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104 LearnersLast updated on March 28th, 2025
Multiples of 187
In math, multiples are the products we get when 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 187.
What are the Multiples of 187?
Now, let us learn more about multiples of 187. Multiples of 187 are the numbers you get when you multiply 187 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 187 can be denoted as 187 × 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 187 × 1 will give us 187 as the product. Multiples of 187 will be larger or equal to 187.
List of First 20 Multiples of 187
Multiples of 187 include the products of 187 and an integer. Multiples of 187 are divisible by 187 evenly. The first few multiples of 187 are given below:
| TABLE OF 187 (1-10) | |
|---|---|
|
187 x 1 = 187 |
187 x 6 = 1122 |
|
187 x 2 = 374 |
187 x 7 = 1309 |
|
187 x 3 = 561 |
187 x 8 = 1496 |
|
187 x 4 = 748 |
187 x 9 = 1683 |
|
187 x 5 = 935 |
187 x 10 = 1870 |
| TABLE OF 187 (11-20) | |
|---|---|
|
187 x 11 = 2057 |
187 x 16 = 2992 |
|
187 x 12 = 2244 |
187 x 17 = 3179 |
|
187 x 13 = 2431 |
187 x 18 = 3366 |
|
187 x 14 = 2618 |
187 x 19 = 3553 |
|
187 x 15 = 2805 |
187 x 20 = 3740 |
Now, we know the first few multiples of 187. They are 0, 187, 374, 561, 748, 935, 1122, 1309, 1496, 1683, 1870,...
Operations with Multiples of 187
Understanding the multiples of 187 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 187, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 187:
187, 374, 561, 748, and 935 are the first five multiples of 187. When multiplying 187 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
187 + 374 + 561 + 748 + 935 = 2805
When we add the first 5 multiples of 187, the answer will be 2805.
Subtraction of first 5 Multiples of 187:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 187, 374, 561, 748, and 935 are the first five multiples of 187. So, let us calculate it as given below:
187 - 374 = -187
-187 - 561 = -748
-748 - 748 = -1496
-1496 - 935 = -2431
Hence, the result of subtracting the first 5 multiples of 187 is -2431.
Average of first 5 Multiples of 187:
To calculate the average, we need to identify the sum of the first 5 multiples of 187, 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 187 is 2805.
187 + 374 + 561 + 748 + 935 = 2805
Next, divide the sum by 5:
2805 ÷ 5 = 561
561 is the average of the first 5 multiples of 187.
Product of First 5 Multiples of 187:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 187 include: 187, 374, 561, 748, and 935. Now, the product of these numbers is:
187 × 374 × 561 × 748 × 935 = 28,238,124,980
The product of the first 5 multiples of 187 is 28,238,124,980.
Division of First 5 Multiples of 187:
While we perform division, we get to know how many times 187 can fit into each of the given multiples. 187, 374, 561, 748, and 935 are the first 5 multiples of 187.
187 ÷ 187 = 1
374 ÷ 187 = 2
561 ÷ 187 = 3
748 ÷ 187 = 4
935 ÷ 187 = 5
The results of dividing the first 5 multiples of 187 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 187
While working with multiples of 187, 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 187. 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 187 refer to the products we get while multiplying 187 with other numbers. For example, multiples of 187 include 0, 187, 374, 561, 748, 935, 1122, 1309, 1496, 1683, 1870….
The factors of 187 are 1, 11, 17, and 187. When 187 is divided by 1, 11, 17, and 187, the remainder will be zero. These are the factors of 187 meaning that these numbers can divide 187 without any remainder.
Factors of 187:
187 ÷ 1 = 187
187 ÷ 11 = 17
187 ÷ 17 = 11
187 ÷ 187 = 1
Multiples of 187 Examples
Problem 1
Lila is organizing a charity event where she wants to distribute gift bags. Each gift bag contains 187 items. If she plans to give out 3 gift bags each month, how many items will she distribute in total over 6 months?
3366 items
Explanation
Each gift bag contains 187 items. To find the total number of items distributed in 6 months, multiply the number of gift bags by the number of items in each and then by the number of months.
Gift bags per month = 3
Number of months = 6
187 × 3 × 6 = 3366
Lila will distribute 3366 items in total over 6 months.
Problem 2
In a puzzle competition, the first, second, and third place winners receive 187, 374, and 561 pieces in a puzzle set, respectively. How many puzzle pieces were awarded in total?
1122 pieces
Explanation
The first three multiples of 187 are 187, 374, and 561.
187 × 1 = 187
187 × 2 = 374
187 × 3 = 561
Total pieces awarded = 187 + 374 + 561 = 1122
Therefore, a total of 1122 puzzle pieces were awarded.
Problem 3
A company produces toys in batches. Each batch contains 187 toys. If the company produces 5 batches in a week, how many toys are produced in 4 weeks?
3740 toys
Explanation
To find the total number of toys produced, multiply the number of batches by the number of toys per batch and then by the number of weeks.
Batches per week = 5
Number of weeks = 4
187 × 5 × 4 = 3740
The company produces 3740 toys in 4 weeks.
Problem 4
Raj is collecting stamps and organizes them in albums. Each album can hold 187 stamps. If he fills 6 albums, how many stamps does he have in total?
1122 stamps
Explanation
To find the total number of stamps, multiply the number of albums by the number of stamps each album holds.
Number of albums = 6
187 × 6 = 1122
Raj has a total of 1122 stamps in his collection.
Problem 5
A large conference room has a seating arrangement where each row can accommodate 187 chairs. If there are 7 rows, how many chairs are there in total?
1309 chairs
Explanation
To find the total number of chairs, multiply the number of rows by the number of chairs per row.
Number of rows = 7
187 × 7 = 1309
There are 1309 chairs in total in the conference room.
FAQs on Multiples of 187
1.How do you find the multiples of 187?
2.What is the LCM of 11 and 187?
3.What are the real-life applications of Multiples of 187?
4.Are multiples of 187 finite or infinite?
5.Is there any odd multiple of 187?
Important Glossaries for Multiples of 187
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 187 include 187, 374, 561, 748, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 187 are the numbers that consist of the number pattern of 187.
- Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. Multiples of 187 can include odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 11, 17, and 187 are the divisors of 187.
- Infinite sequence: An infinite sequence is a sequence that continues indefinitely. The sequence of multiples of 187 is infinite.
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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
