156 LearnersLast updated on May 26th, 2025
Multiples of 117
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.
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.
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 |
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
Common Mistakes and How to Avoid Them in Multiples of 117
While working with multiples of 117, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 117. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number.
Multiples of 117 refer to the products we get while multiplying 117 with other numbers. For example, multiples of 117 include 0, 117, 234, 351, 468, 585, 702, 819, 936, 1053, 1170…
The factors of 117 are 1, 3, 9, 13, 39, and 117. When 117 is divided by these numbers, the remainder will be zero. These are the factors of 117, meaning that these numbers can divide 117 without any remainder.
Factors of 117:
117 ÷ 1 = 117
117 ÷ 3 = 39
117 ÷ 9 = 13
117 ÷ 13 = 9
117 ÷ 39 = 3
117 ÷ 117 = 1
Multiples of 117 Examples
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?
585 seeds
Explanation
Each week, Aisha gives away 117 seeds. To find the total number of seeds distributed over 5 weeks, we multiply 117 by 5
[117 \times 5 = 585]
Therefore, Aisha will have distributed 585 seeds by the end of the event.
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?
936 widgets
Explanation
The first machine produces 117 widgets, the second produces \(2 \times 117 = 234\) widgets, and the third produces
(3 x 117 = 351) widgets. The total number of widgets produced is:
[117 + 234 + 351 = 702]
Therefore, the machines produce a total of 702 widgets in one batch each.
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?
819 seats
Explanation
To find the total number of seats, multiply the number of rows by the number of seats per row.
[117 x 7 = 819]
Therefore, there are 819 seats in total at the concert.
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?
702 bushels
Explanation
The total yield is calculated by multiplying the number of plots by the bushels per plot.
[117 x 6 = 702]
Therefore, the farmer produces 702 bushels of corn
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?
351 chairs
Explanation
Multiply the number of rows by the number of chairs per row.
[117 x 3 = 351]
Therefore, Leena sets up a total of 351 chairs.
FAQs on Multiples of 117
1.How do you find the multiples of 117?
2.What is the LCM of 7 and 117?
3.What are the real-life applications of Multiples of 117?
4.Are multiples of 117 finite or infinite?
5.Is there any odd multiples of 117?
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.
Fun Fact
: She has songs for each table which helps her to remember the tables
