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Last updated on February 3rd, 2025

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Multiples of 84

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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 84.

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What are the Multiples of 84?

Now, let us learn more about multiples of 84. Multiples of 84 are the numbers you get when you multiply 84 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 84 can be denoted as 84 × 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 84 × 1 will give us 84 as the product. Multiples of 84 will be larger or equal to 84.
multiples of 84

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List of First 20 Multiples of 84

Multiples of 84 include the products of 84 and an integer. Multiples of 84 are divisible by 84 evenly. The first few multiples of 84 are given below:

 

TABLE OF 84 (1-10)

84 x 1 = 84

84 x 6 = 504

84 x 2 = 168

84 x 7 = 588

84 x 3 = 252

84 x 8 = 672

84 x 4 = 336

84 x 9 = 756

84 x 5 = 420

84 x 10 = 840

 

 

TABLE OF 84 (11-20)

84 x 11 = 924

84 x 16 = 1344

84 x 12 = 1008

84 x 17 = 1428

84 x 13 = 1092

84 x 18 = 1512

84 x 14 = 1176

84 x 19 = 1596

84 x 15 = 1260

84 x 20 = 1680

 

Now, we know the first few multiples of 84. They are 0, 84, 168, 252, 336, 420, 504, 588, 672, 756, 840,.

 

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Operations with Multiples of 84

Understanding the multiples of 84 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 84, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 84:

 

84, 168, 252, 336, and 420 are the first five multiples of 84. When multiplying 84 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:  


84 + 168 + 252 + 336 + 420 = 1260  


When we add the first 5 multiples of 84, the answer will be 1260.

 

Subtraction of First 5 Multiples of 84:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 84, 168, 252, 336, and 420 are the first five multiples of 84. So, let us calculate it as given below:  


84 - 168 = -84  
-84 - 252 = -336  
-336 - 336 = -672  
-672 - 420 = -1092  


Hence, the result of subtracting the first 5 multiples of 84 is -1092.

 

Average of First 5 Multiples of 84:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 84 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 84 is 1260.  


84 + 168 + 252 + 336 + 420 = 1260  


Next, divide the sum by 5:  


1260 ÷ 5 = 252  


252 is the average of the first 5 multiples of 84.

 

Product of First 5 Multiples of 84:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 84 include: 84, 168, 252, 336, and 420. Now, the product of these numbers is:  


84 × 168 × 252 × 336 × 420 = 1,590,797,568,000  


The product of the first 5 multiples of 84 is 1,590,797,568,000.

 

Division of First 5 Multiples of 84:

 

While we perform division, we get to know how many times 84 can fit into each of the given multiples. 84, 168, 252, 336, and 420 are the first 5 multiples of 84.  


84 ÷ 84 = 1  
168 ÷ 84 = 2  
252 ÷ 84 = 3  
336 ÷ 84 = 4  
420 ÷ 84 = 5  


The results of dividing the first 5 multiples of 84 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 84

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Multiples of 84 Examples

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Problem 1

In a community garden, there are 84 tomato plants in each section. The garden expands, adding 3 more sections each year, each with 84 tomato plants. How many tomato plants will there be in total at the end of 3 years?

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Explanation

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Problem 2

A concert hall has seating arranged in rows, with each row having 84 seats. If the first three rows are filled to capacity, how many people are seated in these rows?

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Explanation

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Problem 3

A factory produces 84 widgets every hour. If the factory operates for 12 hours a day, how many widgets does it produce in a day?

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Explanation

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Problem 4

A library has 84 reference books on each shelf. If there are 5 shelves dedicated to reference books, how many reference books are there in total?

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Explanation

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Problem 5

During a charity event, every volunteer packs 84 food parcels. If there are 7 volunteers, how many food parcels are packed in total?

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Explanation

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FAQs on Multiples of 84

1.How do you find the multiples of 84?

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2.What is the LCM of 7 and 84?

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3.What are the real-life applications of multiples of 84?

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4.Are multiples of 84 finite or infinite?

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5.Is there any odd multiple of 84?

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Important Glossaries for Multiples of 84

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 84 include 84, 168, 252, 336, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 84 are the numbers that consist of the number pattern of 84.

 

  • 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 84 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84 are the divisors of 84.

 

  • LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 7 and 84 is 84.
     
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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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