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Last updated on February 27th, 2025

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Multiples of 117

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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 117.

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What are the Multiples of 117?

Now, let us learn more about multiples of 117. Multiples of 117 are the numbers you get when you multiply 117 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 117 can be denoted as 117 × 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 117 × 1 will give us 117 as the product. Multiples of 117 will be larger or equal to 117.

multiples of 117
 

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List of First 20 Multiples of 117

Multiples of 117 include the products of 117 and an integer. Multiples of 117 are divisible by 117 evenly. The first few multiples of 117 are given below:

Now, we know the first few multiples of 117. They are 0, 117, 234, 351, 468, 585, 702, 819, 936, 1053, 1170,...
 

TABLE OF 117 (1-10)

117 x 1 = 117

117 x 6 = 702

117 x 2 = 234

117 x 7 = 819

117 x 3 = 351

117 x 8 = 936

117 x 4 = 468

117 x 9 = 1053

117 x 5 = 585

117 x 10 = 1170

 

TABLE OF 117 (11-20)

117 x 11 = 1287

117 x 16 = 1872

117 x 12 = 1404

117 x 17 = 1989

117 x 13 = 1521

117 x 18 = 2106

117 x 14 = 1638

117 x 19 = 2223

117 x 15 = 1755

117 x 20 = 2340

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Operations with Multiples of 117

Understanding the multiples of 117 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 117, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 117:


117, 234, 351, 468, and 585 are the first five multiples of 117. When multiplying 117 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:


117 + 234 + 351 + 468 + 585 = 1755


When we add the first 5 multiples of 117, the answer will be 1755.

 

Subtraction of first 5 Multiples of 117:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 117, 234, 351, 468, and 585 are the first five multiples of 117. So, let us calculate it as given below:


117 - 234 = -117
-117 - 351 = -468
-468 - 468 = -936
-936 - 585 = -1521


Hence, the result of subtracting the first 5 multiples of 117 is -1521.

 

Average of first 5 Multiples of 117:


To calculate the average, we need to identify the sum of the first 5 multiples of 117, and then divide it by the count, i.e., 5. Because there are 5 multiples present 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 117 is 1755.


117 + 234 + 351 + 468 + 585 = 1755


Next, divide the sum by 5:


1755 ÷ 5 = 351


351 is the average of the first 5 multiples of 117.

 

Product of First 5 Multiples of 117:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 117 include: 117, 234, 351, 468, and 585. Now, the product of these numbers is:


117 × 234 × 351 × 468 × 585 = 20,948,020,460


The product of the first 5 multiples of 117 is 20,948,020,460.

 

Division of First 5 Multiples of 117:


While we perform division, we get to know how many times 117 can fit into each of the given multiples. 117, 234, 351, 468, and 585 are the first 5 multiples of 117.


117 ÷ 117 = 1
234 ÷ 117 = 2
351 ÷ 117 = 3
468 ÷ 117 = 4
585 ÷ 117 = 5    


The results of dividing the first 5 multiples of 117 are: 1, 2, 3, 4, and 5
 

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Common Mistakes and How to Avoid Them in Multiples of 117

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Multiples of 117 Examples

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Problem 1

Aisha is organizing a charity event where she gives away packets of seeds. Each packet contains 117 seeds. If she distributes packets over 5 weeks, giving away one packet each week, how many seeds will she have distributed by the end of the event?

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Explanation

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Problem 2

In a factory, machines produce widgets in batches. The first machine produces 117 widgets in a batch, the second machine produces twice that amount, and the third machine produces three times the amount of the first. How many widgets do the machines produce in total for one batch each?

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Explanation

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Problem 3

At a concert, each row in the audience contains 117 seats. If there are 7 rows of seats, how many seats are there in total?

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Explanation

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Problem 4

A farmer grows corn in plots of land. Each plot yields 117 bushels of corn. If the farmer has 6 plots, how much corn does he produce?

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Explanation

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Problem 5

Leena is arranging chairs for a conference. She sets up 3 rows of chairs, with each row containing 117 chairs. How many chairs are set up in total?

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Explanation

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FAQs on Multiples of 117

1.How do you find the multiples of 117?

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2.What is the LCM of 7 and 117?

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3.What are the real-life applications of Multiples of 117?

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4.Are multiples of 117 finite or infinite?

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5.Is there any odd multiples of 117?

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Important Glossaries for Multiples of 117

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 117 include 117, 234, 351, 468, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 117 are the numbers that consist of the number pattern of 117.

 

  • Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 117 are odd numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 9, 13, 39, and 117 are the divisors of 117.

 

  • LCM (Least Common Multiple): The smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 117 is 819.
     
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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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