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Last updated on March 29th, 2025

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Multiples of 71

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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 71.

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What are the Multiples of 71?

Now, let us learn more about multiples of 71. Multiples of 71 are the numbers you get when you multiply 71 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 71 can be denoted as 71 × 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 71 × 1 will give us 71 as the product. Multiples of 71 will be larger or equal to 71.

Multiples of 71
 

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List of First 20 Multiples of 71

Multiples of 71 include the products of 71 and an integer. Multiples of 71 are divisible by 71 evenly. The first few multiples of 71 are given below:

 

TABLE OF 71 (1-10)

71 x 1 = 71

71 x 6 = 426

71 x 2 = 142

71 x 7 = 497

71 x 3 = 213

71 x 8 = 568

71 x 4 = 284

71 x 9 = 639

71 x 5 = 355

71 x 10 = 710

 

TABLE OF 71 (11-20)

71 x 11 = 781

71 x 16 = 1136

71 x 12 = 852

71 x 17 = 1207

71 x 13 = 923

71 x 18 = 1278

71 x 14 = 994

71 x 19 = 1349

71 x 15 = 1065

71 x 20 = 1420

 

Now, we know the first few multiples of 71. They are 0, 71, 142, 213, 284, 355, 426, 497, 568, 639, 710,...

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Operations with Multiples of 71

Understanding the multiples of 71 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 71, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 71:  


71, 142, 213, 284, and 355 are the first five multiples of 71. When multiplying 71 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:
71 + 142 + 213 + 284 + 355 = 1065  
When we add the first 5 multiples of 71, the answer will be 1065.

 

Subtraction of first 5 Multiples of 71:  


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 71, 142, 213, 284, and 355 are the first five multiples of 71. So, let us calculate it as given below:
71 - 142 = -71  
-71 - 213 = -284  
-284 - 284 = -568  
-568 - 355 = -923  
Hence, the result of subtracting the first 5 multiples of 71 is -923.

 

Average of first 5 Multiples of 71:  


To calculate the average, we need to identify the sum of the first 5 multiples of 71, 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 71 is 1065.
71 + 142 + 213 + 284 + 355 = 1065  
Next, divide the sum by 5:  
1065 ÷ 5 = 213  
213 is the average of the first 5 multiples of 71.

 

Product of First 5 Multiples of 71:  


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 71 include: 71, 142, 213, 284, and 355. Now, the product of these numbers is:
71 × 142 × 213 × 284 × 355 = 1,615,690,940  
The product of the first 5 multiples of 71 is 1,615,690,940.

 

Division of First 5 Multiples of 71:  


While we perform division, we get to know how many times 71 can fit into each of the given multiples. 71, 142, 213, 284, and 355 are the first 5 multiples of 71.
71 ÷ 71 = 1  
142 ÷ 71 = 2  
213 ÷ 71 = 3  
284 ÷ 71 = 4  
355 ÷ 71 = 5  
The results of dividing the first 5 multiples of 71 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 71

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Multiples of 71 Examples

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Problem 1

In a library, new shipments of books arrive in boxes containing 71 books each. If the library receives shipments once a month for 6 months, how many books will the library have received in total?

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Explanation

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Problem 2

A factory produces widgets in batches of 71. During a particular quarter, the factory produces widgets in the order of the first three multiples of 71. How many widgets are produced in total?

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Explanation

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Problem 3

At a conference, there are 71 tables, and each table seats 71 attendees. How many attendees can the conference accommodate in total?

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Explanation

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Problem 4

In a painting competition, each artist is given a canvas containing 71 blocks for painting. If there are 9 artists participating, how many blocks will be painted in total?

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Explanation

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Problem 5

A filmmaker is organizing a festival and plans to screen 71 films in the first venue, 142 films in the second, and 213 films in the third venue. How many films will be screened in total across all venues?

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Explanation

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FAQs on Multiples of 71

1.How do you find the multiples of 71?  

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2.What is the LCM of 7 and 71?  

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3.What are the real-life applications of Multiples of 71?

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4.Are multiples of 71 finite or infinite?

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5.Is there any odd multiples of 71?

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Important Glossaries for Multiples of 71

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 71 include 71, 142, 213, 284, etc.  

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 71 are the numbers that consist of the number pattern of 71.  

 

  • Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9.  

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 71 are the divisors of 71.  

 

  • Infinite: Refers to a quantity that is limitless or endless. Multiples of any number, including 71, are infinite.
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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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