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Last updated on February 11th, 2025

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Multiples of 138

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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 138.

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What are the Multiples of 138?

Now, let us learn more about multiples of 138. Multiples of 138 are the numbers you get when you multiply 138 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 138 can be denoted as 138 × 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 138 × 1 will give us 138 as the product. Multiples of 138 will be larger or equal to 138.multiples of 138
 

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List of First 20 Multiples of 138

Multiples of 138 include the products of 138 and an integer. Multiples of 138 are divisible by 138 evenly. The first few multiples of 138 are given below:

 

TABLE OF 138 (1-10)

138 x 1 = 138

138 x 6 = 828

138 x 2 = 276

138 x 7 = 966

138 x 3 = 414

138 x 8 = 1104

138 x 4 = 552

138 x 9 = 1242

138 x 5 = 690

138 x 10 = 1380

 

TABLE OF 138 (11-20)

138 x 11 = 1518

138 x 16 = 2208

138 x 12 = 1656

138 x 17 = 2346

138 x 13 = 1794

138 x 18 = 2484

138 x 14 = 1932

138 x 19 = 2622

138 x 15 = 2070

138 x 20 = 2760

 

Now, we know the first few multiples of 138. They are 0, 138, 276, 414, 552, 690, 828, 966, 1104, 1242, 1380,...
 

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Operations with Multiples of 138

Understanding the multiples of 138 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 138, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 138:

 

138, 276, 414, 552, and 690 are the first five multiples of 138. When multiplying 138 from 1 to 5 we get these numbers as the products.  


So, the sum of these multiples is:


138 + 276 + 414 + 552 + 690 = 2070  


When we add the first 5 multiples of 138 the answer will be 2070.  

 

Subtraction of First 5 Multiples of 138:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 138, 276, 414, 552, and 690 are the first five multiples of 138. So, let us calculate it as given below:


138 - 276 = -138  
-138 - 414 = -552  
-552 - 552 = -1104  
-1104 - 690 = -1794  


Hence, the result of subtracting the first 5 multiples of 138 is -1794.

 

Average of First 5 Multiples of 138:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 138, 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 138 is 2070.


138 + 276 + 414 + 552 + 690 = 2070  


Next, divide the sum by 5:


2070 ÷ 5 = 414  


414 is the average of the first 5 multiples of 138.

 

Product of First 5 Multiples of 138:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 138 include: 138, 276, 414, 552, and 690. Now, the product of these numbers is:


138 × 276 × 414 × 552 × 690 = 11,589,369,600,000  


The product of the first 5 multiples of 138 is 11,589,369,600,000.

 

Division of First 5 Multiples of 138:

 

While we perform division, we get to know how many times 138 can fit into each of the given multiples. 138, 276, 414, 552, and 690 are the first 5 multiples of 138.


138 ÷ 138 = 1  
276 ÷ 138 = 2  
414 ÷ 138 = 3  
552 ÷ 138 = 4  
690 ÷ 138 = 5  


The results of dividing the first 5 multiples of 138 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 138

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Multiples of 138 Examples

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Problem 1

A new art gallery is being set up, and each display section can hold 138 paintings. If the gallery plans to set up 6 sections, how many paintings can the gallery hold in total?

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Explanation

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Problem 2

A music festival plans to distribute promotional flyers in bundles. Each bundle contains 138 flyers. If the festival organizers prepare bundles for the first three venues they are visiting, how many flyers will each venue receive?

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Explanation

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Problem 3

A farmer has 138 apple trees. If he decides to plant the same number of trees in 5 different orchards, how many apple trees will he plant in total?

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Explanation

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Problem 4

A company is designing a new product line and plans to manufacture 138 units of each product type. If there are 4 different types of products, how many units will be manufactured in total?

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Explanation

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Problem 5

An event planner needs to organize chairs for a conference. If each row in the conference hall accommodates 138 chairs, and there are 3 rows, how many chairs are there in total?

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Explanation

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FAQs on Multiples of 138

1.How do you find the multiples of 138?

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2.What is the LCM of 23 and 138?

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3.What are the real-life applications of Multiples of 138?

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4.Are multiples of 138 finite or infinite?

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5.Is there any odd multiples of 138?

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Important Glossaries for Multiples of 138

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 138 include 138, 276, 414, 552, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 138 are the numbers that consist of the number pattern of 138.
     
  • 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 138 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 23, 46, 69, and 138 are the divisors of 138.
     
  • LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 23 and 138 is 138.
     
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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.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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