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Last updated on March 29th, 2025

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Multiples of 343

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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 343.

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What are the Multiples of 343?

Now, let us learn more about multiples of 343. Multiples of 343 are the numbers you get when you multiply 343 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 343 can be denoted as 343 × 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 343 × 1 will give us 343 as the product. Multiples of 343 will be larger or equal to 343.multiples of 343

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List of First 20 Multiples of 343

Multiples of 343 include the products of 343 and an integer. Multiples of 343 are divisible by 343 evenly. The first few multiples of 343 are given below:

 

TABLE OF 343 (1-10)

343 x 1 = 343

343 x 6 = 2058

343 x 2 = 686

343 x 7 = 2401

343 x 3 = 1029

343 x 8 = 2744

343 x 4 = 1372

343 x 9 = 3087

343 x 5 = 1715

343 x 10 = 3430

 

TABLE OF 343 (11-20)

343 x 11 = 3773

343 x 16 = 5488

343 x 12 = 4116

343 x 17 = 5831

343 x 13 = 4459

343 x 18 = 6174

343 x 14 = 4802

343 x 19 = 6517

343 x 15 = 5145

343 x 20 = 6860

  

Now, we know the first few multiples of 343. They are 0, 343, 686, 1029, 1372, 1715, 2058, 2401, 2744, 3087, 3430,...

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Operations with Multiples of 343

Understanding the multiples of 343 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 343, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 343:

 

343, 686, 1029, 1372, and 1715 are the first five multiples of 343. When multiplying 343 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:

 

343 + 686 + 1029 + 1372 + 1715 = 5145

 

When we add the first 5 multiples of 343, the answer will be 5145.

 

Subtraction of First 5 Multiples of 343:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 343, 686, 1029, 1372, and 1715 are the first five multiples of 343. So, let us calculate it as given below:

 

343 - 686 = -343  
-343 - 1029 = -1372  
-1372 - 1372 = -2744  
-2744 - 1715 = -4459  

 

Hence, the result of subtracting the first 5 multiples of 343 is -4459.

 

Average of First 5 Multiples of 343:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 343, 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 343 is 5145.

 

343 + 686 + 1029 + 1372 + 1715 = 5145

 

Next, divide the sum by 5:

 

5145 ÷ 5 = 1029

 

1029 is the average of the first 5 multiples of 343.

 

Product of First 5 Multiples of 343:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 343 include: 343, 686, 1029, 1372, and 1715. Now, the product of these numbers is:

 

343 × 686 × 1029 × 1372 × 1715 = 1,376,943,751,304,000

 

The product of the first 5 multiples of 343 is

1,376,943,751,304,000.

 

Division of First 5 Multiples of 343:

 

While we perform division, we get to know how many times 343 can fit into each of the given multiples. 343, 686, 1029, 1372, and 1715 are the first 5 multiples of 343.

 

343 ÷ 343 = 1  
686 ÷ 343 = 2  
1029 ÷ 343 = 3  
1372 ÷ 343 = 4  
1715 ÷ 343 = 5  

 

The results of dividing the first 5 multiples of 343 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 343

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Multiples of 343 Examples

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Problem 1

In a unique art exhibition, each artist decides to display their paintings in multiples of 343. The exhibition runs for 3 months, and every month a new set of paintings amounting to the next multiple of 343 is added. How many paintings will the exhibition have after 3 months?

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Explanation

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Problem 2

Three friends, Alex, Jamie, and Casey, decide to donate books to their local library in the order of the first three multiples of 343. How many books did each of them donate based on this series of multiples of 343?

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Explanation

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Problem 3

In a large auditorium, there are 343 seats in each row. If the auditorium has 7 rows, how many seats are there in total?

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Explanation

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Problem 4

Emma is arranging her collection of marbles. She decides to place them in trays, each holding 343 marbles. If she has 5 trays, how many marbles are there in total?

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Explanation

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Problem 5

A new library has shelves where the number of books follows the first three multiples of 343. The first shelf has 343 books, the second has 686 books, and the third has 1029 books. How many books are there on all three shelves?

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Explanation

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FAQs on Multiples of 343

1.How do you find the multiples of 343?

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2.What is the LCM of 7 and 343?

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3.What are the real-life applications of Multiples of 343?

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4.Are multiples of 343 finite or infinite?

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5.Is there any odd multiple of 343?

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Important Glossaries for Multiples of 343

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 343 include 343, 686, 1029, 1372, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 343 are the numbers that consist of the number pattern of 343.
     
  • Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Odd multiples of 343 are possible.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 7, 49, and 343 are the divisors of 343.
     
  • Infinite: Refers to the concept of something without any limit. Multiples of a number like 343 are infinite because they continue indefinitely.
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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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