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Last updated on March 28th, 2025

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Multiples of 68

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Foundation
Intermediate
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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.

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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.

Multiples of 68
 

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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

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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.

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Common Mistakes and How to Avoid Them in Multiples of 68

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Multiples of 68 Examples

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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FAQs on Multiples of 68

1.How do you find the multiples of 68?

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2.What is the LCM of 7 and 68?

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3.What are the real-life applications of Multiples of 68?

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4.Are multiples of 68 finite or infinite?

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5.Is there any odd multiple of 68?

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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.
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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.

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: She has songs for each table which helps her to remember the tables

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