120 LearnersLast updated on May 26th, 2025
Multiples of 68
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 68.
What are the Multiples of 68?
Now, let us learn more about multiples of 68. Multiples of 68 are the numbers you get when you multiply 68 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 68 can be denoted as 68 × 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 68 × 1 will give us 68 as the product. Multiples of 68 will be larger or equal to 68.
List of First 20 Multiples of 68
Multiples of 68 include the products of 68 and an integer. Multiples of 68 are divisible by 68 evenly. The first few multiples of 68 are given below:
| TABLE OF 68 (1-10) | |
|---|---|
|
68 x 1 = 68 |
68 x 6 = 408 |
|
68 x 2 = 136 |
68 x 7 = 476 |
|
68 x 3 = 204 |
68 x 8 = 544 |
|
68 x 4 = 272 |
68 x 9 = 612 |
|
68 x 5 = 340 |
68 x 10 = 680 |
| TABLE OF 68 (11-20) | |
|---|---|
|
68 x 11 = 748 |
68 x 16 = 1088 |
|
68 x 12 = 816 |
68 x 17 = 1156 |
|
68 x 13 = 884 |
68 x 18 = 1224 |
|
68 x 14 = 952 |
68 x 19 = 1292 |
|
68 x 15 = 1020 |
68 x 20 = 1360 |
Operations with Multiples of 68
Understanding the multiples of 68 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 68, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 68:
68, 136, 204, 272, and 340 are the first five multiples of 68. When multiplying 68 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
68 + 136 + 204 + 272 + 340 = 1020
When we add the first 5 multiples of 68, the answer will be 1020.
Subtraction of First 5 Multiples of 68:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 68, 136, 204, 272, and 340 are the first five multiples of 68. So, let us calculate it as given below:
68 - 136 = -68
-68 - 204 = -272
-272 - 272 = -544
-544 - 340 = -884
Hence, the result of subtracting the first 5 multiples of 68 is -884.
Average of First 5 Multiples of 68:
To calculate the average, we need to identify the sum of the first 5 multiples of 68 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 68 is 1020.
68 + 136 + 204 + 272 + 340 = 1020
Next, divide the sum by 5:
1020 ÷ 5 = 204
204 is the average of the first 5 multiples of 68.
Product of First 5 Multiples of 68:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 68 include 68, 136, 204, 272, and 340. Now, the product of these numbers is:
68 × 136 × 204 × 272 × 340 = 1,271,616,000,000
The product of the first 5 multiples of 68 is 1,271,616,000,000.
Division of First 5 Multiples of 68:
While we perform division, we get to know how many times 68 can fit into each of the given multiples. 68, 136, 204, 272, and 340 are the first 5 multiples of 68.
68 ÷ 68 = 1
136 ÷ 68 = 2
204 ÷ 68 = 3
272 ÷ 68 = 4
340 ÷ 68 = 5
The results of dividing the first 5 multiples of 68 are 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 68
While working with multiples of 68, 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 68. 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 68 refer to the products we get while multiplying 68 with other numbers. For example, multiples of 68 include 0, 68, 136, 204, 272, 340, 408, 476, 544, 612, 680,…
The factors of 68 are 1, 2, 4, 17, 34, and 68. When 68 is divided by these numbers, the remainder will be zero. These are the factors of 68, meaning that these numbers can divide 68 without any remainder.
Factors of 68:
68 ÷ 1 = 68
68 ÷ 2 = 34
68 ÷ 4 = 17
68 ÷ 17 = 4
68 ÷ 34 = 2
68 ÷ 68 = 1
Multiples of 68 Examples
Problem 1
A farmer is planning to plant trees along a long driveway. He decides to plant trees in groups of 68 at equal intervals. Every month, he plants another group of 68 trees. How many trees will he have planted along the driveway after 5 months?
340 trees
Explanation
Each month, the farmer plants 68 trees. To find the total number of trees planted after 5 months, we use multiplication. Multiply 68 by 5 to get the total number of trees.
Trees planted each month = 68
Number of months = 5
68 × 5 = 340
Therefore, he will have planted 340 trees after 5 months.
Problem 2
A book club is reading books in multiples of 68 pages. During the first week, they read the first multiple of 68 pages, the second week the second multiple, and the third week the third multiple. How many pages are read by the end of the third week?
408 pages
Explanation
To find the number of pages read, identify the first three multiples of 68. They are:
68 × 1 = 68
68 × 2 = 136
68 × 3 = 204
Therefore, the total number of pages read by the end of the third week is:
68 + 136 + 204 = 408.
Problem 3
In a chess tournament, there are 68 players in each group. If there are 6 groups, how many players are participating in total?
408 players
Explanation
To find the total number of players, multiply the number of players in each group by the number of groups.
Number of players in each group = 68
Number of groups = 6
68 × 6 = 408
Therefore, there are 408 players in total participating in the tournament.
Problem 4
A factory produces toy cars, packaging them in boxes containing 68 cars each. If the factory produces 7 boxes in a day, how many toy cars are produced in that day?
476 toy cars
Explanation
To find the total number of toy cars produced, multiply the number of boxes by the number of cars in each box.
Number of boxes = 7
Number of cars per box = 68
68 × 7 = 476
Therefore, the factory produces 476 toy cars in a day.
Problem 5
A librarian is organizing books in multiples of 68 pages per section. The first section has books with 68 pages, the second section with books of 136 pages, and the third section with books of 204 pages. How many pages are there in total across all three sections?
408 pages
Explanation
The first section has books with 68 pages, the second section with 136 pages, and the third section with 204 pages. So, the total pages are:
68 + 136 + 204 = 408
Therefore, there are a total of 408 pages across all three sections.
FAQs on Multiples of 68
1.How do you find the multiples of 68?
2.What is the LCM of 7 and 68?
3.What are the real-life applications of Multiples of 68?
4.Are multiples of 68 finite or infinite?
5.Is there any odd multiple of 68?
6.How can poems help children in Saudi Arabia memorize the Multiplication Table and Multiples of 68?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 68 challenges for kids in Saudi Arabia?
8.How do language and cultural differences in Saudi Arabia affect the way children learn the Multiplication Table and Multiples of 68?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 68 among early learners in Saudi Arabia?
Important Glossaries for Multiples of 68
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 68 include 68, 136, 204, 272, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 68 are the numbers that consist of the number pattern of 68.
- 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 68 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 17, 34, and 68 are the divisors of 68.
- LCM (Least Common Multiple): The smallest number that is a multiple of two numbers. For instance, the LCM of 7 and 68 is 476.
Explore More multiplication-tables
Previous to Multiples of 68
About BrightChamps in Saudi Arabia
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
