127 LearnersLast updated on May 26th, 2025
Multiples of 378
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 378.
What are the Multiples of 378?
Now, let us learn more about multiples of 378. Multiples of 378 are the numbers you get when you multiply 378 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 378 can be denoted as 378 × 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 378 × 1 will give us 378 as the product. Multiples of 378 will be larger or equal to 378.
List of First 20 Multiples of 378
Multiples of 378 include the products of 378 and an integer. Multiples of 378 are divisible by 378 evenly. The first few multiples of 378 are given below:
| TABLE OF 378 (1-10) | |
|---|---|
|
378 x 1 = 378 |
378 x 6 = 2268 |
|
378 x 2 = 756 |
378 x 7 = 2646 |
|
378 x 3 = 1134 |
378 x 8 = 3024 |
|
378 x 4 = 1512 |
378 x 9 = 3402 |
|
378 x 5 = 1890 |
378 x 10 = 3780 |
| TABLE OF 378 (11-20) | |
|---|---|
|
378 x 11 = 4158 |
378 x 16 = 6048 |
|
378 x 12 = 4536 |
378 x 17 = 6426 |
|
378 x 13 = 4914 |
378 x 18 = 6804 |
|
378 x 14 = 5292 |
378 x 19 = 7182 |
|
378 x 15 = 5670 |
378 x 20 = 7560 |
Now, we know the first few multiples of 378. They are 0, 378, 756, 1134, 1512, 1890, 2268, 2646, 3024, 3402, 3780,...
Operations with Multiples of 378
Understanding the multiples of 378 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 378, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 378:
378, 756, 1134, 1512, and 1890 are the first five multiples of 378. When multiplying 378 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
378 + 756 + 1134 + 1512 + 1890 = 5670
When we add the first 5 multiples of 378 the answer will be 5670.
Subtraction of first 5 Multiples of 378:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 378, 756, 1134, 1512, and 1890 are the first five multiples of 378. So, let us calculate it as given below:
378 - 756 = -378
-378 - 1134 = -1512
-1512 - 1512 = -3024
-3024 - 1890 = -4914
Hence, the result of subtracting the first 5 multiples of 378 is -4914.
Average of first 5 Multiples of 378:
To calculate the average, we need to identify the sum of the first 5 multiples of 378, 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 378 is 5670.
378 + 756 + 1134 + 1512 + 1890 = 5670
Next, divide the sum by 5:
5670 ÷ 5 = 1134
1134 is the average of the first 5 multiples of 378.
Product of First 5 Multiples of 378:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 378 include: 378, 756, 1134, 1512, and 1890. Now, the product of these numbers is:
378 × 756 × 1134 × 1512 × 1890 = 65,387,614,017,280
The product of the first 5 multiples of 378 is 65,387,614,017,280.
Division of First 5 Multiples of 378:
While we perform division, we get to know how many times 378 can fit into each of the given multiples. 378, 756, 1134, 1512, and 1890 are the first 5 multiples of 378.
378 ÷ 378 = 1
756 ÷ 378 = 2
1134 ÷ 378 = 3
1512 ÷ 378 = 4
1890 ÷ 378 = 5
The results of dividing the first 5 multiples of 378 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 378
While working with Multiples of 378, 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 378. 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 378 refer to the products we get while multiplying 378 with other numbers. For example, multiples of 378 include 0, 378, 756, 1134, 1512, 1890, 2268, 2646, 3024, 3402, 3780….
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, and 378. When 378 is divided by any of these numbers, the remainder will be zero. These are the factors of 378 meaning that these numbers can divide 378 without any remainder.
Factors of 378:
378 ÷ 1 = 378
378 ÷ 2 = 189
378 ÷ 3 = 126
378 ÷ 6 = 63
Multiples of 378 Examples
Problem 1
A toy factory produces toy cars in batches, where each batch contains 378 toy cars. If the factory produces 5 batches of toy cars in a week, how many toy cars does the factory produce in total for that week?
1,890 toy cars
Explanation
To calculate the total number of toy cars produced in a week, multiply the number of cars per batch by the number of batches.
Toy cars per batch = 378
Number of batches = 5
378 × 5 = 1,890
Therefore, the factory produces 1,890 toy cars in a week
Problem 2
A farmer is planting trees in his orchard. He plants trees in three sections of his orchard, following the order of the first three multiples of 378. How many trees are planted in each section of the orchard?
The first three multiples of 378 are 378, 756, and 1,134. The farmer plants 378, 756, and 1,134 trees in each respective section.
Explanation
Identify the first three multiples of 378:
378 × 1 = 378
378 × 2 = 756
378 × 3 = 1,134
Thus, the farmer plants 378 trees in the first section, 756 in the second, and 1,134 in the third section.
Problem 3
In a large conference room, there are 378 chairs. Each row contains exactly 9 chairs. How many rows of chairs are there?
42 rows
Explanation
To find the number of rows, divide the total number of chairs by the number of chairs per row.
Total number of chairs = 378
Number of chairs per row = 9
378 ÷ 9 = 42
Therefore, there are 42 rows of chairs.
Problem 4
A bookstore organizes a book reading event every month. They distribute 378 bookmarks each month. If the event continues for 8 months, how many bookmarks will they distribute in total?
3,024 bookmarks
Explanation
Multiply the number of bookmarks distributed each month by the number of months the event continues.
Bookmarks per month = 378
Number of months = 8
378 × 8 = 3,024
Therefore, they will distribute 3,024 bookmarks in total over 8 months.
Problem 5
A school cafeteria serves lunch in sets of trays, where each set contains 378 trays. If the cafeteria serves 2 sets of trays each day, how many trays are served in 7 days?
5,292 trays
Explanation
Calculate the total number of trays served by multiplying the number of trays per set by the number of sets per day, and then by the number of days.
Trays per set = 378
Sets per day = 2
Number of days = 7
378 × 2 × 7 = 5,292
Therefore, the cafeteria serves 5,292 trays in 7 days.
FAQs on Multiples of 378
1.How do you find the multiples of 378?
2.What is the LCM of 7 and 378?
3.What are the real-life applications of Multiples of 378?
4.Are multiples of 378 finite or infinite?
5.Is there any odd multiples of 378?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 378?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 378 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 378?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 378 among early learners in Vietnam?
Important Glossaries for Multiples of 378
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 378 include 378, 756, 1134, 1512, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 378 are the numbers that consist of the number pattern of 378.
- 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 378 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, and 378 are the divisors of 378.
- LCM (Least Common Multiple): This is the smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 378 is 378.
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