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Last updated on February 8th, 2025

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Multiples of 840

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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 840.

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What are the Multiples of 840?

Now, let us learn more about multiples of 840. Multiples of 840 are the numbers you get when you multiply 840 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 840 can be denoted as 840 × 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 840 × 1 will give us 840 as the product. Multiples of 840 will be larger or equal to 840.

multiples of 840
 

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List of First 20 Multiples of 840

Multiples of 840 include the products of 840 and an integer. Multiples of 840 are divisible by 840 evenly. The first few multiples of 840 are given below:

 

TABLE OF 840 (1-10)

840 x 1 = 840

840 x 6 = 5040

840 x 2 = 1680

840 x 7 = 5880

840 x 3 = 2520

840 x 8 = 6720

840 x 4 = 3360

840 x 9 = 7560

840 x 5 = 4200

840 x 10 = 8400

 

TABLE OF 840 (11-20)

840 x 11 = 9240

840 x 16 = 13440

840 x 12 = 10080

840 x 17 = 14280

840 x 13 = 10920

840 x 18 = 15120

840 x 14 = 11760

840 x 19 = 15960

840 x 15 = 12600

840 x 20 = 16800

 

Now, we know the first few multiples of 840. They are 0, 840, 1680, 2520, 3360, 4200, 5040, 5880, 6720, 7560, 8400,...

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Operations with Multiples of 840

Understanding the multiples of 840 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 840, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 840

840, 1680, 2520, 3360, and 4200 are the first five multiples of 840. When multiplying 840 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:  
840 + 1680 + 2520 + 3360 + 4200 = 12600  
When we add the first 5 multiples of 840, the answer will be 12600.

 

Subtraction of First 5 Multiples of 840

When we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 840, 1680, 2520, 3360, and 4200 are the first five multiples of 840. So, let us calculate it as given below:  
840 - 1680 = -840  
-840 - 2520 = -3360  
-3360 - 3360 = -6720  
-6720 - 4200 = -10920  
Hence, the result of subtracting the first 5 multiples of 840 is -10920.

 

Average of First 5 Multiples of 840

To calculate the average, we need to identify the sum of the first 5 multiples of 840, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 840 is 12600.  
840 + 1680 + 2520 + 3360 + 4200 = 12600  
Next, divide the sum by 5:  
12600 ÷ 5 = 2520  
2520 is the average of the first 5 multiples of 840.

 

Product of First 5 Multiples of 840

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 840 include: 840, 1680, 2520, 3360, and 4200. Now, the product of these numbers is:  
840 × 1680 × 2520 × 3360 × 4200 = 10,485,760,000,000,000  
The product of the first 5 multiples of 840 is 10,485,760,000,000,000.

 

Division of First 5 Multiples of 840

While we perform division, we get to know how many times 840 can fit into each of the given multiples. 840, 1680, 2520, 3360, and 4200 are the first 5 multiples of 840.  
840 ÷ 840 = 1  
1680 ÷ 840 = 2  
2520 ÷ 840 = 3  
3360 ÷ 840 = 4  
4200 ÷ 840 = 5  
The results of dividing the first 5 multiples of 840 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 840

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Multiples of 840 Examples

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Problem 1

At a community event, volunteers are preparing gift bags for attendees. Each volunteer can prepare 840 gift bags in a day. If there are 5 volunteers working each day, how many gift bags will be prepared in total after 3 days?

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Explanation

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Problem 2

A factory produces batches of 840 units of a product every hour. If they operate for 7 hours a day, how many units are produced in a week (assuming they work 5 days a week)?

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Explanation

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Problem 3

A gardener is planting trees along a long pathway. She plants a tree every 840 meters. If the pathway is 6 kilometers long, how many trees will she plant?

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Explanation

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Problem 4

A music festival distributes tickets in bulk orders of 840 tickets. If a sponsor orders 9 such bulk orders, how many tickets does the sponsor receive?

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Explanation

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Problem 5

In a warehouse, packages are stored in stacks of 840 each. If there are 14 stacks, how many packages are there in total?

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Explanation

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FAQs on Multiples of 840

1.How do you find the multiples of 840?

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2.What is the LCM of 7 and 840?

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3.What are the real-life applications of Multiples of 840?

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4.Are multiples of 840 finite or infinite?

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5.Is there any odd multiple of 840?

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Important Glossaries for Multiples of 840

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 840 include 840, 1680, 2520, 3360, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 840 are the numbers that consist of the number pattern of 840.

 

  • 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 840 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, and 840 are the divisors of 840.

 

  • LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 7 and 840 is 840.
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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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