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Last updated on February 11th, 2025

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Multiples of 213

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Foundation
Intermediate
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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 213.

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What are the Multiples of 213?

Now, let us learn more about multiples of 213. Multiples of 213 are the numbers you get when you multiply 213 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 213 can be denoted as 213 × 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 213 × 1 will give us 213 as the product. Multiples of 213 will be larger or equal to 213. multiples of 213
 

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List of First 20 Multiples of 213

Multiples of 213 include the products of 213 and an integer. Multiples of 213 are divisible by 213 evenly. The first few multiples of 213 are given below:

 

TABLE OF 213 (1-10)

213 x 1 = 213

213 x 6 = 1278

213 x 2 = 426

213 x 7 = 1491

213 x 3 = 639

213 x 8 = 1704

213 x 4 = 852

213 x 9 = 1917

213 x 5 = 1065

213 x 10 = 2130

 

TABLE OF 213 (11-20)

213 x 11 = 2343

213 x 16 = 3408

213 x 12 = 2556

213 x 17 = 3621

213 x 13 = 2769

213 x 18 = 3834

213 x 14 = 2982

213 x 19 = 4047

213 x 15 = 3195

213 x 20 = 4260

 

Now, we know the first few multiples of 213. They are 0, 213, 426, 639, 852, 1065, 1278, 1491, 1704, 1917, 2130,...
 

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Operations with Multiples of 213

Understanding the multiples of 213 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 213, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division. 

 

Sum of first 5 Multiples of 213:

 

213, 426, 639, 852, and 1065 are the first five multiples of 213. When multiplying 213 from 1 to 5, we get these numbers as the products.  

 

So, the sum of these multiples is:


213 + 426 + 639 + 852 + 1065 = 3195

 

When we add the first 5 multiples of 213, the answer will be 3195.  

 

Subtraction of first 5 Multiples of 213:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 213, 426, 639, 852, and 1065 are the first five multiples of 213. So, let us calculate it as given below:

 

213 - 426 = -213  
-213 - 639 = -852  
-852 - 852 = -1704  
-1704 - 1065 = -2769  

 

Hence, the result of subtracting the first 5 multiples of 213 is -2769.

 

Average of first 5 Multiples of 213:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 213, 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 213 is 3195.

 

213 + 426 + 639 + 852 + 1065 = 3195

 

Next, divide the sum by 5:


3195 ÷ 5 = 639

 

639 is the average of the first 5 multiples of 213.

 

Product of First 5 Multiples of 213:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 213 include: 213, 426, 639, 852, and 1065. Now, the product of these numbers is:


213 × 426 × 639 × 852 × 1065 = 62,607,519,390

 

The product of the first 5 multiples of 213 is 62,607,519,390.

 

Division of First 5 Multiples of 213:

 

While we perform division, we get to know how many times 213 can fit into each of the given multiples. 213, 426, 639, 852, and 1065 are the first 5 multiples of 213.

 

213 ÷ 213 = 1  
426 ÷ 213 = 2  
639 ÷ 213 = 3  
852 ÷ 213 = 4  
1065 ÷ 213 = 5    

 

The results of dividing the first 5 multiples of 213 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 213

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Multiples of 213 Examples

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Problem 1

A music band is planning to produce CDs for their new album. Each batch consists of 213 CDs. If they produce 213 CDs each month, how many CDs will they have after 6 months?

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Explanation

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Problem 2

A charity organization is distributing care packages. The first three events distribute packages in the order of the first three multiples of 213. How many packages were distributed at each event based on this series?

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Explanation

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Problem 3

In a large office building, there are 213 desks. Each floor of the building has 213 desks. How many desks are there in total if the building has 5 floors?

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Explanation

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Problem 4

A library is organizing its books into sections. Each section contains 213 books. If there are 4 sections, how many books does the library have in total?

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Explanation

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Problem 5

A baker is preparing batches of cookies. The first batch contains 213 cookies, the second batch has 426 cookies, and the third batch has 639 cookies. How many cookies are there in all three batches?

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Explanation

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FAQs on Multiples of 213

1.How do you find the multiples of 213?

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2.What is the LCM of 7 and 213?

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3.What are the real-life applications of Multiples of 213?

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4.Are multiples of 213 finite or infinite?

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5.Is there any odd multiples of 213?

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Important Glossaries for Multiples of 213

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 213 include 213, 426, 639, 852, etc. 
     
  • Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 213 follow the number pattern of 213.
     
  • Odd Number: An odd number cannot be evenly divided by 2. Multiples of 213 can include both odd and even numbers, depending on the multiplier.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 71, and 213 are the divisors of 213.
     
  • Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each of a set of numbers. For example, the LCM of 7 and 213 is 1491.
     
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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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