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Last updated on May 26th, 2025

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Multiples of 210

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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 210.

Multiples of 210 for Vietnamese Students
Professor Greenline from BrightChamps

What are the Multiples of 210?

Now, let us learn more about multiples of 210. Multiples of 210 are the numbers you get when you multiply 210 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 210 can be denoted as 210 × 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 210 × 1 will give us 210 as the product. Multiples of 210 will be larger or equal to 210.multiples of 210
 

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List of First 20 Multiples of 210

Multiples of 210 include the products of 210 and an integer. Multiples of 210 are divisible by 210 evenly. The first few multiples of 210 are given below:

 

TABLE OF 210 (1-10)

210 x 1 = 210

210 x 6 = 1260

210 x 2 = 420

210 x 7 = 1470

210 x 3 = 630

210 x 8 = 1680

210 x 4 = 840

210 x 9 = 1890

210 x 5 = 1050

210 x 10 = 2100

 

TABLE OF 210 (11-20)

210 x 11 = 2310

210 x 16 = 3360

210 x 12 = 2520

210 x 17 = 3570

210 x 13 = 2730

210 x 18 = 3780

210 x 14 = 2940

210 x 19 = 3990

210 x 15 = 3150

210 x 20 = 4200

 

Now, we know the first few multiples of 210. They are 0, 210, 420, 630, 840, 1050, 1260, 1470, 1680, 1890, 2100,...
 

Professor Greenline from BrightChamps

Operations with Multiples of 210

Understanding the multiples of 210 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 210, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 210:

 

210, 420, 630, 840, and 1050 are the first five multiples of 210. When multiplying 210 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:  


210 + 420 + 630 + 840 + 1050 = 3150  


When we add the first 5 multiples of 210, the answer will be 3150.

 

Subtraction of first 5 Multiples of 210:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 210, 420, 630, 840, and 1050 are the first five multiples of 210. So, let us calculate it as given below:  


210 - 420 = -210  
-210 - 630 = -840  
-840 - 840 = -1680  
-1680 - 1050 = -2730  


Hence, the result of subtracting the first 5 multiples of 210 is -2730.

 

Average of first 5 Multiples of 210:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 210, and then divide it by the count, i.e., 5. Because there are 5 multiples are 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 210 is 3150. 


210 + 420 + 630 + 840 + 1050 = 3150

 
Next, divide the sum by 5:  


3150 ÷ 5 = 630  


630 is the average of the first 5 multiples of 210.

 

Product of First 5 Multiples of 210:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 210 include: 210, 420, 630, 840, and 1050. Now, the product of these numbers is:  


210 × 420 × 630 × 840 × 1050 = 46,378,560,000,000  


The product of the first 5 multiples of 210 is.

 

Division of First 5 Multiples of 210:

 

While we perform division, we get to know how many times 210 can fit into each of the given multiples. 210, 420, 630, 840, and 1050 are the first 5 multiples of 210.  


210 ÷ 210 = 1  
420 ÷ 210 = 2  
630 ÷ 210 = 3  
840 ÷ 210 = 4  
1050 ÷ 210 = 5  


The results of dividing the first 5 multiples of 210 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 210

While working with Multiples of 210, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:

Mistake 1

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Confusing Multiples with Factors

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Sometimes, students get confused between the multiples and factors of 210. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number.

 

Multiples of 210 refer to the products we get while multiplying 210 with other numbers. For example, multiples of 210 include 0, 210, 420, 630, 840, 1050, …

 
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210. When 210 is divided by these numbers, the remainder will be zero. These are the factors of 210 meaning that these numbers can divide 210 without any remainder.

 

Factors of 210:  


210 ÷ 1 = 210  
210 ÷ 2 = 105  
210 ÷ 3 = 70  
210 ÷ 5 = 42 
 

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Multiples of 210 Examples

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Max, the Girl Character from BrightChamps

Problem 1

An art gallery is organizing exhibitions where each exhibition hall can display exactly 210 pieces of artwork. If the gallery plans to hold 5 exhibitions this year, how many pieces of artwork will be displayed in total?

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1,050 pieces 

Explanation

Each exhibition displays 210 pieces. To find the total number of pieces displayed in 5 exhibitions, multiply 210 by 5.

 
   
Pieces per exhibition = 210  


Number of exhibitions = 5  


   
210 × 5 = 1,050  


   
Therefore, 1,050 pieces of artwork will be displayed in total.
 

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Max, the Girl Character from BrightChamps

Problem 2

A factory produces batches of widgets that contain 210 widgets each. If three different production lines are operating and each one completes 210 widgets, how many widgets are produced in total?

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630 widgets

Explanation

Each production line completes a batch of 210 widgets. To find the total number of widgets produced across all lines, add up the results for each line.  
   
Widgets per line = 210

 
Number of lines = 3  


   
210 × 3 = 630  


   
Thus, a total of 630 widgets are produced.
 

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Max, the Girl Character from BrightChamps

Problem 3

In a large auditorium, there are 210 seats in each section. If there are a total of 7 sections, how many seats are there in the auditorium?

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1,470 seats

Explanation

To find the total number of seats, multiply the number of seats per section by the number of sections.  
   
Seats per section = 210  

 

Number of sections = 7  


   
210 × 7 = 1,470  


   
Therefore, there are 1,470 seats in the auditorium.
 

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Max, the Girl Character from BrightChamps

Problem 4

A football tournament is arranged with 210 players participating, divided equally into 10 teams. How many players are there in each team?

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21 players

Explanation

To find the number of players per team, divide the total number of players by the number of teams.  


   
Total players = 210

 
Number of teams = 10  


   
210 ÷ 10 = 21  


   
Hence, each team consists of 21 players.
 

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Max, the Girl Character from BrightChamps

Problem 5

A book publisher prints books in batches of 210. If a bookstore orders 6 such batches, how many books will be delivered to the bookstore?

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1,260 books

Explanation

Multiply the number of books per batch by the number of batches ordered to find the total number of books delivered.  


   
Books per batch = 210  


Number of batches = 6  


   
210 × 6 = 1,260  


   
Therefore, the bookstore will receive 1,260 books.
 

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FAQs on Multiples of 210

1.How do you find the multiples of 210?

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2.What is the LCM of 7 and 210?

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3.What are the real-life applications of Multiples of 210?

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4.Are multiples of 210 finite or infinite?

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5.Is there any odd multiples of 210?

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Professor Greenline from BrightChamps

Important Glossaries for Multiples of 210

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 210 include 210, 420, 630, 840, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 210 are the numbers that consist of the number pattern of 210.
     
  • 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 210 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210 are the divisors of 210.
     
  • LCM (Least Common Multiple): The smallest positive integer that is divisible by each of a given set of numbers. For example, the LCM of 7 and 210 is 210.
     
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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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Max, the Girl Character from BrightChamps

Fun Fact

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

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