Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers.
We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 13 students and 26 apples. How will they divide them equally?
They will get 2 apples each.
To divide the apples equally, we need to divide the total apples with the number of students.
26/13 = 2
A rectangular garden has a length of 2 meters and a total area of 26 square meters. Find the width.
13 meters.
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.
There are 2 boxes and 26 candies. How many candies will be in each box?
Each box will have 13 candies.
To find the candies in each box, divide the total candies with the boxes.
26/2 = 13
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.
Dividing the students with the total teams, we will get the number of students in each team.
26/2 = 13
26 chairs need to be arranged in 2 rows. How many chairs will be in each row?
Each of the rows has 13 chairs.
Divide total chairs with rows.
26/2 = 13
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.
: She loves to read number jokes and games.