125 LearnersLast updated on May 26th, 2025
Multiples of 400
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 400.
What are the Multiples of 400?
Now, let us learn more about multiples of 400. Multiples of 400 are the numbers you get when you multiply 400 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 400 can be denoted as 400 × 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 400 × 1 will give us 400 as the product. Multiples of 400 will be larger or equal to 400.
List of First 20 Multiples of 400
Multiples of 400 include the products of 400 and an integer. Multiples of 400 are divisible by 400 evenly. The first few multiples of 400 are given below:
| TABLE OF 400 (1-10) | |
|---|---|
|
400 x 1 = 400 |
400 x 6 = 2400 |
|
400 x 2 = 800 |
400 x 7 = 2800 |
|
400 x 3 = 1200 |
400 x 8 = 3200 |
|
400 x 4 = 1600 |
400 x 9 = 3600 |
|
400 x 5 = 2000 |
400 x 10 = 4000 |
| TABLE OF 400 (11-20) | |
|---|---|
|
400 x 11 = 4400 |
400 x 16 = 6400 |
|
400 x 12 = 4800 |
400 x 17 = 6800 |
|
400 x 13 = 5200 |
400 x 18 = 7200 |
|
400 x 14 = 5600 |
400 x 19 = 7600 |
|
400 x 15 = 6000 |
400 x 20 = 8000 |
Now, we know the first few multiples of 400. They are 0, 400, 800, 1200, 1600, 2000, 2400, 2800, 3200, 3600, 4000,...
Operations with Multiples of 400
Understanding the multiples of 400 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 400, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 400:
400, 800, 1200, 1600, and 2000 are the first five multiples of 400. When multiplying 400 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
400 + 800 + 1200 + 1600 + 2000 = 6000
When we add the first 5 multiples of 400, the answer will be 6000.
Subtraction of first 5 Multiples of 400:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 400, 800, 1200, 1600, and 2000 are the first five multiples of 400. So, let us calculate it as given below:
400 - 800 = -400
-400 - 1200 = -1600
-1600 - 1600 = -3200
-3200 - 2000 = -5200
Hence, the result of subtracting the first 5 multiples of 400 is -5200.
Average of first 5 Multiples of 400:
To calculate the average, we need to identify the sum of the first 5 multiples of 400, 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 400 is 6000.
400 + 800 + 1200 + 1600 + 2000 = 6000
Next, divide the sum by 5:
6000 ÷ 5 = 1200
1200 is the average of the first 5 multiples of 400.
Product of First 5 Multiples of 400:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 400 include: 400, 800, 1200, 1600, and 2000. Now, the product of these numbers is:
400 × 800 × 1200 × 1600 × 2000 = 614,400,000,000,000
The product of the first 5 multiples of 400 is 614,400,000,000,000.
Division of First 5 Multiples of 400:
While we perform division, we get to know how many times 400 can fit into each of the given multiples. 400, 800, 1200, 1600, and 2000 are the first 5 multiples of 400.
400 ÷ 400 = 1
800 ÷ 400 = 2
1200 ÷ 400 = 3
1600 ÷ 400 = 4
2000 ÷ 400 = 5
The results of dividing the first 5 multiples of 400 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 400
While working with Multiples of 400, 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 400. 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 400 refer to the products we get while multiplying 400 with other numbers. For example, multiples of 400 include 0, 400, 800, 1200, 1600, 2000, 2400, 2800, 3200, 3600, 4000,…
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, and 400. When 400 is divided by these numbers, the remainder will be zero. These numbers can divide 400 without any remainder.
Factors of 400:
400 ÷ 1 = 400
400 ÷ 2 = 200
400 ÷ 4 = 100
400 ÷ 400 = 1
Multiples of 400 Examples
Problem 1
In a large company, each department orders 400 sheets of paper every month for printing. If there are 6 departments in the company, how many sheets of paper will they order in total after 3 months?
7,200 sheets of paper
Explanation
Each department orders 400 sheets per month. With 6 departments, the total order per month is calculated by multiplying the number of departments by the sheets ordered per department.
Sheets per department per month = 400
Number of departments = 6
Number of months = 3
400 × 6 × 3 = 7,200
Thus, they will order 7,200 sheets of paper in total after 3 months.
Problem 2
During a fundraising event, a charity plans to distribute gift cards in the form of multiples of 400 dollars. If the first three donors receive gift cards valued at the first three multiples of 400, how much does each donor receive?
The first three multiples of 400 are 400, 800, and 1,200. The first donor receives 400, the second donor receives 800, and the third donor receives 1,200.
Explanation
Identify the first three multiples of 400:
400 × 1 = 400
400 × 2 = 800
400 × 3 = 1,200
Therefore, the first donor receives 400, the second donor 800, and the third donor 1,200 dollars.
Problem 3
A furniture store has 400 chairs in each of its 5 branches. If each chair costs $50, how much revenue will the store generate if all chairs are sold?
$100,000
Explanation
First, calculate the total number of chairs:
Number of branches = 5
Chairs per branch = 400
Total chairs = 5 × 400 = 2,000
Then, calculate the total revenue from selling all chairs:
Revenue per chair = $50
Total revenue = 2,000 × 50 = $100,000
Therefore, the store will generate $100,000 in revenue if all chairs are sold.
Problem 4
A warehouse stores boxes on shelves, with each shelf holding 400 boxes. If the warehouse has 10 shelves, how many boxes are stored in total?
4,000 boxes
Explanation
Multiply the number of shelves by the number of boxes each shelf holds:
Number of shelves = 10
Boxes per shelf = 400
Total boxes = 10 × 400 = 4,000
So, there are 4,000 boxes stored in total in the warehouse.
Problem 5
A marathon organizer plans to distribute 400 medals for every milestone reached by participants. If there are 3 milestones, how many medals are distributed in total?
1,200 medals
Explanation
Multiply the number of milestones by the number of medals per milestone:
Milestones = 3
Medals per milestone = 400
Total medals = 3 × 400 = 1,200
Therefore, a total of 1,200 medals are distributed.
FAQs on Multiples of 400
1.How do you find the multiples of 400?
2.What is the LCM of 400 and 600?
3.What are the real-life applications of Multiples of 400?
4.Are multiples of 400 finite or infinite?
5.Is there any odd multiple of 400?
6.How can poems help children in Philippines memorize the Multiplication Table and Multiples of 400?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 400 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 400?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 400 among early learners in Philippines?
Important Glossaries for Multiples of 400
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 400 include 400, 800, 1200, 1600, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 400 are the numbers that consist of the number pattern of 400.
- 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 400 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, and 400 are the divisors of 400.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each number in a given set. For instance, the LCM of 400 and 600 is 1200.
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