101 LearnersLast updated on May 26th, 2025
Factors of 2025
Factors are the numbers that divide any given number evenly without a 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 2025, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2025?
The numbers that divide 2025 evenly are known as factors of 2025.
A factor of 2025 is a number that divides the number without a remainder.
The factors of 2025 are 1, 3, 5, 9, 15, 27, 45, 75, 135, 225, 405, 675, and 2025.
Negative factors of 2025: -1, -3, -5, -9, -15, -27, -45, -75, -135, -225, -405, -675, and -2025.
Prime factors of 2025: 3 and 5.
Prime factorization of 2025: 34 × 52.
The sum of factors of 2025: 1 + 3 + 5 + 9 + 15 + 27 + 45 + 75 + 135 + 225 + 405 + 675 + 2025 = 3645
How to Find Factors of 2025?
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 2025. Identifying the numbers which are multiplied to get the number 2025 is the multiplication method.
Step 1: Multiply 2025 by 1, 2025 × 1 = 2025.
Step 2: Check for other numbers that give 2025 after multiplying
3 × 675 = 2025
5 × 405 = 2025
9 × 225 = 2025
15 × 135 = 2025
27 × 75 = 2025
45 × 45 = 2025
Therefore, the positive factor pairs of 2025 are: (1, 2025), (3, 675), (5, 405), (9, 225), (15, 135), (27, 75), (45, 45).
All these factor pairs result in 2025.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 2025 by 1, 2025 ÷ 1 = 2025.
Step 2: Continue dividing 2025 by the numbers until the remainder becomes 0.
2025 ÷ 1 = 2025
2025 ÷ 3 = 675
2025 ÷ 5 = 405
2025 ÷ 9 = 225
2025 ÷ 15 = 135
2025 ÷ 27 = 75
2025 ÷ 45 = 45
Therefore, the factors of 2025 are: 1, 3, 5, 9, 15, 27, 45, 75, 135, 225, 405, 675, 2025.
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: In this process, prime factors of 2025 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2025 ÷ 3 = 675
675 ÷ 3 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 2025 are 3 and 5.
The prime factorization of 2025 is: 34 × 52.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 2025 is divided by 3 to get 675.
Step 2: Now divide 675 by 3 to get 225.
Step 3: Then divide 225 by 3 to get 75.
Step 4: Divide 75 by 3 to get 25.
Step 5: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2025 is: 34 × 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 2025: (1, 2025), (3, 675), (5, 405), (9, 225), (15, 135), (27, 75), and (45, 45).
Negative factor pairs of 2025: (-1, -2025), (-3, -675), (-5, -405), (-9, -225), (-15, -135), (-27, -75), and (-45, -45).
Common Mistakes and How to Avoid Them in Factors of 2025
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 2025, 1 and 2025 are also factors.
Factors of 2025 Examples
Problem 1
There are 27 students and 2025 apples. How will they distribute them equally?
They will get 75 apples each.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of students.
2025/27 = 75
Problem 2
A rectangular garden has a length of 45 meters and a total area of 2025 square meters. Find the width.
45 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2025 = 45 × width
To find the value of width, we need to shift 45 to the left side.
2025/45 = width
Width = 45.
Problem 3
There are 45 buckets and 2025 liters of water. How many liters will be in each bucket?
Each bucket will have 45 liters.
Explanation
To find the liters in each bucket, divide the total liters by the number of buckets.
2025/45 = 45
Problem 4
In a school, there are 75 students, and they need to organize into 15 groups. How many students are there in each group?
There are 5 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
75/15 = 5
Problem 5
2025 books need to be arranged in 405 shelves. How many books will go on each shelf?
Each of the shelves has 5 books.
Explanation
Divide total books by shelves.
2025/405 = 5
FAQs on Factors of 2025
1.What are the factors of 2025?
2.Mention the prime factors of 2025.
3.Is 2025, a multiple of 9?
4.Mention the factor pairs of 2025?
5.What is the square of 2025?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 2025?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 2025 with numbers?
8.What role do numbers and Factors of 2025 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 2025 skills?
Important Glossaries for Factors of 2025
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2025 are 1, 3, 5, 9, 15, etc.
- Prime factors: The factors which are prime numbers. For example, 3 and 5 are prime factors of 2025.
- 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 2025 are (1, 2025), (3, 675), etc.
- Multiplication method: A method to find factors by identifying pairs that multiply to give the original number.
- Division method: A method to find factors by dividing the number by integers until no remainder is left.
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About BrightChamps in United Arab Emirates
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.
