208 LearnersLast updated on May 26th, 2025
Multiples of 115
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 115.
What are the Multiples of 115?
Now, let us learn more about multiples of 115. Multiples of 115 are the numbers you get when you multiply 115 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 115 can be denoted as 115 × 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 115 × 1 will give us 115 as the product. Multiples of 115 will be larger or equal to 115.
List of First 20 Multiples of 115
Multiples of 115 include the products of 115 and an integer. Multiples of 115 are divisible by 115 evenly. The first few multiples of 115 are given below:
Now, we know the first few multiples of 115. They are 0, 115, 230, 345, 460, 575, 690, 805, 920, 1035, 1150,...
| TABLE OF 115 (1-10) | |
|---|---|
|
115 x 1 = 115 |
115 x 6 = 690 |
|
115 x 2 = 230 |
115 x 7 = 805 |
|
115 x 3 = 345 |
115 x 8 = 920 |
|
115 x 4 = 460 |
115 x 9 = 1035 |
|
115 x 5 = 575 |
115 x 10 = 1150 |
| TABLE OF 115 (11-20) | |
|---|---|
|
115 x 11 = 1265 |
115 x 16 = 1840 |
|
115 x 12 = 1380 |
115 x 17 = 1955 |
|
115 x 13 = 1495 |
115 x 18 = 2070 |
|
115 x 14 = 1610 |
115 x 19 = 2185 |
|
115 x 15 = 1725 |
115 x 20 = 2300 |
Operations with Multiples of 115
Understanding the multiples of 115 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 115, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 115:
115, 230, 345, 460, and 575 are the first five multiples of 115. When multiplying 115 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
115 + 230 + 345 + 460 + 575 = 1725
When we add the first 5 multiples of 115, the answer will be 1725.
Subtraction of first 5 Multiples of 115:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 115, 230, 345, 460, and 575 are the first five multiples of 115. So, let us calculate it as given below:
115 - 230 = -115
-115 - 345 = -460
-460 - 460 = -920
-920 - 575 = -1495
Hence, the result of subtracting the first 5 multiples of 115 is -1495.
Average of first 5 Multiples of 115:
To calculate the average, we need to identify the sum of the first 5 multiples of 115 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 115 is 1725.
115 + 230 + 345 + 460 + 575 = 1725
Next, divide the sum by 5:
1725 ÷ 5 = 345
345 is the average of the first 5 multiples of 115.
Product of First 5 Multiples of 115:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 115 include: 115, 230, 345, 460, and 575. Now, the product of these numbers is:
115 × 230 × 345 × 460 × 575 = 21,947,962,500
The product of the first 5 multiples of 115 is 21,947,962,500.
Division of First 5 Multiples of 115:
While we perform division, we get to know how many times 115 can fit into each of the given multiples. 115, 230, 345, 460, and 575 are the first 5 multiples of 115.
115 ÷ 115 = 1
230 ÷ 115 = 2
345 ÷ 115 = 3
460 ÷ 115 = 4
575 ÷ 115 = 5
The results of dividing the first 5 multiples of 115 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 115
While working with multiples of 115, 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 115. 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 115 refer to the products we get while multiplying 115 with other numbers. For example, multiples of 115 include 0, 115, 230, 345, 460, 575, 690, 805, 920, 1035, 1150….
The factors of 115 are 1, 5, 23, and 115. When 115 is divided by 1, 5, 23, and 115, the remainder will be zero. These are the factors of 115, meaning that these numbers can divide 115 without any remainder.
Factors of 115:
115 ÷ 1 = 115
115 ÷ 5 = 23
115 ÷ 23 = 5
115 ÷ 115 = 1
Multiples of 115 Examples
Problem 1
Elena is organizing a charity event where every ticket sold includes a donation of $115. If her team sells 5 tickets each week, how much money will they have raised for charity after 6 weeks?
$3,450
Explanation
Each week, they raise $115 per ticket. To find the total amount raised after 6 weeks, multiply 115 by the number of tickets sold per week and the number of weeks.
Tickets sold each week = 5
Number of weeks = 6
115 × 5 × 6 = $3,450
They will have raised $3,450 for charity after 6 weeks.
Problem 2
In a marathon, there are checkpoints every 115 meters. If a runner completes a race that consists of the first three multiples of 115 meters, how many meters did they run?
690 meters
Explanation
The first three multiples of 115 are 115, 230, and 345. The total distance run is the sum of these multiples.
115 × 1 = 115
115 × 2 = 230
115 × 3 = 345
115 + 230 + 345 = 690
The runner completed a total of 690 meters.
Problem 3
A factory produces 115 widgets per hour. If the factory operates 8 hours a day, how many widgets will it produce in a 5-day workweek?
4,600 widgets
Explanation
First, find the number of widgets produced in one day, then multiply by the number of days in a workweek.
Widgets per hour = 115
Hours per day = 8
Days per week = 5
115 × 8 × 5 = 4,600
The factory will produce 4,600 widgets in a 5-day workweek.
Problem 4
Lucas is stacking boxes in a warehouse. Each stack contains 115 boxes. If there are 7 stacks, how many boxes are there in total?
805 boxes
Explanation
To find the total number of boxes, multiply the number of boxes in each stack by the number of stacks.
Boxes per stack = 115
Number of stacks = 7
115 × 7 = 805
There are 805 boxes in total.
Problem 5
A library is cataloging books in sets of 115. The first section has 115 books, the second section has 230 books, and the third section has 345 books. How many books are there in these three sections?
690 books
Explanation
The first section has 115 books, the second has 230 books, and the third has 345 books. Add them together to find the total number of books.
115 + 230 + 345 = 690
There are 690 books in total in the three sections.
FAQs on Multiples of 115
1.How do you find the multiples of 115?
2.What is the LCM of 7 and 115?
3.What are the real-life applications of Multiples of 115?
4.Are multiples of 115 finite or infinite?
5.Is there any odd multiples of 115?
Important Glossaries for Multiples of 115
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 115 include 115, 230, 345, 460, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 115 are the numbers that consist of the number pattern of 115.
- Odd number: An odd number is a number that is not divisible by 2 without leaving a remainder. The last digits of odd numbers can be 1, 3, 5, 7, or 9. Some multiples of 115 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 5, 23, and 115 are the divisors of 115.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each number in a set of numbers. For instance, the LCM of 7 and 115 is 805.
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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
