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 -25, how they are used in real life, and 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).
All these factor pairs result in 25. For every positive factor, there is a negative factor.
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in 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, 25.
Thus, the factors of -25 include -1, -5, -25.
The factors can be found by dividing it with a prime number. 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.
Step 2: Now divide 5 by 5 to get 1. Here, 5 is the prime number that cannot be divided anymore.
So, the prime factorization of 25 is: (52).
Factor Pairs: 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 are 5 friends and 25 apples. How will they divide them equally?
They will get 5 apples each.
To divide the apples equally, we need to divide the total apples by the number of friends.
25/5 = 5
A garden is square-shaped, and the total area is 25 square meters. What is the length of each side?
5 meters.
For a square, the area is calculated as: Area = side × side
25 = side × side
To find the side length, we find the square root of 25.
The side = 5.
There are 25 chairs to be arranged in 5 rows. How many chairs will be in each row?
Each row will have 5 chairs.
To find the number of chairs in each row, divide the total chairs by the number of rows.
25/5 = 5
In a contest, there are 25 participants and 5 teams. How many participants are there in each team?
There are 5 participants in each team.
Dividing the participants by the total teams, we will get the number of participants in each team.
25/5 = 5
A school has 25 students and 5 classrooms. How many students will be in each classroom?
Each classroom will have 5 students.
Divide total students by the number of classrooms.
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.