168 LearnersLast updated on May 26th, 2025
Multiples of 118
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 118.
What are the Multiples of 118?
Now, let us learn more about multiples of 118. Multiples of 118 are the numbers you get when you multiply 118 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 118 can be denoted as 118 × 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 118 × 1 will give us 118 as the product. Multiples of 118 will be larger or equal to 118.
List of First 20 Multiples of 118
Multiples of 118 include the products of 118 and an integer. Multiples of 118 are divisible by 118 evenly. The first few multiples of 118 are given below:
Now, we know the first few multiples of 118. They are 0, 118, 236, 354, 472, 590, 708, 826, 944, 1062, 1180,...
| TABLE OF 118 (1-10) | |
|---|---|
|
118 x 1 = 118 |
118 x 6 = 708 |
|
118 x 2 = 236 |
118 x 7 = 826 |
|
118 x 3 = 354 |
118 x 8 = 944 |
|
118 x 4 = 472 |
118 x 9 = 1062 |
|
118 x 5 = 590 |
118 x 10 = 1180 |
| TABLE OF 118 (11-20) | |
|---|---|
|
118 x 11 = 1298 |
118 x 16 = 1888 |
|
118 x 12 = 1416 |
118 x 17 = 2006 |
|
118 x 13 = 1534 |
118 x 18 = 2124 |
|
118 x 14 = 1652 |
118 x 19 = 2242 |
|
118 x 15 = 1770 |
118 x 20 = 2360 |
Operations with Multiples of 118
Understanding the multiples of 118 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 118, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 118:
118, 236, 354, 472, and 590 are the first five multiples of 118. When multiplying 118 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
118 + 236 + 354 + 472 + 590 = 1770
When we add the first 5 multiples of 118, the answer will be 1770.
Subtraction of first 5 Multiples of 118:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 118, 236, 354, 472, and 590 are the first five multiples of 118. So, let us calculate it as given below:
118 - 236 = -118
-118 - 354 = -472
-472 - 472 = -944
-944 - 590 = -1534
Hence, the result of subtracting the first 5 multiples of 118 is -1534.
Average of first 5 Multiples of 118:
To calculate the average, we need to identify the sum of the first 5 multiples of 118, 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 118 is 1770.
118 + 236 + 354 + 472 + 590 = 1770
Next, divide the sum by 5:
1770 ÷ 5 = 354
354 is the average of the first 5 multiples of 118.
Product of First 5 Multiples of 118:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 118 include: 118, 236, 354, 472, and 590. Now, the product of these numbers is:
118 × 236 × 354 × 472 × 590 = 10,404,409,920
The product of the first 5 multiples of 118 is 10,404,409,920.
Division of First 5 Multiples of 118:
While we perform division, we get to know how many times 118 can fit into each of the given multiples. 118, 236, 354, 472, and 590 are the first 5 multiples of 118.
118 ÷ 118 = 1
236 ÷ 118 = 2
354 ÷ 118 = 3
472 ÷ 118 = 4
590 ÷ 118 = 5
The results of dividing the first 5 multiples of 118 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 118
While working with Multiples of 118, 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 118. 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 118 refer to the products we get while multiplying 118 with other numbers. For example, multiples of 118 include 0, 118, 236, 354, 472, 590, 708, 826, 944, 1062, 1180….
The factors of 118 are 1, 2, 59, and 118. When 118 is divided by 1, 2, 59, and 118, the remainder will be zero. These are the factors of 118 meaning that these numbers can divide 118 without any remainder.
Factors of 118:
118 ÷ 1 = 118
118 ÷ 2 = 59
118 ÷ 59 = 2
118 ÷ 118 = 1
Multiples of 118 Examples
Problem 1
Maya is organizing an art exhibition every month. Each exhibition displays 118 paintings. If she continues this for 5 months, how many paintings will be displayed in total?
590 paintings
Explanation
Each month, 118 paintings are displayed. To find the total number of paintings over 5 months, multiply 118 by 5.
Paintings per month = 118
Number of months = 5
118 × 5 = 590
Therefore, 590 paintings will be displayed in total.
Problem 2
In a community garden, three friends, Alex, Ben, and Clara, plant trees in multiples of 118. Alex plants the first multiple, Ben plants the second, and Clara plants the third. How many trees does each person plant?
Alex plants 118 trees, Ben plants 236 trees, and Clara plants 354 trees.
Explanation
The first three multiples of 118 are:
118 × 1 = 118
118 × 2 = 236
118 × 3 = 354
Hence, Alex plants 118 trees, Ben plants 236 trees, and Clara plants 354 trees.
Problem 3
A factory produces boxes of chocolates, each containing 118 chocolates. If there are 6 such boxes produced each day, how many chocolates are produced in a week?
4,956 chocolates.
Explanation
To find the total number of chocolates produced in a week (7 days), multiply the number of chocolates per box by the number of boxes produced each day and then by the number of days in a week.
Chocolates per box = 118
Number of boxes per day = 6
Number of days in a week = 7
118 × 6 × 7 = 4,956
Therefore, 4,956 chocolates are produced in a week.
Problem 4
A library organizes its books in stacks, each stack containing 118 books. If there are 3 shelves, each with 4 stacks, how many books are there in total in the library?
1,416 books.
Explanation
To find the total number of books, multiply the number of books per stack by the number of stacks per shelf and then by the number of shelves.
Books per stack = 118
Number of stacks per shelf = 4
Number of shelves = 3
118 × 4 × 3 = 1,416
Therefore, there are 1,416 books in total in the library.
Problem 5
In a sports league, each team plays 118 games in a season. If there are 3 teams, how many games are played in total during the season?
354 games.
Explanation
To find the total number of games played, multiply the number of games each team plays by the number of teams.
Games per team = 118
Number of teams = 3
118 × 3 = 354
Therefore, a total of 354 games are played during the season.
FAQs on Multiples of 118
1.How do you find the multiples of 118?
2.What is the LCM of 59 and 118?
3.What are the real-life applications of Multiples of 118?
4.Are multiples of 118 finite or infinite?
5.Is there any odd multiples of 118?
Important Glossaries for Multiples of 118
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 118 include 118, 236, 354, 472, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 118 are the numbers that consist of the number pattern of 118.
- 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 118 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 59, and 118 are the divisors of 118.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by every number in a set. For example, the LCM of 59 and 118 is 118.
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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
