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Last updated on March 28th, 2025

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Multiples of 506

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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 506.

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What are the Multiples of 506?

Now, let us learn more about multiples of 506. Multiples of 506 are the numbers you get when you multiply 506 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 506 can be denoted as 506 × 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 506 × 1 will give us 506 as the product. Multiples of 506 will be larger or equal to 506.

multiples of 506

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List of First 20 Multiples of 506

Multiples of 506 include the products of 506 and an integer. Multiples of 506 are divisible by 506 evenly. The first few multiples of 506 are given below: 

 

TABLE OF 506 (1-10)

506 x 1 = 506

506 x 6 = 3036

506 x 2 = 1012

506 x 7 = 3542

506 x 3 = 1518

506 x 8 = 4048

506 x 4 = 2024

506 x 9 = 4554

506 x 5 = 2530

506 x 10 = 5060

 

 

TABLE OF 506 (11-20)

506 x 11 = 5566

506 x 16 = 8096

506 x 12 = 6072

506 x 17 = 8602

506 x 13 = 6578

506 x 18 = 9108

506 x 14 = 7084

506 x 19 = 9614

506 x 15 = 7590

506 x 20 = 10120

 

Now, we know the first few multiples of 506. They are: 0, 506, 1012, 1518, 2024, 2530, 3036, 3542, 4048, 4554, 5060, …
 

 

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Operations with Multiples of 506

Understanding the multiples of 506 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 506, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 506:

 

506, 1012, 1518, 2024, and 2530 are the first five multiples of 506. When multiplying 506 from 1 to 5 we get these numbers as the products. So, the sum of these multiples is:  


506 + 1012 + 1518 + 2024 + 2530 = 7590  


When we add the first 5 multiples of 506, the answer will be 7590.

 

Subtraction of First 5 Multiples of 506:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 506, 1012, 1518, 2024, and 2530 are the first five multiples of 506. So, let us calculate it as given below:  


506 - 1012 = -506  
-506 - 1518 = -2024  
-2024 - 2024 = -4048  
-4048 - 2530 = -6578  


Hence, the result of subtracting the first 5 multiples of 506 is -6578.

 

Average of First 5 Multiples of 506:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 506, 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 506 is 7590.  


506 + 1012 + 1518 + 2024 + 2530 = 7590  


Next, divide the sum by 5:  


7590 ÷ 5 = 1518  


1518 is the average of the first 5 multiples of 506.

 

Product of First 5 Multiples of 506:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 506 include: 506, 1012, 1518, 2024, and 2530. Now, the product of these numbers is:  


506 × 1012 × 1518 × 2024 × 2530 = 7,851,148,221,760  


The product of the first 5 multiples of 506 is 7,851,148,221,760.

 

Division of First 5 Multiples of 506:

 

While we perform division, we get to know how many times 506 can fit into each of the given multiples. 506, 1012, 1518, 2024, and 2530 are the first 5 multiples of 506.  


506 ÷ 506 = 1  
1012 ÷ 506 = 2  
1518 ÷ 506 = 3  
2024 ÷ 506 = 4  
2530 ÷ 506 = 5  


The results of dividing the first 5 multiples of 506 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 506

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Multiples of 506 Examples

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Problem 1

Ravi is arranging chairs for a conference. He arranges chairs in rows, with each row consisting of 506 chairs. If he arranges 5 rows in total, how many chairs will there be?

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Explanation

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Problem 2

A factory produces boxes in batches. Each batch contains 506 boxes. How many boxes will the factory produce after completing 7 batches?

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Explanation

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Problem 3

Sarah is organizing a charity run. She plans to give each participant 506 meters of ribbon as a souvenir. If there are 3 groups of participants, and each group has 506 participants, how much ribbon will she need in total?

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Explanation

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Problem 4

In a library, there are sections with 506 books each. If there are 4 sections in total, how many books are there in the library?

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Explanation

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Problem 5

A shipping company loads containers onto trucks. Each truck can carry 506 containers. If the company uses 6 trucks, how many containers are transported in total?

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Explanation

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FAQs on Multiples of 506

1.How do you find the multiples of 506?

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2.What is the LCM of 7 and 506?

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3.What are the real-life applications of Multiples of 506?

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4.Are multiples of 506 finite or infinite?

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5.Is there any odd multiple of 506?

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Important Glossaries for Multiples of 506

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 506 include 506, 1012, 1518, 2024, etc.

 

  • Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 506 are the numbers that consist of the number pattern of 506.

 

  • 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 506 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 253, and 506 are the divisors of 506.

 

  • LCM (Least Common Multiple): The smallest common multiple of two or more numbers. For example, the LCM of 7 and 506 is 3542.
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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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