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Last updated on March 29th, 2025

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Multiples of 26

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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 26.

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What are the Multiples of 26?

Now, let us learn more about multiples of 26. Multiples of 26 are the numbers you get when you multiply 26 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 26 can be denoted as 26 × 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 26 × 1 will give us 26 as the product. Multiples of 26 will be larger or equal to 26.

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List of First 20 Multiples of 26

Multiples of 26 include the products of 26 and an integer. Multiples of 26 are divisible by 26 evenly. The first few multiples of 26 are given below:

 

TABLE OF 26 (1-10)

26 x 1 = 26

26 x 6 = 156

26 x 2 = 52

26 x 7 = 182

26 x 3 = 78

26 x 8 = 208

26 x 4 = 104

26 x 9 = 234

26 x 5 = 130

26 x 10 = 260

 

TABLE OF 26 (11-20)

26 x 11 = 286

26 x 16 = 416

26 x 12 = 312

26 x 17 = 442

26 x 13 = 338

26 x 18 = 468

26 x 14 = 364

26 x 19 = 494

26 x 15 = 390

26 x 20 = 520

 

Now, we know the first few multiples of 26. They are 0, 26, 52, 78, 104, 130, 156, 182, 208, 234, 260,...

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Operations with Multiples of 26

Understanding the multiples of 26 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 26, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 26:


26, 52, 78, 104, and 130 are the first five multiples of 26. When multiplying 26 from 1 to 5 we get these numbers as the products.  
So, the sum of these multiples is:


26 + 52 + 78 + 104 + 130 = 390


When we add the first 5 multiples of 26, the answer will be 390.

 

Subtraction of first 5 Multiples of 26:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 26, 52, 78, 104, and 130 are the first five multiples of 26. So, let us calculate it as given below:


26 - 52 = -26
-26 - 78 = -104
-104 - 104 = -208
-208 - 130 = -338


Hence, the result of subtracting the first 5 multiples of 26 is -338.

 

Average of first 5 Multiples of 26:


To calculate the average, we need to identify the sum of the first 5 multiples of 26, 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 26 is 390.


26 + 52 + 78 + 104 + 130 = 390


Next, divide the sum by 5:


390 ÷ 5 = 78


78 is the average of the first 5 multiples of 26.

 

Product of First 5 Multiples of 26:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 26 include: 26, 52, 78, 104, and 130. Now, the product of these numbers is:


26 × 52 × 78 × 104 × 130 = 13,206,128,320


The product of the first 5 multiples of 26 is 13,206,128,320.

 

Division of First 5 Multiples of 26:


While we perform division, we get to know how many times 26 can fit into each of the given multiples. 26, 52, 78, 104, and 130 are the first 5 multiples of 26.


26 ÷ 26 = 1
52 ÷ 26 = 2
78 ÷ 26 = 3
104 ÷ 26 = 4
130 ÷ 26 = 5  

 
The results of dividing the first 5 multiples of 26 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 26

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Multiples of 26 Examples

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Problem 1

A group of artists is painting a mural on a wall. Each artist can paint a section of 26 square meters per day. If there are 3 artists working together, how many square meters of the mural will be completed after 5 days?

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Explanation

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Problem 2

In a factory, machines produce widgets in batches of 26. If the production schedule is to run the machines for the first five multiples of 26, how many widgets will be produced?

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Explanation

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Problem 3

A library organizes its books in rows, with each row containing 26 books. If there are 7 rows filled, how many books are there in total?

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Explanation

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Problem 4

An amusement park sells tickets in bundles, with each bundle containing 26 tickets. If a group of friends buys 4 bundles, how many tickets do they have altogether?

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Explanation

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Problem 5

During a fundraising event, 26 people join every hour. If the event lasts for 6 hours, how many people in total have joined by the end of the event?

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Explanation

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FAQs on Multiples of 26

1.How do you find the multiples of 26?

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2.What is the LCM of 7 and 26?

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3.What are the real-life applications of Multiples of 26?

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4.Are multiples of 26 finite or infinite?

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5.Is there any odd multiples of 26?

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Important Glossaries for Multiples of 26

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 26 include 26, 52, 78, 104, etc. 
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 26 are the numbers that consist of the number pattern of 26. 
     
  • 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 26 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 13, and 26 are the divisors of 26. 
     
  • LCM (Least Common Multiple): The smallest multiple that is exactly divisible by every number in a given set. For example, the LCM of 7 and 26 is 182.
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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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