163 LearnersLast updated on May 26th, 2025
Multiples of 200
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 200.
What are the Multiples of 200?
Now, let us learn more about multiples of 200. Multiples of 200 are the numbers you get when you multiply 200 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 200 can be denoted as 200 × 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 200 × 1 will give us 200 as the product. Multiples of 200 will be larger or equal to 200.
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List of First 20 Multiples of 200
Multiples of 200 include the products of 200 and an integer. Multiples of 200 are divisible by 200 evenly. The first few multiples of 200 are given below:
| TABLE OF 200 (1-10) | |
|---|---|
|
200 x 1 = 200 |
200 x 6 = 1200 |
|
200 x 2 = 400 |
200 x 7 = 1400 |
|
200 x 3 = 600 |
200 x 8 = 1600 |
|
200 x 4 = 800 |
200 x 9 = 1800 |
|
200 x 5 = 1000 |
200 x 10 = 2000 |
| TABLE OF 200 (11-20) | |
|---|---|
|
200 x 11 = 2200 |
200 x 16 = 3200 |
|
200 x 12 = 2400 |
200 x 17 = 3400 |
|
200 x 13 = 2600 |
200 x 18 = 3600 |
|
200 x 14 = 2800 |
200 x 19 = 3800 |
|
200 x 15 = 3000 |
200 x 20 = 4000 |
Now, we know the first few multiples of 200. They are 0, 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000,...
Operations with Multiples of 200
Understanding the multiples of 200 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 200, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 200:
200, 400, 600, 800, and 1000 are the first five multiples of 200. When multiplying 200 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
200 + 400 + 600 + 800 + 1000 = 3000
When we add the first 5 multiples of 200, the answer will be 3000.
Subtraction of first 5 Multiples of 200:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 200, 400, 600, 800, and 1000 are the first five multiples of 200. So, let us calculate it as given below:
200 - 400 = -200
-200 - 600 = -800
-800 - 800 = -1600
-1600 - 1000 = -2600
Hence, the result of subtracting the first 5 multiples of 200 is -2600.
Average of first 5 Multiples of 200:
To calculate the average, we need to identify the sum of the first 5 multiples of 200, 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 200 is 3000.
200 + 400 + 600 + 800 + 1000 = 3000
Next, divide the sum by 5:
3000 ÷ 5 = 600
600 is the average of the first 5 multiples of 200.
Product of First 5 Multiples of 200:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 200 include: 200, 400, 600, 800, and 1000. Now, the product of these numbers is:
200 × 400 × 600 × 800 × 1000 = 38,400,000,000,000
The product of the first 5 multiples of 200 is 38,400,000,000,000.
Division of First 5 Multiples of 200:
While we perform division, we get to know how many times 200 can fit into each of the given multiples. 200, 400, 600, 800, and 1000 are the first 5 multiples of 200.
200 ÷ 200 = 1
400 ÷ 200 = 2
600 ÷ 200 = 3
800 ÷ 200 = 4
1000 ÷ 200 = 5
The results of dividing the first 5 multiples of 200 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 200
While working with multiples of 200, 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 200. 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 200 refer to the products we get while multiplying 200 with other numbers. For example, multiples of 200 include 0, 200, 400, 600, 800, 1000, etc.
The factors of 200 are 1, 2, 4, 5, 10, 20, 25, 40, 50, 100, and 200. These are the factors of 200, meaning that these numbers can divide 200 without any remainder.
Factors of 200:
200 ÷ 1 = 200
200 ÷ 2 = 100
200 ÷ 4 = 50
200 ÷ 5 = 40
200 ÷ 10 = 20
200 ÷ 20 = 10
200 ÷ 25 = 8
200 ÷ 40 = 5
200 ÷ 50 = 4
200 ÷ 100 = 2
200 ÷ 200 = 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 200 include 200, 400, 600, 800, 1000, 1200, …..2000, 2200,...
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 200, the result will still be a multiple of 200. For example, children may write,
200 + 400 = 601, (which is wrong and the correct answer is 600)
This is incorrect because 601 is not a multiple of 200. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 200.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 200, and any other number, is zero; it has a valid value. Remember this:
200 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 200 + 200 + 200 + 200 + 200. Instead of adding too many values, use multiplication. Calculate 200 × n for the nth multiple.
For example, instead of 200 + 200 + 200 + 200 + 200, calculate it as given below:
200 × 5 = 1000
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Multiples of 200 Examples
Problem 1
Amelia is organizing a charity art auction. Each artist is donating 200 paintings, and there are 5 artists participating. If they manage to secure donations in multiples of 200, how many paintings will there be in total?
1000 paintings
Explanation
Each artist donates 200 paintings. To find the total number of paintings donated by 5 artists, we multiply:
Paintings per artist = 200
Number of artists = 5
200 × 5 = 1000
Therefore, there will be 1000 paintings in total.
Problem 2
A company is producing batches of custom bicycles. Each batch contains 200 bicycles. If they completed 3 batches this month, how many bicycles did they produce?
600 bicycles
Explanation
Each batch has 200 bicycles. To find the total number of bicycles produced in 3 batches, multiply:
Bicycles per batch = 200
Number of batches = 3
200 × 3 = 600
Thus, they produced 600 bicycles.
Problem 3
A library is being restocked with books. Each shipment contains 200 books, and the library receives 4 shipments. How many books are delivered to the library?
800 books
Explanation
Each shipment has 200 books. To calculate the total number of books delivered in 4 shipments, multiply:
Books per shipment = 200
Number of shipments = 4
200 × 4 = 800
The library receives 800 books in total.
Problem 4
A printing company prints 200 flyers per batch for a marketing campaign. If they need to print flyers for 6 different campaigns, how many flyers will they print in total?
1200 flyers
Explanation
Each campaign requires 200 flyers. To find the total number of flyers printed for 6 campaigns, multiply:
Flyers per campaign = 200
Number of campaigns = 6
200 × 6 = 1200
Therefore, they will print 1200 flyers.
Problem 5
A farmer is harvesting apples from his orchard. He collects 200 apples per tree. If he has 7 apple trees, how many apples does he collect?
1400 apples
Explanation
Each tree yields 200 apples. To find the total number of apples collected from 7 trees, multiply:
Apples per tree = 200
Number of trees = 7
200 × 7 = 1400
Thus, the farmer collects 1400 apples.
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FAQs on Multiples of 200
1.How do you find the multiples of 200?
2.What is the LCM of 200 and 250?
3.What are the real-life applications of Multiples of 200?
4.Are multiples of 200 finite or infinite?
5.Is there any odd multiple of 200?
6.How can poems help children in Thailand memorize the Multiplication Table and Multiples of 200?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 200 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 200?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 200 among early learners in Thailand?
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Important Glossaries for Multiples of 200
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 200 include 200, 400, 600, 800, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 200 are the numbers that consist of the number pattern of 200.
- 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 200 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 5, 10, 20, 25, 40, 50, 100, and 200 are the divisors of 200.
- LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 200 and 250 is 1000.
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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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