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Last updated on May 26th, 2025

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Factors of 26

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Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 26, how they are used in real life, and tips to learn them quickly.

Factors of 26 for US Students
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What are the Factors of 26?

The numbers that divide 26 evenly are known as factors of 26.

 

A factor of 26 is a number that divides the number without remainder.

 

The factors of 26 are 1, 2, 13, and 26.

 

Negative factors of 26: -1, -2, -13, and -26.

 

Prime factors of 26: 2 and 13.

 

Prime factorization of 26: 2 × 13.

 

The sum of factors of 26: 1 + 2 + 13 + 26 = 42

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How to Find Factors of 26?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  • Finding factors using multiplication
     
  • Finding factors using the division method
     
  • Prime factors and Prime factorization
     
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 26.

 

Identifying the numbers which are multiplied to get the number 26 is the multiplication method.

 

Step 1: Multiply 26 by 1, 26 × 1 = 26.

 

Step 2: Check for other numbers that give 26 after multiplying 2 × 13 = 26.

 

Therefore, the positive factor pairs of 26 are: (1, 26) and (2, 13).

 

All these factor pairs result in 26. For every positive factor, there is a negative factor.

 

 

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Finding Factors Using Division Method

Dividing the given number with whole numbers until the remainder becomes zero, and listing out the numbers which result as whole numbers as factors.

 

Factors can be calculated by following simple division method.

 

Step 1: Divide 26 by 1, 26 ÷ 1 = 26.

 

Step 2: Continue dividing 26 by the numbers until the remainder becomes 0.

 

26 ÷ 1 = 26

 

26 ÷ 2 = 13

 

Therefore, the factors of 26 are: 1, 2, 13, 26.

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Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers.

 

We can find the prime factors using the following methods:

 

  • Using prime factorization
     
  • Using factor tree
     
  • Using Prime Factorization

 

Using Prime Factorization: In this process, prime factors of 26 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

26 ÷ 2 = 13

 

13 ÷ 13 = 1

 

The prime factors of 26 are 2 and 13.

 

The prime factorization of 26 is: 2 × 13.

 

 

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors.

 

The following step shows

 

Step 1: Firstly, 26 is divided by 2 to get 13.

 

Step 2: 13 is a prime number and cannot be divided further.

 

So, the prime factorization of 26 is: 2 × 13.

 

Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

 

Positive factor pairs of 26: (1, 26) and (2, 13).

 

Negative factor pairs of 26: (-1, -26) and (-2, -13).

 

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Common Mistakes and How to Avoid Them in Factors of 26

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Mistake 1

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Forgetting the number itself and 1 is a factor

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Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 26, 1 and 26 are also factors.

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Factors of 26 Examples

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Problem 1

There are 13 students and 26 apples. How will they divide them equally?

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They will get 2 apples each.

Explanation

To divide the apples equally, we need to divide the total apples with the number of students.

 

26/13 = 2

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Max, the Girl Character from BrightChamps

Problem 2

A rectangular garden has a length of 2 meters and a total area of 26 square meters. Find the width.

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13 meters.

Explanation

To find the width of the garden, we use the formula, Area = length × width

 

26 = 2 × width

 

To find the value of width, we need to shift 2 to the left side.

 

26/2 = width

 

Width = 13.

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Max, the Girl Character from BrightChamps

Problem 3

There are 2 boxes and 26 candies. How many candies will be in each box?

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Each box will have 13 candies.

Explanation

To find the candies in each box, divide the total candies with the boxes.

 

26/2 = 13

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Max, the Girl Character from BrightChamps

Problem 4

In a class, there are 26 students and 2 teams. How many students are there in each team?

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There are 13 students in each team.

Explanation

Dividing the students with the total teams, we will get the number of students in each team.

 

26/2 = 13

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Max, the Girl Character from BrightChamps

Problem 5

26 chairs need to be arranged in 2 rows. How many chairs will be in each row?

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Each of the rows has 13 chairs.

Explanation

Divide total chairs with rows.

 

26/2 = 13

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FAQs on Factors of 26

1.What are the factors of 26?

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2.Mention the prime factors of 26.

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3.Is 26 a multiple of 2?

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4.Mention the factor pairs of 26?

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5.What is the square of 26?

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6.How can children in United States use numbers in everyday life to understand Factors of 26?

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7.What are some fun ways kids in United States can practice Factors of 26 with numbers?

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8.What role do numbers and Factors of 26 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Factors of 26 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factor of 26

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 26 are 1, 2, 13, and 26.
     
  • Prime factors: The factors which are prime numbers. For example, 2 and 13 are prime factors of 26.
     
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 26 are (1, 26) and (2, 13).
     
  • Prime factorization: The expression of a number as the product of its prime factors. For 26, it is 2 × 13.
     
  • Negative factors: Factors which are negative numbers. For example, the negative factors of 26 are -1, -2, -13, and -26.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors of 26, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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