127 LearnersLast updated on May 26th, 2025
Multiples of 676
In math, multiples are the products we get when 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 676.
What are the Multiples of 676?
Now, let us learn more about multiples of 676. Multiples of 676 are the numbers you get when you multiply 676 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 676 can be denoted as 676 × 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 676 × 1 will give us 676 as the product. Multiples of 676 will be larger or equal to 676.
List of First 20 Multiples of 676
Multiples of 676 include the products of 676 and an integer. Multiples of 676 are divisible by 676 evenly. The first few multiples of 676 are given below:
| TABLE OF 676 (1-10) | |
|---|---|
|
676 x 1 = 676 |
676 x 6 = 4056 |
|
676 x 2 = 1352 |
676 x 7 = 4732 |
|
676 x 3 = 2028 |
676 x 8 = 5408 |
|
676 x 4 = 2704 |
676 x 9 = 6084 |
|
676 x 5 = 3380 |
676 x 10 = 6760 |
| TABLE OF 676 (11-20) | |
|---|---|
|
676 x 11 = 7436 |
676 x 16 = 10816 |
|
676 x 12 = 8112 |
676 x 17 = 11492 |
|
676 x 13 = 8788 |
676 x 18 = 12168 |
|
676 x 14 = 9464 |
676 x 19 = 12844 |
|
676 x 15 = 10140 |
676 x 20 = 13520 |
Now, we know the first few multiples of 676. They are 0, 676, 1352, 2028, 2704, 3380, 4056, 4732, 5408, 6084, 6760,...
Operations with Multiples of 676
Understanding the multiples of 676 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 676, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 676:
676, 1352, 2028, 2704, and 3380 are the first five multiples of 676. When multiplying 676 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
676 + 1352 + 2028 + 2704 + 3380 = 10140
When we add the first 5 multiples of 676 the answer will be 10140.
Subtraction of first 5 Multiples of 676:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 676, 1352, 2028, 2704, and 3380 are the first five multiples of 676. So, let us calculate it as given below:
676 - 1352 = -676
-676 - 2028 = -2704
-2704 - 2704 = -5408
-5408 - 3380 = -8788
Hence, the result of subtracting the first 5 multiples of 676 is -8788.
Average of first 5 Multiples of 676:
To calculate the average, we need to identify the sum of the first 5 multiples of 676, 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 676 is 10140.
676 + 1352 + 2028 + 2704 + 3380 = 10140
Next, divide the sum by 5:
10140 ÷ 5 = 2028
2028 is the average of the first 5 multiples of 676.
Product of First 5 Multiples of 676:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 676 include: 676, 1352, 2028, 2704, and 3380. Now, the product of these numbers is:
676 × 1352 × 2028 × 2704 × 3380 = 6,021,844,048,960
The product of the first 5 multiples of 676 is 6,021,844,048,960.
Division of First 5 Multiples of 676:
While we perform division, we get to know how many times 676 can fit into each of the given multiples. 676, 1352, 2028, 2704, and 3380 are the first 5 multiples of 676.
676 ÷ 676 = 1
1352 ÷ 676 = 2
2028 ÷ 676 = 3
2704 ÷ 676 = 4
3380 ÷ 676 = 5
The results of dividing the first 5 multiples of 676 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 676
While working with Multiples of 676, 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 676. 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 676 refer to the products we get while multiplying 676 with other numbers. For example, multiples of 676 include 0, 676, 1352, 2028, 2704, 3380, 4056, 4732, 5408, 6084, 6760….
The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, and 676. When 676 is divided by these numbers the remainder will be zero. These are the factors of 676 meaning that these numbers can divide 676 without any remainder.
Multiples of 676 Examples
Problem 1
In a science fiction novel, a spaceship travels a distance of 676 units each day. If the spaceship continues this journey for 7 days, how far will it have traveled?
4,732 units
Explanation
Each day the spaceship travels 676 units. To find the total distance traveled in 7 days, we multiply 676 by 7.
Distance traveled each day = 676
Number of days = 7
676 × 7 = 4,732
The spaceship will have traveled 4,732 units in 7 days.
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Problem 2
A factory produces gadgets in batches of 676. If the factory completes 3 batches in one week, how many gadgets are produced in total?
2,028 gadgets
Explanation
The factory produces 676 gadgets in each batch. To find the total number of gadgets produced after 3 batches, multiply 676 by 3.
Gadgets per batch = 676
Number of batches = 3
676 × 3 = 2,028
Therefore, the factory produces 2,028 gadgets in total.
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Problem 3
A library adds books to its collection in multiples of 676 every month. If it continues this for 5 months, how many books will the library have added?
3,380 books
Explanation
Each month, the library adds 676 books. To find the total number of books added after 5 months, multiply 676 by 5.
Books added each month = 676
Number of months = 5
676 × 5 = 3,380
The library will have added 3,380 books in 5 months.
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Problem 4
In a video game, a player earns 676 points every time they complete a certain level. If the player completes this level 6 times, how many points will they have earned?
4,056 points
Explanation
The player earns 676 points per level. To find the total points earned after completing the level 6 times, multiply 676 by 6.
Points per level = 676
Number of levels completed = 6
676 × 6 = 4,056
Thus, the player earns 4,056 points in total.
---
Problem 5
A concert hall has seating arranged in sections, with each section having 676 seats. If there are 4 sections, how many seats are there in total?
2,704 seats
Explanation
Each section contains 676 seats. To find the total number of seats in 4 sections, multiply 676 by 4.
Seats per section = 676
Number of sections = 4
676 × 4 = 2,704
Therefore, there are 2,704 seats in total in the concert hall.
FAQs on Multiples of 676
1.How do you find the multiples of 676?
2.What is the LCM of 5 and 676?
3.What are the real-life applications of Multiples of 676?
4.Are multiples of 676 finite or infinite?
5.Is there any odd multiples of 676?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 676?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 676 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 676?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 676 among early learners in Vietnam?
Important Glossaries for Multiples of 676
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 676 include 676, 1352, 2028, 2704, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 676 are the numbers that consist of the number pattern of 676.
- 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 676 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 13, 26, 52, 169, 338, and 676 are the divisors of 676.
- Infinite: Refers to a quantity that is limitless or endless. Multiples of a number are infinite.
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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.
Fun Fact
: She has songs for each table which helps her to remember the tables
