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Last updated on March 30th, 2025

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Multiples of 338

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Foundation
Intermediate
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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 338.

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What are the Multiples of 338?

Now, let us learn more about multiples of 338. Multiples of 338 are the numbers you get when you multiply 338 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 338 can be denoted as 338 × 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 338 × 1 will give us 338 as the product. Multiples of 338 will be larger or equal to 338.multiples of 338

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List of First 20 Multiples of 338

Multiples of 338 include the products of 338 and an integer. Multiples of 338 are divisible by 338 evenly. The first few multiples of 338 are given below:

 

TABLE OF 338 (1-10)

338 x 1 = 338

338 x 6 = 2028

338 x 2 = 676

338 x 7 = 2366

338 x 3 = 1014

338 x 8 = 2704

338 x 4 = 1352

338 x 9 = 3042

338 x 5 = 1690

338 x 10 = 3380

 

TABLE OF 338 (11-20)

338 x 11 = 3718

338 x 16 = 5408

338 x 12 = 4056

338 x 17 = 5746

338 x 13 = 4394

338 x 18 = 6084

338 x 14 = 4732

338 x 19 = 6422

338 x 15 = 5070

338 x 20 = 6760

  

Now, we know the first few multiples of 338. They are 0, 338, 676, 1014, 1352, 1690, 2028, 2366, 2704, 3042, 3380,...

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Operations with Multiples of 338

Understanding the multiples of 338 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 338, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 338

 

338, 676, 1014, 1352, and 1690 are the first five multiples of 338. When multiplying 338 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:

 

338 + 676 + 1014 + 1352 + 1690 = 5070

 

When we add the first 5 multiples of 338, the answer will be 5070.

 

Subtraction of First 5 Multiples of 338

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 338, 676, 1014, 1352, and 1690 are the first five multiples of 338. So, let us calculate it as given below:

 

338 - 676 = -338  
-338 - 1014 = -1352  
-1352 - 1352 = -2704  
-2704 - 1690 = -4394  

 

Hence, the result of subtracting the first 5 multiples of 338 is -4394.

 

Average of First 5 Multiples of 338

 

To calculate the average, we need to identify the sum of the first 5 multiples of 338, 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 338 is 5070.

 

338 + 676 + 1014 + 1352 + 1690 = 5070

 

Next, divide the sum by 5:

 

5070 ÷ 5 = 1014

 

1014 is the average of the first 5 multiples of 338.

 

Product of First 5 Multiples of 338

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 338 include: 338, 676, 1014, 1352, and 1690. Now, the product of these numbers is:

 

338 × 676 × 1014 × 1352 × 1690 = 1,000,580,993,600

 

The product of the first 5 multiples of 338 is 1,000,580,993,600.

 

Division of First 5 Multiples of 338

 

While we perform division, we get to know how many times 338 can fit into each of the given multiples. 338, 676, 1014, 1352, and 1690 are the first 5 multiples of 338.

 

338 ÷ 338 = 1  
676 ÷ 338 = 2  
1014 ÷ 338 = 3  
1352 ÷ 338 = 4  
1690 ÷ 338 = 5

 

The results of dividing the first 5 multiples of 338 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 338

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Multiples of 338 Examples

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Problem 1

A local art gallery hosts exhibitions every month. Each exhibition displays 338 pieces of artwork. Over the course of 6 months, how many artworks will be displayed in total?

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Explanation

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Problem 2

In a cycling race, participants are grouped into teams of 338 cyclists each. If there are 3 teams competing, how many cyclists are there in total?

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Explanation

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Problem 3

A large conference center has 338 chairs in each conference room. If there are 7 conference rooms, how many chairs are there in total?

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Explanation

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Problem 4

A factory produces 338 gadgets every day. How many gadgets does the factory produce in a week (7 days)?

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Explanation

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Problem 5

During a fundraising event, 338 raffle tickets are sold each day. If the event lasts for 5 days, how many tickets are sold in total?

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Explanation

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FAQs on Multiples of 338

1.How do you find the multiples of 338?

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2.What is the LCM of 7 and 338?

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3.What are the real-life applications of Multiples of 338?

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4.Are multiples of 338 finite or infinite?

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5.Is there any odd multiples of 338?

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Important Glossaries for Multiples of 338

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 338 include 338, 676, 1014, 1352, etc.
     
  • Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 338 are the numbers that consist of the number pattern of 338.
     
  • 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 338 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 13, 26, 169, and 338 are the divisors of 338.
     
  • LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each one of the numbers. For example, the LCM of 7 and 338 is 2366.
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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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