160 LearnersLast updated on May 26th, 2025
Multiples of 137
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 137.
What are the Multiples of 137?
Now, let us learn more about multiples of 137. Multiples of 137 are the numbers you get when you multiply 137 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 137 can be denoted as 137 × 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 137 × 1 will give us 137 as the product. Multiples of 137 will be larger or equal to 137.
List of First 20 Multiples of 137
Multiples of 137 include the products of 137 and an integer. Multiples of 137 are divisible by 137 evenly. The first few multiples of 137 are given below:
| TABLE OF 137 (1-10) | |
|---|---|
|
137 x 1 = 137 |
137 x 6 = 822 |
|
137 x 2 = 274 |
137 x 7 = 959 |
|
137 x 3 = 411 |
137 x 8 = 1096 |
|
137 x 4 = 548 |
137 x 9 = 1233 |
|
137 x 5 = 685 |
137 x 10 = 1370 |
| TABLE OF 137 (11-20) | |
|---|---|
|
137 x 11 = 1507 |
137 x 16 = 2192 |
|
137 x 12 = 1644 |
137 x 17 = 2329 |
|
137 x 13 = 1781 |
137 x 18 = 2466 |
|
137 x 14 = 1918 |
137 x 19 = 2603 |
|
137 x 15 = 2055 |
137 x 20 = 2740 |
Now, we know the first few multiples of 137. They are 0, 137, 274, 411, 548, 685, 822, 959, 1096, 1233, 1370,...
Operations with Multiples of 137
Understanding the multiples of 137 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 137, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 137:
137, 274, 411, 548, and 685 are the first five multiples of 137. When multiplying 137 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
137 + 274 + 411 + 548 + 685 = 2055
When we add the first 5 multiples of 137, the answer will be 2055.
Subtraction of first 5 Multiples of 137:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 137, 274, 411, 548, and 685 are the first five multiples of 137. So, let us calculate it as given below:
137 - 274 = -137
-137 - 411 = -548
-548 - 548 = -1096
-1096 - 685 = -1781
Hence, the result of subtracting the first 5 multiples of 137 is -1781.
Average of first 5 Multiples of 137:
To calculate the average, we need to identify the sum of the first 5 multiples of 137 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 137 is 2055.
137 + 274 + 411 + 548 + 685 = 2055
Next, divide the sum by 5:
2055 ÷ 5 = 411
411 is the average of the first 5 multiples of 137.
Product of First 5 Multiples of 137:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 137 include: 137, 274, 411, 548, and 685. Now, the product of these numbers is:
137 × 274 × 411 × 548 × 685 = 74,472,235,740
The product of the first 5 multiples of 137 is 74,472,235,740.
Division of First 5 Multiples of 137:
While we perform division, we get to know how many times 137 can fit into each of the given multiples. 137, 274, 411, 548, and 685 are the first 5 multiples of 137.
137 ÷ 137 = 1
274 ÷ 137 = 2
411 ÷ 137 = 3
548 ÷ 137 = 4
685 ÷ 137 = 5
The results of dividing the first 5 multiples of 137 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 137
While working with multiples of 137, 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 137. 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 137 refer to the products we get while multiplying 137 with other numbers. For example, multiples of 137 include 0, 137, 274, 411, 548, 685, 822, 959, 1096…
The factors of 137 are 1 and 137. 137 is a prime number, so it only has itself and 1 as factors.
Factors of 137:
137 ÷ 1 = 137
137 ÷ 137 = 1
Multiples of 137 Examples
Problem 1
In a factory, each worker assembles 137 gadgets every day. If the factory employs 5 workers, how many gadgets are assembled in total over a week (7 days)?
4,795 gadgets
Explanation
Each worker assembles 137 gadgets per day. With 5 workers, the total number of gadgets assembled per day is 137 × 5. Over a week, the calculation is as follows:
Gadgets per day = 137 × 5 = 685
Number of days = 7
685 × 7 = 4,795
Therefore, 4,795 gadgets are assembled in a week.
Problem 2
A publishing house prints books in batches that are multiples of 137. If the first three batches contain the first three multiples of 137, how many books are printed in total?
822 books
Explanation
The first three multiples of 137 are 137, 274, and 411. Adding these gives the total number of books printed in the three batches:
First multiple: 137 × 1 = 137
Second multiple: 137 × 2 = 274
Third multiple: 137 × 3 = 411
Total books = 137 + 274 + 411 = 822
Problem 3
A large conference hall has 137 chairs in each row. If there are 6 rows, how many chairs are there in total?
822 chairs
Explanation
To find the total number of chairs, multiply the number of chairs per row by the number of rows:
Number of rows = 6
Number of chairs in each row = 137
137 × 6 = 822
Therefore, there are 822 chairs in total.
Problem 4
A community center organizes weekly art classes, each attended by 137 students. If the classes run for 3 weeks, how many student attendances are recorded in total?
411 student attendances
Explanation
To calculate the total student attendances, multiply the number of students per class by the number of weeks:
Students per class = 137
Number of weeks = 3
137 × 3 = 411
Thus, there are 411 student attendances recorded.
Problem 5
A research lab produces chemical samples in batches of 137. If the lab produces samples in 4 consecutive batches, how many samples are produced in total?
548 samples
Explanation
To find the total number of samples produced, multiply the number of samples per batch by the number of batches:
Samples per batch = 137
Number of batches = 4
137 × 4 = 548
Therefore, a total of 548 samples are produced.
FAQs on Multiples of 137
1.How do you find the multiples of 137?
2.What is the LCM of 7 and 137?
3.What are the real-life applications of Multiples of 137?
4.Are multiples of 137 finite or infinite?
5.Is there any odd multiples of 137?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 137?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 137 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 137?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 137 among early learners in Vietnam?
Important Glossaries for Multiples of 137
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 137 include 137, 274, 411, etc.
- Prime Number: A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. 137 is a prime number.
- Natural Number: Any positive integer starting from 1, such as 1, 2, 3, etc. Natural numbers are used to find multiples.
- Product: The result of multiplying two or more numbers together. For example, the product of 137 and 2 is 274.
- Divisor: A number by which another number is divided. For example, 137 is a divisor of its multiples, like 274 and 411.
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