117 LearnersLast updated on May 26th, 2025
Factors of 26
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.
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
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
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.
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.
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.
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).
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
Forgetting the number itself and 1 is a factor
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.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 26 include -1, -2, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 26/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 26 are prime numbers.
For example, 2 and 13 are the prime factors of 26, but it has other factors like 1 and 26.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not breaking 26 as 2 × 13 and missing all the key factors.
Factors of 26 Examples
Problem 1
There are 13 students and 26 apples. How will they divide them equally?
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
Problem 2
A rectangular garden has a length of 2 meters and a total area of 26 square meters. Find the width.
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.
Problem 3
There are 2 boxes and 26 candies. How many candies will be in each box?
Each box will have 13 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
26/2 = 13
Problem 4
In a class, there are 26 students and 2 teams. How many students are there in each team?
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
Problem 5
26 chairs need to be arranged in 2 rows. How many chairs will be in each row?
Each of the rows has 13 chairs.
Explanation
Divide total chairs with rows.
26/2 = 13
FAQs on Factors of 26
1.What are the factors of 26?
2.Mention the prime factors of 26.
3.Is 26 a multiple of 2?
4.Mention the factor pairs of 26?
5.What is the square of 26?
6.How can children in United States use numbers in everyday life to understand Factors of 26?
7.What are some fun ways kids in United States can practice Factors of 26 with numbers?
8.What role do numbers and Factors of 26 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 26 skills?
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.
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About BrightChamps in United States
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.
Fun Fact
: She loves to read number jokes and games.
