120 LearnersLast updated on May 26th, 2025
Factors of -25
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.
What are the Factors of -25?
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
How to Find Factors of -25?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
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
- Using factor tree
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).
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of -25
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of -25, 1, and -25 are also factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of -25 consist of -1, -5, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 25/1.5 ≈ 16.67, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 25 are prime numbers. For example, 5 is the prime factor of 25, but it has other factors like 1, 25.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 25 as 52 and missing all the key factors.
Factors of -25 Examples
Problem 1
There are 5 friends and 25 apples. How will they divide them equally?
They will get 5 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of friends.
25/5 = 5
Problem 2
A garden is square-shaped, and the total area is 25 square meters. What is the length of each side?
5 meters.
Explanation
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.
Problem 3
There are 25 chairs to be arranged in 5 rows. How many chairs will be in each row?
Each row will have 5 chairs.
Explanation
To find the number of chairs in each row, divide the total chairs by the number of rows.
25/5 = 5
Problem 4
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.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
25/5 = 5
Problem 5
A school has 25 students and 5 classrooms. How many students will be in each classroom?
Each classroom will have 5 students.
Explanation
Divide total students by the number of classrooms.
25/5 = 5
FAQs on Factors of -25
1.What are the factors of -25?
2.Mention the prime factor of 25.
3.Is 25 a multiple of 5?
4.Mention the factor pairs of -25?
5.What is the square of 25?
6.How can children in United States use numbers in everyday life to understand Factors of -25?
7.What are some fun ways kids in United States can practice Factors of -25 with numbers?
8.What role do numbers and Factors of -25 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 -25 skills?
Important Glossaries for Factors of -25
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -25 are 1, 5, 25, -1, -5, -25.
- Prime factors: The factors which are prime numbers. For example, 5 is a prime factor of 25.
- 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 -25 are (1, 25), (-1, -25), etc.
- Multiplication method: A method used to find factors by determining the product pairs that result in the original number.
- Division method: A method to find factors by dividing the number with whole numbers to find those that result in a whole quotient.
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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.
