352 LearnersLast updated on May 26th, 2025
Multiples of 119
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 119.
What are the Multiples of 119?
Now, let us learn more about multiples of 119. Multiples of 119 are the numbers you get when you multiply 119 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 119 can be denoted as 119 × 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 119 × 1 will give us 119 as the product. Multiples of 119 will be larger or equal to 119.
List of First 20 Multiples of 119
Multiples of 119 include the products of 119 and an integer. Multiples of 119 are divisible by 119 evenly. The first few multiples of 119 are given below:
Now, we know the first few multiples of 119. They are 0, 119, 238, 357, 476, 595, 714, 833, 952, 1071, 1190,...
| TABLE OF 119 (1-10) | |
|---|---|
|
119 x 1 = 119 |
119 x 6 = 714 |
|
119 x 2 = 238 |
119 x 7 = 833 |
|
119 x 3 = 357 |
119 x 8 = 952 |
|
119 x 4 = 476 |
119 x 9 = 1071 |
|
119 x 5 = 595 |
119 x 10 = 1190 |
| TABLE OF 119 (11-20) | |
|---|---|
|
119 x 11 = 1309 |
119 x 16 = 1904 |
|
119 x 12 = 1428 |
119 x 17 = 2023 |
|
119 x 13 = 1547 |
119 x 18 = 2142 |
|
119 x 14 = 1666 |
119 x 19 = 2261 |
|
119 x 15 = 1785 |
119 x 20 = 2380 |
Operations with Multiples of 119
Understanding the multiples of 119 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 119, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 119:
119, 238, 357, 476, and 595 are the first five multiples of 119. When multiplying 119 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
119 + 238 + 357 + 476 + 595 = 1785
When we add the first 5 multiples of 119, the answer will be 1785.
Subtraction of first 5 Multiples of 119:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 119, 238, 357, 476, and 595 are the first five multiples of 119. So, let us calculate it as given below:
119 - 238 = -119
-119 - 357 = -476
-476 - 476 = -952
-952 - 595 = -1547
Hence, the result of subtracting the first 5 multiples of 119 is -1547.
Average of first 5 Multiples of 119:
To calculate the average, we need to identify the sum of the first 5 multiples of 119, 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 119 is 1785.
119 + 238 + 357 + 476 + 595 = 1785
Next, divide the sum by 5:
1785 ÷ 5 = 357
357 is the average of the first 5 multiples of 119.
Product of First 5 Multiples of 119:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 119 include: 119, 238, 357, 476, and 595. Now, the product of these numbers is:
119 × 238 × 357 × 476 × 595 = 11,936,480,460
The product of the first 5 multiples of 119 is quite large and often not calculated this way in practice.
Division of First 5 Multiples of 119:
While we perform division, we get to know how many times 119 can fit into each of the given multiples. 119, 238, 357, 476, and 595 are the first 5 multiples of 119.
119 ÷ 119 = 1
238 ÷ 119 = 2
357 ÷ 119 = 3
476 ÷ 119 = 4
595 ÷ 119 = 5
The results of dividing the first 5 multiples of 119 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 119
While working with multiples of 119, 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 119. 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 119 refer to the products we get while multiplying 119 with other numbers. For example, multiples of 119 include 0, 119, 238, 357, 476, 595, 714, 833, 952, 1071, 1190….
The factors of 119 are 1, 7, 17, and 119. When 119 is divided by these numbers, the remainder will be zero. These are the factors of 119, meaning that these numbers can divide 119 without any remainder.
Factors of 119:
119 ÷ 1 = 119
119 ÷ 7 = 17
119 ÷ 17 = 7
119 ÷ 119 = 1
Multiples of 119 Examples
Problem 1
Emma is organizing a charity event where each participant donates 119 dollars. If she has 10 participants in the first month and this number doubles every month, how much money will be donated after 3 months?
4760 dollars
Explanation
In the first month, 10 participants donate 119 dollars each. The number of participants doubles each month. We calculate the total donations for each month and sum them up.
- Month 1: 10 × 119 = 1190 dollars
- Month 2: 20 × 119 = 2380 dollars
- Month 3: 40 × 119 = 4760 dollars
After 3 months, the total donation amount is 4760 dollars.
Problem 2
A farmer is planting rows of apple trees. Each row contains 119 trees. If he plants a different number of rows each year following the sequence of the first three multiples of 119, how many trees will he plant in each successive year?
The first three multiples of 119 are 119, 238, and 357. In the first year, he plants 119 trees. In the second year, 238 trees, and in the third year, 357 trees.
Explanation
The farmer follows the multiples of 119 for the number of trees each year. They are:
- Year 1: 119 × 1 = 119 trees
- Year 2: 119 × 2 = 238 trees
- Year 3: 119 × 3 = 357 trees
Thus, the farmer plants 119, 238, and 357 trees in the first, second, and third year, respectively.
Problem 3
In a new board game, each player starts with 119 points. There are 8 players in the game. How many total points are there at the beginning of the game?
952 points
Explanation
To find the total number of points, we need to multiply the number of players by the points each player starts with.
- Number of players = 8
- Points per player = 119
8 × 119 = 952
Therefore, there are 952 total points at the beginning of the game.
Problem 4
A baker makes batches of cookies, with each batch containing 119 cookies. If he makes 7 batches in a week, how many cookies does he make in total?
833 cookies
Explanation
: To find the total number of cookies, we multiply the number of batches by the cookies in each batch.
- Number of batches = 7
- Cookies per batch = 119
7 × 119 = 833
Thus, the baker makes 833 cookies in total in a week.
Problem 5
A warehouse stacks crates in layers. Each layer has 119 crates. If there are 5 layers, how many crates are there in total?
595 crates
Explanation
To determine the total number of crates, we multiply the number of layers by the crates in each layer.
- Number of layers = 5
- Crates per layer = 119
5 × 119 = 595
Therefore, there are 595 crates in total in the warehouse.
FAQs on Multiples of 119
1.How do you find the multiples of 119?
2.What is the LCM of 7 and 119?
3.What are the real-life applications of Multiples of 119?
4.Are multiples of 119 finite or infinite?
5.Is there any odd multiples of 119?
Important Glossaries for Multiples of 119
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 119 include 119, 238, 357, 476, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 119 are the numbers that consist of the number pattern of 119.
- 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 119 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 7, 17, and 119 are the divisors of 119.
- Product: The result of multiplying two or more numbers together. For example, the product of 119 and 3 is 357.
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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
