117 LearnersLast updated on May 26th, 2025
Multiples of 78
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 78.
What are the Multiples of 78?
Now, let us learn more about multiples of 78. Multiples of 78 are the numbers you get when you multiply 78 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 78 can be denoted as 78 × 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 78 × 1 will give us 78 as the product. Multiples of 78 will be larger or equal to 78.
List of First 20 Multiples of 78
Multiples of 78 include the products of 78 and an integer. Multiples of 78 are divisible by 78 evenly. The first few multiples of 78 are given below:
| TABLE OF 78 (1-10) | |
|---|---|
|
78 x 1 = 78 |
78 x 6 = 468 |
|
78 x 2 = 156 |
78 x 7 = 546 |
|
78 x 3 = 234 |
78 x 8 = 624 |
|
78 x 4 = 312 |
78 x 9 = 702 |
|
78 x 5 = 390 |
78 x 10 = 780 |
| TABLE OF 78 (11-20) | |
|---|---|
|
78 x 11 = 858 |
78 x 16 = 1248 |
|
78 x 12 = 936 |
78 x 17 = 1326 |
|
78 x 13 = 1014 |
78 x 18 = 1404 |
|
78 x 14 = 1092 |
78 x 19 = 1482 |
|
78 x 15 = 1170 |
78 x 20 = 1560 |
Now, we know the first few multiples of 78. They are 0, 78, 156, 234, 312, 390, 468, 546, 624, 702, 780,...
Operations with Multiples of 78
Understanding the multiples of 78 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 78, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 78:
78, 156, 234, 312, and 390 are the first five multiples of 78. When multiplying 78 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
78 + 156 + 234 + 312 + 390 = 1170
When we add the first 5 multiples of 78, the answer will be 1170.
Subtraction of First 5 Multiples of 78:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 78, 156, 234, 312, and 390 are the first five multiples of 78. So, let us calculate it as given below:
78 - 156 = -78
-78 - 234 = -312
-312 - 312 = -624
-624 - 390 = -1014
Hence, the result of subtracting the first 5 multiples of 78 is -1014.
Average of First 5 Multiples of 78:
To calculate the average, we need to identify the sum of the first 5 multiples of 78 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 78 is 1170.
78 + 156 + 234 + 312 + 390 = 1170
Next, divide the sum by 5:
1170 ÷ 5 = 234
234 is the average of the first 5 multiples of 78.
Product of First 5 Multiples of 78:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 78 include: 78, 156, 234, 312, and 390. Now, the product of these numbers is:
78 × 156 × 234 × 312 × 390 = 1,488,034,560
The product of the first 5 multiples of 78 is 1,488,034,560.
Division of First 5 Multiples of 78:
While we perform division, we get to know how many times 78 can fit into each of the given multiples. 78, 156, 234, 312, and 390 are the first 5 multiples of 78.
78 ÷ 78 = 1
156 ÷ 78 = 2
234 ÷ 78 = 3
312 ÷ 78 = 4
390 ÷ 78 = 5
The results of dividing the first 5 multiples of 78 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 78
While working with multiples of 78, 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 78. 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 78 refer to the products we get while multiplying 78 with other numbers. For example, multiples of 78 include 0, 78, 156, 234, 312, 390, 468, 546, 624, 702, 780,…
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78. When 78 is divided by any of these numbers, the remainder will be zero. These are the factors of 78, meaning that these numbers can divide 78 without any remainder.
Factors of 78:
78 ÷ 1 = 78
78 ÷ 2 = 39
78 ÷ 3 = 26
78 ÷ 6 = 13
78 ÷ 13 = 6
78 ÷ 26 = 3
78 ÷ 39 = 2
78 ÷ 78 = 1
Multiples of 78 Examples
Problem 1
Maya is organizing a charity event that requires seating arrangements. Each table can seat 78 people. If Maya sets up 5 tables, how many people can be accommodated in total?
390 people
Explanation
Each table seats 78 people. To find the total number of people that can be seated, multiply the number of tables by the seating capacity of each table.
Number of tables = 5
Seating per table = 78
5 × 78 = 390
Therefore, 390 people can be accommodated in total.
Problem 2
A factory produces toy cars in batches. Each batch contains 78 toy cars. If the factory produces 3 batches in a day, how many toy cars are produced in a day?
234 toy cars
Explanation
The factory produces 78 toy cars per batch. To find the total number of toy cars produced in a day, multiply the number of batches by the number of toy cars per batch.
Number of batches = 3
Toy cars per batch = 78
3 × 78 = 234
Thus, the factory produces 234 toy cars in a day.
Problem 3
During a marathon event, there are refreshment stations every 78 meters along the route. If the marathon route is 780 meters long, how many refreshment stations are there?
10 stations
Explanation
Refreshment stations are placed every 78 meters. To find the number of stations, divide the total length of the route by the distance between stations.
Total route length = 780 meters
Distance between stations = 78 meters
780 ÷ 78 = 10
Therefore, there are 10 refreshment stations along the route.
Problem 4
A concert hall has seating sections that accommodate 78 people each. If there are 9 sections filled to capacity, how many people are attending the concert?
702 people
Explanation
Each section can seat 78 people. To find the total number of attendees, multiply the number of sections by the seating capacity of each section.
Number of sections = 9
Seating per section = 78
9 × 78 = 702
Thus, 702 people are attending the concert.
Problem 5
Lila is planning to distribute flyers for a community event. She plans to distribute 78 flyers in each neighborhood. If she covers 6 neighborhoods, how many flyers will she distribute in total?
468 flyers
Explanation
Lila distributes 78 flyers in each neighborhood. To find the total number of flyers distributed, multiply the number of neighborhoods by the number of flyers per neighborhood.
Number of neighborhoods = 6
Flyers per neighborhood = 78
6 × 78 = 468
Therefore, Lila will distribute a total of 468 flyers.
FAQs on Multiples of 78
1.How do you find the multiples of 78?
2.What is the LCM of 7 and 78?
3.What are the real-life applications of Multiples of 78?
4.Are multiples of 78 finite or infinite?
5. Is there any odd multiple of 78?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 78?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 78 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 78?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 78 among early learners in United States?
Important Glossaries for Multiples of 78
- Multiple: A multiple represents the product of a number multiplied by an integer. For example, multiples of 78 include 78, 156, 234, 312, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 78 are the numbers that consist of the number pattern of 78.
- 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 78 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 13, 26, 39, and 78 are the divisors of 78.
- Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each number in a set of numbers. For example, the LCM of 7 and 78 is 546.
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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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