103 LearnersLast updated on May 26th, 2025
Factors of 2500
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 2500, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2500?
The numbers that divide 2500 evenly are known as factors of 2500.
A factor of 2500 is a number that divides the number without remainder.
The factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, and 2500.
Negative factors of 2500: -1, -2, -4, -5, -10, -20, -25, -50, -100, -125, -250, -500, -625, -1250, and -2500.
Prime factors of 2500: 2 and 5.
Prime factorization of 2500: 2² × 5⁴.
The sum of factors of 2500: 1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 + 125 + 250 + 500 + 625 + 1250 + 2500 = 7817
How to Find Factors of 2500?
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 2500. Identifying the numbers which are multiplied to get the number 2500 is the multiplication method.
Step 1: Multiply 2500 by 1, 2500 × 1 = 2500.
Step 2: Check for other numbers that give 2500 after multiplying
2 × 1250 = 2500
4 × 625 = 2500
5 × 500 = 2500
10 × 250 = 2500
20 × 125 = 2500
25 × 100 = 2500
50 × 50 = 2500
Therefore, the positive factor pairs of 2500 are: (1, 2500), (2, 1250), (4, 625), (5, 500), (10, 250), (20, 125), (25, 100), and (50, 50).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 a simple division method -
Step 1: Divide 2500 by 1, 2500 ÷ 1 = 2500.
Step 2: Continue dividing 2500 by the numbers until the remainder becomes 0.
2500 ÷ 1 = 2500
2500 ÷ 2 = 1250
2500 ÷ 4 = 625
2500 ÷ 5 = 500
2500 ÷ 10 = 250
2500 ÷ 20 = 125
2500 ÷ 25 = 100
2500 ÷ 50 = 50
Therefore, the factors of 2500 are: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 2500 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2500 ÷ 2 = 1250
1250 ÷ 2 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 2500 are 2 and 5.
The prime factorization of 2500 is: 2² × 5⁴.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2500 is divided by 2 to get 1250.
Step 2: Now divide 1250 by 2 to get 625.
Step 3: Then divide 625 by 5 to get 125.
Step 4: Divide 125 by 5 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 2500 is: 2² × 5⁴.
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 2500: (1, 2500), (2, 1250), (4, 625), (5, 500), (10, 250), (20, 125), (25, 100), and (50, 50).
Negative factor pairs of 2500: (-1, -2500), (-2, -1250), (-4, -625), (-5, -500), (-10, -250), (-20, -125), (-25, -100), and (-50, -50).
Common Mistakes and How to Avoid Them in Factors of 2500
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 2500, 1 and 2500 are also factors.
Factors of 2500 Examples
Problem 1
There are 5 teams and 2500 chocolate bars. How will they divide it equally?
They will get 500 chocolate bars each.
Explanation
To divide the chocolate bars equally, we need to divide the total number of chocolate bars by the number of teams.
2500/5 = 500
Problem 2
A rectangular garden has a length of 50 meters and a total area of 2500 square meters. Find the width.
50 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2500 = 50 × width
To find the value of the width, we need to shift 50 to the left side.
2500/50 = width
Width = 50.
Problem 3
There are 25 crates and 2500 apples. How many apples will be in each crate?
Each crate will have 100 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates.
2500/25 = 100
Problem 4
In a class, there are 2500 students, and 50 groups. How many students are there in each group?
There are 50 students in each group.
Explanation
Dividing the students by the total number of groups, we will get the number of students in each group.
2500/50 = 50
Problem 5
2500 books need to be arranged in 20 shelves. How many books will go on each shelf?
Each shelf has 125 books.
Explanation
Divide the total number of books by the number of shelves.
2500/20 = 125
FAQs on Factors of 2500
1.What are the factors of 2500?
2.Mention the prime factors of 2500.
3.Is 2500 a multiple of 5?
4.Mention the factor pairs of 2500?
5.What is the square root of 2500?
6.How can children in Philippines use numbers in everyday life to understand Factors of 2500?
7.What are some fun ways kids in Philippines can practice Factors of 2500 with numbers?
8.What role do numbers and Factors of 2500 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 2500 skills?
Important Glossaries for Factor of 2500
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, and 2500.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 2500.
- 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 2500 are (1, 2500), (2, 1250), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 2500 is 2² × 5⁴.
- Multiples: Numbers that can be divided by a given number without a remainder are called multiples. For example, 2500 is a multiple of 5.
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About BrightChamps in Philippines
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
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