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Last updated on March 28th, 2025

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Multiples of 168

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Foundation
Intermediate
Advance Topics

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 168.

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What are the Multiples of 168?

Now, let us learn more about multiples of 168. Multiples of 168 are the numbers you get when you multiply 168 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 168 can be denoted as 168 × 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 168 × 1 will give us 168 as the product. Multiples of 168 will be larger or equal to 168.

multiples of 168
 

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List of First 20 Multiples of 168

Multiples of 168 include the products of 168 and an integer. Multiples of 168 are divisible by 168 evenly. The first few multiples of 168 are given below:

 

TABLE OF 168 (1-10)

168 x 1 = 168

168 x 6 = 1008

168 x 2 = 336

168 x 7 = 1176

168 x 3 = 504

168 x 8 = 1344

168 x 4 = 672

168 x 9 = 1512

168 x 5 = 840

168 x 10 = 1680

 

TABLE OF 168 (11-20)

168 x 11 = 1848

168 x 16 = 2688

168 x 12 = 2016

168 x 17 = 2856

168 x 13 = 2184

168 x 18 = 3024

168 x 14 = 2352

168 x 19 = 3192

168 x 15 = 2520

168 x 20 = 3360

 

Now, we know the first few multiples of 168. They are 0, 168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680,...
 

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Operations with Multiples of 168

Understanding the multiples of 168 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 168, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 168

 

168, 336, 504, 672, and 840 are the first five multiples of 168. When multiplying 168 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:


168 + 336 + 504 + 672 + 840 = 2520  


When we add the first 5 multiples of 168, the answer will be 2520.

 

Subtraction of First 5 Multiples of 168

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 168, 336, 504, 672, and 840 are the first five multiples of 168. So, let us calculate it as given below:


168 - 336 = -168  
-168 - 504 = -672  
-672 - 672 = -1344  
-1344 - 840 = -2184  


Hence, the result of subtracting the first 5 multiples of 168 is -2184.

 

Average of First 5 Multiples of 168

 

To calculate the average, we need to identify the sum of the first 5 multiples of 168, 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 168 is 2520.


168 + 336 + 504 + 672 + 840 = 2520  


Next, divide the sum by 5:


2520 ÷ 5 = 504  


504 is the average of the first 5 multiples of 168.

 

Product of First 5 Multiples of 168

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 168 include: 168, 336, 504, 672, and 840. Now, the product of these numbers is:


168 × 336 × 504 × 672 × 840 = 32,895,883,776,000  


The product of the first 5 multiples of 168 is 32,895,883,776,000.

 

Division of First 5 Multiples of 168

 

While we perform division, we get to know how many times 168 can fit into each of the given multiples. 168, 336, 504, 672, and 840 are the first 5 multiples of 168.


168 ÷ 168 = 1  
336 ÷ 168 = 2  
504 ÷ 168 = 3  
672 ÷ 168 = 4  
840 ÷ 168 = 5    


The results of dividing the first 5 multiples of 168 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 168

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Multiples of 168 Examples

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Problem 1

A city bus company schedules its buses to depart every 168 minutes. If the first bus departs at 6:00 AM, what time will the bus departing after 4 intervals leave?

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Explanation

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Problem 2

In an art exhibition, paintings are displayed in a sequence based on multiples of 168. If the first gallery displays 168 paintings, how many paintings are displayed in the first three galleries combined?

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Explanation

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Problem 3

A factory produces batches of widgets every 168 minutes. If the factory operates continuously for 24 hours, how many batches of widgets will it produce in a day?

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Explanation

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Problem 4

A concert hall has a seating plan arranged in blocks of 168 seats. If during a special event, they fill 5 such blocks, how many seats are occupied in total?

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Explanation

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Problem 5

A marathon race has checkpoints placed every 168 meters along the course. If the total length of the marathon is 42,000 meters, how many checkpoints are there?

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Explanation

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FAQs on Multiples of 168

1.How do you find the multiples of 168?

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2.What is the LCM of 7 and 168?

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3.What are the real-life applications of Multiples of 168?

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4.Are multiples of 168 finite or infinite?

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5.Is there any odd multiple of 168?

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Important Glossaries for Multiples of 168

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 168 include 168, 336, 504, 672, etc.
     
  • Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 168 are the numbers that consist of the number pattern of 168.
     
  • 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 168 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168 are the divisors of 168.
     
  • Least Common Multiple (LCM): The smallest common multiple of two or more numbers. In this context, LCM can be used to find common multiples between 7 and 168, which is 168.
     
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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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Fun Fact

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

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