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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 25, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 25 evenly are known as factors of 25.
A factor of 25 is a number that divides the number without remainder.
The factors of 25 are 1, 5, and 25.
Negative factors of 25: -1, -5, and -25.
Prime factors of 25: 5.
Prime factorization of 25: 5².
The sum of factors of 25: 1 + 5 + 25 = 31
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 25. Identifying the numbers which are multiplied to get the number 25 is the multiplication method.
Step 1: Multiply 25 by 1, 25 × 1 = 25.
Step 2: Check for other numbers that give 25 after multiplying 5 × 5 = 25.
Therefore, the positive factor pairs of 25 are: (1, 25) and (5, 5). For every positive factor, there is a negative factor.
Dividing the given numbers with the 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 the simple division method
Step 1: Divide 25 by 1, 25 ÷ 1 = 25.
Step 2: Continue dividing 25 by the numbers until the remainder becomes 0.
25 ÷ 1 = 25
25 ÷ 5 = 5
Therefore, the factors of 25 are: 1, 5, and 25.
The factors can be found by dividing with prime numbers.
We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 25 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factor of 25 is 5.
The prime factorization of 25 is: 5².
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 25 is divided by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 25 is: 5².
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 25: (1, 25) and (5, 5).
Negative factor pairs of 25: (-1, -25) and (-5, -5).
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 is a garden with 25 flowers, and you want to plant them in rows with an equal number of flowers in each row. If you want each row to have the same number of flowers, how many different ways can you arrange them?
You can arrange the flowers in 3 different ways:
1 row of 25 flowers, 5 rows of 5 flowers, or 25 rows of 1 flower each.
To find the number of different ways to arrange the flowers, we need to consider the factor pairs of 25.
The factor pairs are (1, 25) and (5, 5).
You have a rope that is 25 meters long. You want to cut it into equal pieces with no rope left over. What are the different lengths you can cut the rope into?
You can cut the rope into lengths of 1 meter, 5 meters, or 25 meters.
To find the different lengths, we use the factors of 25.
The factors are 1, 5, and 25.
A teacher has 25 pencils and wants to distribute them equally among 5 students. How many pencils will each student receive?
Each student will receive 5 pencils.
To distribute the pencils equally, divide the total pencils by the number of students.
25/5 = 5
There are 25 chairs that need to be arranged in rows. If each row must have the same number of chairs and you want at least 5 rows, how many chairs will be in each row?
There will be 5 chairs in each row.
To find the number of chairs per row, divide the total number of chairs by the number of rows.
25/5 = 5
You want to divide 25 apples equally among your family of 5 people. How many apples does each person get?
Each person gets 5 apples.
To divide the apples equally, divide the total apples by the number of people.
25/5 = 5
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.