126 LearnersLast updated on May 26th, 2025
Multiples of 408
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 408.
What are the Multiples of 408?
Now, let us learn more about multiples of 408. Multiples of 408 are the numbers you get when you multiply 408 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 408 can be denoted as 408 × 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 408 × 1 will give us 408 as the product. Multiples of 408 will be larger or equal to 408.
List of First 20 Multiples of 408
Multiples of 408 include the products of 408 and an integer. Multiples of 408 are divisible by 408 evenly. The first few multiples of 408 are given below:
| TABLE OF 408 (1-10) | |
|---|---|
|
408 x 1 = 408 |
408 x 6 = 2448 |
|
408 x 2 = 816 |
408 x 7 = 2856 |
|
408 x 3 = 1224 |
408 x 8 = 3264 |
|
408 x 4 = 1632 |
408 x 9 = 3672 |
|
408 x 5 = 2040 |
408 x 10 = 4080 |
| TABLE OF 408 (11-20) | |
|---|---|
|
408 x 11 = 4488 |
408 x 16 = 6528 |
|
408 x 12 = 4896 |
408 x 17 = 6936 |
|
408 x 13 = 5304 |
408 x 18 = 7344 |
|
408 x 14 = 5712 |
408 x 19 = 7752 |
|
408 x 15 = 6120 |
408 x 20 = 8160 |
Now, we know the first few multiples of 408. They are 0, 408, 816, 1224, 1632, 2040, 2448, 2856, 3264, 3672, 4080,...
Operations with Multiples of 408
Understanding the multiples of 408 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 408, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 408:
408, 816, 1224, 1632, and 2040 are the first five multiples of 408. When multiplying 408 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
408 + 816 + 1224 + 1632 + 2040 = 6120
When we add the first 5 multiples of 408, the answer will be 6120.
Subtraction of first 5 Multiples of 408:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 408, 816, 1224, 1632, and 2040 are the first five multiples of 408. So, let us calculate it as given below:
408 - 816 = -408
-408 - 1224 = -1632
-1632 - 1632 = -3264
-3264 - 2040 = -5304
Hence, the result of subtracting the first 5 multiples of 408 is -5304.
Average of first 5 Multiples of 408:
To calculate the average, we need to identify the sum of the first 5 multiples of 408, 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 408 is 6120.
408 + 816 + 1224 + 1632 + 2040 = 6120
Next, divide the sum by 5:
6120 ÷ 5 = 1224
1224 is the average of the first 5 multiples of 408.
Product of First 5 Multiples of 408:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 408 include: 408, 816, 1224, 1632, and 2040. Now, the product of these numbers is:
408 × 816 × 1224 × 1632 × 2040 = 4,158,473,850,880
The product of the first 5 multiples of 408 is 4,158,473,850,880.
Division of First 5 Multiples of 408:
While we perform division, we get to know how many times 408 can fit into each of the given multiples. 408, 816, 1224, 1632, and 2040 are the first 5 multiples of 408.
408 ÷ 408 = 1
816 ÷ 408 = 2
1224 ÷ 408 = 3
1632 ÷ 408 = 4
2040 ÷ 408 = 5
The results of dividing the first 5 multiples of 408 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 408
While working with multiples of 408, 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 408. 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 408 refer to the products we get while multiplying 408 with other numbers. For example, multiples of 408 include 0, 408, 816, 1224, 1632, 2040, 2448, 2856, 3264, 3672, 4080….
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, and 408. When 408 is divided by these numbers, the remainder will be zero. These are the factors of 408 meaning that these numbers can divide 408 without any remainder.
Multiples of 408 Examples
Problem 1
A large company is organizing a batch training program for its employees. Each batch can accommodate exactly 408 employees. If the company plans to conduct 5 such training sessions over the next few months, how many employees will be trained in total?
2040 employees
Explanation
Each training session includes 408 employees. To find the total number of employees trained, multiply the number of sessions by the number of employees per session.
Employees per session = 408
Number of sessions = 5
408 × 5 = 2040
Therefore, 2040 employees will be trained in total.
Problem 2
A publishing house is printing copies of a new book. Each batch of printing produces 408 copies. If they print the first three batches, how many copies will they have printed in total?
1224 copies
Explanation
The first three batches produce 408 copies each. To calculate the total number of copies:
First batch = 408
Second batch = 408
Third batch = 408
408 × 3 = 1224
Thus, the publishing house will have printed a total of 1224 copies.
Problem 3
A concert hall has 408 seats arranged in a rectangular pattern for an event. If each row contains 12 seats, how many rows are there in total?
34 rows
Explanation
To find the number of rows, divide the total number of seats by the number of seats per row.
Total seats = 408
Seats per row = 12
408 ÷ 12 = 34
Therefore, there are 34 rows in total.
Problem 4
A library is storing its digital archives on servers. Each server can hold 408 gigabytes of data. If the library has data that needs to be stored across 7 servers, how much total data will be stored?
2856 gigabytes
Explanation
To calculate the total data storage capacity, multiply the number of servers by the data each server can hold.
Data per server = 408 GB
Number of servers = 7
408 × 7 = 2856
So, a total of 2856 gigabytes of data will be stored.
Problem 5
A school is organizing a field trip and needs to arrange transportation. Each bus can carry 408 students. If they arrange for 3 buses, how many students can they transport in total?
1224 students
Explanation
To find the total number of students that can be transported, multiply the number of buses by the capacity of each bus.
Students per bus = 408
Number of buses = 3
408 × 3 = 1224
Therefore, they can transport 1224 students in total.
FAQs on Multiples of 408
1.How do you find the multiples of 408?
2.What is the LCM of 7 and 408?
3.What are the real-life applications of Multiples of 408?
4.Is there any odd multiple of 408?
5.What are the real-life applications of Multiples of 408?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 408?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 408 challenges for kids in United States?
8.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 408?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 408 among early learners in United States?
Important Glossaries for Multiples of 408
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 408 include 408, 816, 1224, 1632, etc.
- Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 408 are the numbers that consist of the number pattern of 408.
- 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 408 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, and 408 are the divisors of 408.
- Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each of the numbers in a set. For example, the LCM of 7 and 408 is 2856.
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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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