BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon106 Learners

Last updated on March 29th, 2025

Math Whiteboard Illustration

Multiples of 26

Professor Greenline Explaining Math Concepts
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.

Professor Greenline from BrightChamps

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.

Professor Greenline from BrightChamps

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,...

Professor Greenline from BrightChamps

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.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Multiples of 26

While working with multiples of 26, 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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Confusing Multiples with Factors

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Sometimes, students get confused between the multiples and factors of 26. 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 26 refer to the products we get while multiplying 26 with other numbers. For example, multiples of 26 include 0, 26, 52, 78, 104, 130, 156, 182, 208, 234, 260….


The factors of 26 are 1, 2, 13, and 26. When 26 is divided by 1, 2, 13, and 26 the remainder will be zero. These are the factors of 26 meaning that these numbers can divide 26 without any remainder. 

 

Factors of 26:


26 ÷ 1 = 26
26 ÷ 2 = 13
26 ÷ 13 = 2
26 ÷ 26 = 1

Max from BrightChamps Saying "Hey"

Multiples of 26 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

390 square meters

Explanation

Each artist paints 26 square meters per day. With 3 artists, they paint 26 × 3 = 78 square meters per day together. Over 5 days, they will complete:

 

78 × 5 = 390

 

The mural will cover 390 square meters after 5 days.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

390 widgets

Explanation

First, identify the first five multiples of 26:

 

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

 

Add them up to find the total production:

 

26 + 52 + 78 + 104 + 130 = 390

 

A total of 390 widgets will be produced.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

182 books 

Explanation

Calculate the total number of books by multiplying the number of rows by the number of books in each row:

 

Number of rows = 7  
Number of books in each row = 26

 

7 × 26 = 182

 

There are 182 books in total.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

104 tickets

Explanation

 Multiply the number of bundles by the number of tickets per bundle to get the total number of tickets:

 

Number of bundles = 4  
Tickets per bundle = 26

 

4 × 26 = 104

 

The group of friends has 104 tickets altogether.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

156 people

Explanation

Multiply the number of people joining per hour by the total number of hours to find the total number of people:

 

Number of people per hour = 26  
Number of hours = 6  

 

26 × 6 = 156

 

By the end of the event, 156 people have joined.

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Multiples of 26

1.How do you find the multiples of 26?

Math FAQ Answers Dropdown Arrow

2.What is the LCM of 7 and 26?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

4.Are multiples of 26 finite or infinite?

Math FAQ Answers Dropdown Arrow

5.Is there any odd multiples of 26?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

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.
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

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

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom