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Last updated on February 3rd, 2025

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Multiples of 83

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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 83.

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What are the Multiples of 83?

Now, let us learn more about multiples of 83. Multiples of 83 are the numbers you get when you multiply 83 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 83 can be denoted as 83 × 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 83 × 1 will give us 83 as the product. Multiples of 83 will be larger or equal to 83.

multiples of 83

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List of First 20 Multiples of 83

Multiples of 83 include the products of 83 and an integer. Multiples of 83 are divisible by 83 evenly. The first few multiples of 83 are given below:

 

TABLE OF 83 (1-10)

83 x 1 = 83

83 x 6 = 498

83 x 2 = 166

83 x 7 = 581

83 x 3 = 249

83 x 8 = 664

83 x 4 = 332

83 x 9 = 747

83 x 5 = 415

83 x 10 = 830

 

 

TABLE OF 83 (11-20)

83 x 11 = 913

83 x 16 = 1328

83 x 12 = 996

83 x 17 = 1411

83 x 13 = 1079

83 x 18 = 1494

83 x 14 = 1162

83 x 19 = 1577

83 x 15 = 1245

83 x 20 = 1660

 

Now, we know the first few multiples of 83. They are 0, 83, 166, 249, 332, 415, 498, 581, 664, 747, 830,...
 

 

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Operations with Multiples of 83

Understanding the multiples of 83 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 83, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 83

 

83, 166, 249, 332, and 415 are the first five multiples of 83. When multiplying 83 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:  


83 + 166 + 249 + 332 + 415 = 1245  


When we add the first 5 multiples of 83, the answer will be 1245.

 

Subtraction of First 5 Multiples of 83

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 83, 166, 249, 332, and 415 are the first five multiples of 83. So, let us calculate it as given below:  


83 - 166 = -83  
-83 - 249 = -332  
-332 - 332 = -664  
-664 - 415 = -1079  


Hence, the result of subtracting the first 5 multiples of 83 is -1079.

 

Average of First 5 Multiples of 83

 

To calculate the average, we need to identify the sum of the first 5 multiples of 83, 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 83 is 1245.  


83 + 166 + 249 + 332 + 415 = 1245  


Next, divide the sum by 5:  


1245 ÷ 5 = 249  


249 is the average of the first 5 multiples of 83.

 

Product of First 5 Multiples of 83

 

The product of the given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 83 include: 83, 166, 249, 332, and 415. Now, the product of these numbers is:  


83 × 166 × 249 × 332 × 415 = 1,191,157,860  


The product of the first 5 multiples of 83 is 1,191,157,860.

 

Division of First 5 Multiples of 83

 

While we perform division, we get to know how many times 83 can fit into each of the given multiples. 83, 166, 249, 332, and 415 are the first 5 multiples of 83.  


83 ÷ 83 = 1  
166 ÷ 83 = 2  
249 ÷ 83 = 3  
332 ÷ 83 = 4  
415 ÷ 83 = 5  


The results of dividing the first 5 multiples of 83 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 83

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Multiples of 83 Examples

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Problem 1

A farmer is planting rows of corn in his field. Each row consists of 83 corn plants. If he plants 83 rows of corn over the course of a season, how many corn plants will he have in total?

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Explanation

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Problem 2

A librarian is organizing books in a library. She places books in stacks where each stack contains a multiple of 83 books. If she organizes three stacks using the first three multiples of 83, how many books are there in total?

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Explanation

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Problem 3

In a factory, there are 83 conveyor belts. Each conveyor belt carries 83 products every hour. How many products are carried by all the conveyor belts in one hour?

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Explanation

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Problem 4

A tailor is sewing buttons on shirts. Each shirt requires 83 buttons, and he has 5 shirts to sew. How many buttons does he need in total?

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Explanation

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Problem 5

Emma is arranging photo albums on her shelf. The first shelf holds 83 photos, the second holds 166 photos, and the third holds 249 photos. How many photos are on all three shelves?

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Explanation

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FAQs on Multiples of 83

1.How do you find the multiples of 83?

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2.What is the LCM of 7 and 83?

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3.What are the real-life applications of Multiples of 83?

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4.Are multiples of 83 finite or infinite?

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5.Is there any odd multiple of 83?

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Important Glossaries for Multiples of 83

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 83 include 83, 166, 249, 332, etc.

 

  • Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 83 are the numbers that consist of the number pattern of 83.

 

  • Odd Number: An odd number refers to any number that cannot be divisible by 2 without leaving any remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 83 are odd numbers.

 

  • Prime Number: A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. 83 is a prime number.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 83 are the divisors of 83.
     
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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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