number of months.
Gadgets produced each month = 1800
Number of months = 6
1800 × 6 = 10,800
They will have 10,800 gadgets after 6 months.
Problem 2
A landscaping firm uses bags of mulch to cover gardens. Each garden requires a multiple of 1800 bags of mulch. In one month, they cover three gardens using the first three multiples of 1800 bags. How many bags of mulch did they use for each garden?
The first three multiples of 1800 are 1800, 3600, and 5400. The first garden used 1800 bags, the second 3600, and the third 5400 bags.
Explanation
To find out how many bags were used for each garden, identify the first three multiples of 1800:
1800 × 1 = 1800
1800 × 2 = 3600
1800 × 3 = 5400
Therefore, the first garden used 1800 bags, the second used 3600, and the third used 5400 bags.
Problem 3
A shipping company loads containers onto ships. Each container can carry 1800 kilograms of cargo. If they have 10 containers, what is the total cargo capacity of these containers?
18,000 kilograms.
Explanation
To find the total cargo capacity, multiply the cargo capacity of one container by the number of containers.
Capacity of each container = 1800 kg
Number of containers = 10
1800 × 10 = 18,000
Therefore, the total cargo capacity is 18,000 kilograms.
Problem 4
A textile company produces rolls of fabric. They store them on pallets, each of which holds 5 rolls, and each roll contains 1800 meters of fabric. How many meters of fabric are there on one fully stocked pallet?
9,000 meters.
Explanation
To find the total meters of fabric, multiply the number of rolls by the meters in each roll.
Number of rolls per pallet = 5
Meters of fabric in each roll = 1800
5 × 1800 = 9,000
So, there are 9,000 meters of fabric on one fully stocked pallet.
Problem 5
A book printing press produces books in sets. The first set has 1800 books, the second set has 3600 books, and the third set has 5400 books. How many books are there in total across all three sets?
10,800 books
Explanation
The first set has 1800 books, the second set has 3600 books, and the third set has 5400 books. To find the total number of books:
1800 + 3600 + 5400 = 10,800
Therefore, there are a total of 10,800 books across all three sets.
FAQs on Multiples of 1800
1.How do you find the multiples of 1800?
2.What is the LCM of 7 and 1800?
3.What are the real-life applications of Multiples of 1800?
4.Are multiples of 1800 finite or infinite?
5.Is there any odd multiple of 1800?
6.How can poems help children in Thailand memorize the Multiplication Table and Multiples of 1800?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 1800 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 1800?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 1800 among early learners in Thailand?
Important Glossary for Multiples of 1800
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 1800 include 1800, 3600, 5400, 7200, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 1800 are the numbers that consist of the number pattern of 1800.
- 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 1800 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 5, 6, etc., are divisors of 1800.
- Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each of the numbers being considered. For example, the LCM of 7 and 1800 is 12600.
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Seyed Ali Fathima S
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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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