112 LearnersLast updated on May 26th, 2025
Multiples of 1200
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 1200.
What are the Multiples of 1200?
Now, let us learn more about multiples of 1200. Multiples of 1200 are the numbers you get when you multiply 1200 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 1200 can be denoted as 1200 × 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 1200 × 1 will give us 1200 as the product. Multiples of 1200 will be larger or equal to 1200.
List of First 20 Multiples of 1200
Multiples of 1200 include the products of 1200 and an integer. Multiples of 1200 are divisible by 1200 evenly. The first few multiples of 1200 are given below:
| TABLE OF 1200 (1-10) | |
|---|---|
|
1200 x 1 = 1200 |
1200 x 6 = 7200 |
|
1200 x 2 = 2400 |
1200 x 7 = 8400 |
|
1200 x 3 = 3600 |
1200 x 8 = 9600 |
|
1200 x 4 = 4800 |
1200 x 9 = 10800 |
|
1200 x 5 = 6000 |
1200 x 10 = 12000 |
| TABLE OF 1200 (11-20) | |
|---|---|
|
1200 x 11 = 13200 |
1200 x 16 = 19200 |
|
1200 x 12 = 14400 |
1200 x 17 = 20400 |
|
1200 x 13 = 15600 |
1200 x 18 = 21600 |
|
1200 x 14 = 16800 |
1200 x 19 = 22800 |
|
1200 x 15 = 18000 |
1200 x 20 = 24000 |
Now, we know the first few multiples of 1200. They are 0, 1200, 2400, 3600, 4800, 6000, 7200, 8400, 9600, 10800, 12000,...
Operations with Multiples of 1200
Understanding the multiples of 1200 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 1200, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 1200:
1200, 2400, 3600, 4800, and 6000 are the first five multiples of 1200. When multiplying 1200 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
1200 + 2400 + 3600 + 4800 + 6000 = 18000
When we add the first 5 multiples of 1200, the answer will be 18000.
Subtraction of first 5 Multiples of 1200:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 1200, 2400, 3600, 4800, and 6000 are the first five multiples of 1200. So, let us calculate it as given below:
1200 - 2400 = -1200
-1200 - 3600 = -4800
-4800 - 4800 = -9600
-9600 - 6000 = -15600
Hence, the result of subtracting the first 5 multiples of 1200 is -15600.
Average of first 5 Multiples of 1200:
To calculate the average, we need to identify the sum of the first 5 multiples of 1200, 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 1200 is 18000.
1200 + 2400 + 3600 + 4800 + 6000 = 18000
Next, divide the sum by 5:
18000 ÷ 5 = 3600
3600 is the average of the first 5 multiples of 1200.
Product of First 5 Multiples of 1200:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 1200 include: 1200, 2400, 3600, 4800, and 6000. Now, the product of these numbers is:
1200 × 2400 × 3600 × 4800 × 6000 = 2.48832 × 10^20
The product of the first 5 multiples of 1200 is a large number.
Division of First 5 Multiples of 1200:
While we perform division, we get to know how many times 1200 can fit into each of the given multiples. 1200, 2400, 3600, 4800, and 6000 are the first 5 multiples of 1200.
1200 ÷ 1200 = 1
2400 ÷ 1200 = 2
3600 ÷ 1200 = 3
4800 ÷ 1200 = 4
6000 ÷ 1200 = 5
The results of dividing the first 5 multiples of 1200 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 1200
While working with multiples of 1200, 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 1200. 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 1200 refer to the products we get while multiplying 1200 with other numbers. For example, multiples of 1200 include 0, 1200, 2400, 3600, 4800, 6000, 7200, 8400, etc.
The factors of 1200 include numbers like 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, and 1200.
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 1200 include 1200, 2400, 3600, 4800, 6000, 7200, ….. 12000, 13200,...
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 1200, the result will still be a multiple of 1200. For example, children may write,
1200 + 2400 = 3500, (which is wrong and the correct answer is 3600)
This is incorrect because 3500 is not a multiple of 1200. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 1200.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 1200, and any other number, is zero, it has a valid value. Remember this:
1200 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 1200 + 1200 + 1200 + 1200 + 1200. Instead of adding too many values, use multiplication. Calculate 1200 × n for the nth multiple.
For example, instead of 1200 + 1200 + 1200 + 1200 + 1200, calculate it as given below:
1200 × 5 = 6000
Multiples of 1200 Examples
Problem 1
A construction company is working on building new apartments. Each building requires 1200 bricks to complete one floor. If they plan to construct 5 floors for each building, how many bricks will they need in total for one building?
6000 bricks
Explanation
To find the total number of bricks needed for one building, multiply the number of bricks per floor by the number of floors.
Bricks per floor = 1200
Number of floors = 5
1200 × 5 = 6000
They will need a total of 6000 bricks for one building.
Problem 2
In a library, a new shipment of books arrives every month, and each shipment contains 1200 books. Over the course of a year (12 months), how many books will the library receive in total?
14400 books
Explanation
To find the total number of books received in a year, multiply the number of books in each shipment by the number of months.
Books per shipment = 1200
Number of months = 12
1200 × 12 = 14400
The library will receive a total of 14400 books in a year.
Problem 3
A company produces 1200 units of a product every day. If they operate for 7 days a week, how many units will they produce in a week?
8400 units
Explanation
To find the total number of units produced in a week, multiply the daily production by the number of days in a week.
Units per day = 1200
Number of days in a week = 7
1200 × 7 = 8400
The company will produce 8400 units in a week.
Problem 4
A stadium has a seating capacity of 1200 seats. During a tournament, 8 matches are scheduled, and each match is expected to fill the stadium to capacity. How many people will have attended the tournament by the end?
9600 people
Explanation
To find the total number of attendees, multiply the seating capacity by the number of matches.
Seating capacity = 1200
Number of matches = 8
1200 × 8 = 9600
A total of 9600 people will have attended the tournament.
Problem 5
An IT firm sets a data transfer target of 1200 GB per project. If they complete 4 projects in a quarter, how much data will they have transferred in total by the end of the quarter?
4800 GB
Explanation
To find the total data transferred, multiply the data per project by the number of projects.
Data per project = 1200 GB
Number of projects = 4
1200 × 4 = 4800
The firm will have transferred a total of 4800 GB by the end of the quarter.
FAQs on Multiples of 1200
1.How do you find the multiples of 1200?
2.What is the LCM of 7 and 1200?
3.What are the real-life applications of Multiples of 1200?
4.Are multiples of 1200 finite or infinite?
5.Is there any odd multiple of 1200?
6.How can poems help children in Philippines memorize the Multiplication Table and Multiples of 1200?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 1200 challenges for kids in Philippines?
8.How do language and cultural differences in Philippines affect the way children learn the Multiplication Table and Multiples of 1200?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 1200 among early learners in Philippines?
Important Glossaries for Multiples of 1200
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 1200 include 1200, 2400, 3600, 4800, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 1200 are the numbers that consist of the number pattern of 1200.
- 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 1200 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, and 6 are some of the divisors of 1200.
- Factor: A factor is a number that divides another number completely without leaving any remainder. For example, 1, 2, 3, 4, 5, and 6 are factors of 1200.
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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.
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