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Last updated on February 11th, 2025

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Multiples of 137

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Foundation
Intermediate
Advance Topics

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.

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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.multiples of 137
 

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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,...
 

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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.
 

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Common Mistakes and How to Avoid Them in Multiples of 137

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Multiples of 137 Examples

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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)?

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Explanation

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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?

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Explanation

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Problem 3

A large conference hall has 137 chairs in each row. If there are 6 rows, how many chairs are there in total?

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Explanation

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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?

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Explanation

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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?

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Explanation

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FAQs on Multiples of 137

1.How do you find the multiples of 137?

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2.What is the LCM of 7 and 137?

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3.What are the real-life applications of Multiples of 137?

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4.Are multiples of 137 finite or infinite?

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5.Is there any odd multiples of 137?

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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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