100 LearnersLast updated on May 26th, 2025
Factors of 12500
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 12500, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 12500?
The numbers that divide 12500 evenly are known as factors of 12500.
A factor of 12500 is a number that divides the number without remainder.
The factors of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, and 12500.
Negative factors of 12500: -1, -2, -4, -5, -10, -20, -25, -50, -100, -125, -250, -500, -625, -1250, -2500, -3125, -6250, and -12500.
Prime factors of 12500: 2 and 5.
Prime factorization of 12500: 2^2 × 5^4.
The sum of factors of 12500: 1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 + 125 + 250 + 500 + 625 + 1250 + 2500 + 3125 + 6250 + 12500 = 31251
How to Find Factors of 12500?
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 12500. Identifying the numbers which are multiplied to get the number 12500 is the multiplication method.
Step 1: Multiply 12500 by 1, 12500 × 1 = 12500.
Step 2: Check for other numbers that give 12500 after multiplying
2 × 6250 = 12500
4 × 3125 = 12500
5 × 2500 = 12500
10 × 1250 = 12500
20 × 625 = 12500
25 × 500 = 12500
50 × 250 = 12500
100 × 125 = 12500
Therefore, the positive factor pairs of 12500 are: (1, 12500), (2, 6250), (4, 3125), (5, 2500), (10, 1250), (20, 625), (25, 500), (50, 250), (100, 125).
All these factor pairs result in 12500.
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 12500 by 1, 12500 ÷ 1 = 12500.
Step 2: Continue dividing 12500 by the numbers until the remainder becomes 0.
12500 ÷ 1 = 12500
12500 ÷ 2 = 6250
12500 ÷ 4 = 3125
12500 ÷ 5 = 2500
12500 ÷ 10 = 1250
12500 ÷ 20 = 625
12500 ÷ 25 = 500
12500 ÷ 50 = 250
12500 ÷ 100 = 125
Therefore, the factors of 12500 are: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500.
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 12500 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
12500 ÷ 2 = 6250
6250 ÷ 2 = 3125
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 12500 are 2 and 5.
The prime factorization of 12500 is: 2^2 × 5^4.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 12500 is divided by 2 to get 6250.
Step 2: Now divide 6250 by 2 to get 3125.
Step 3: Then divide 3125 by 5 to get 625.
Step 4: Divide 625 by 5 to get 125.
Step 5: Divide 125 by 5 to get 25.
Step 6: Divide 25 by 5 to get 5.
Here, 5 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 12500 is: 2^2 × 5^4.
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 12500: (1, 12500), (2, 6250), (4, 3125), (5, 2500), (10, 1250), (20, 625), (25, 500), (50, 250), (100, 125).
Negative factor pairs of 12500: (-1, -12500), (-2, -6250), (-4, -3125), (-5, -2500), (-10, -1250), (-20, -625), (-25, -500), (-50, -250), (-100, -125).
Common Mistakes and How to Avoid Them in Factors of 12500
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 12500, 1 and 12500 are also factors.
Factors of 12500 Examples
Problem 1
There are 10 trucks and 12500 kilograms of cargo. How much cargo will each truck carry equally?
Each truck will carry 1250 kilograms of cargo.
Explanation
To distribute the cargo equally, we need to divide the total cargo by the number of trucks.
12500/10 = 1250
Problem 2
A rectangular plot has a length of 100 meters and a total area of 12500 square meters. Find the width.
125 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
12500 = 100 × width
To find the value of width, we need to divide 12500 by 100.
12500/100 = width
Width = 125.
Problem 3
There are 25 workers and 12500 bricks. How many bricks will each worker carry?
Each worker will carry 500 bricks.
Explanation
To find the number of bricks each worker will carry, divide the total bricks by the number of workers.
12500/25 = 500
Problem 4
A warehouse has 250 shelves and 12500 boxes. How many boxes will go on each shelf?
Each shelf will have 50 boxes.
Explanation
Divide the total boxes by the number of shelves.
12500/250 = 50
Problem 5
12500 apples need to be packed into 500 crates. How many apples will go in each crate?
Each crate will have 25 apples.
Explanation
Divide the total apples by the number of crates.
12500/500 = 25
FAQs on Factors of 12500
1.What are the factors of 12500?
2.Mention the prime factors of 12500.
3.Is 12500 a multiple of 50?
4.Mention the factor pairs of 12500?
5.What is the square of 12500?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 12500?
7.What are some fun ways kids in Bahrain can practice Factors of 12500 with numbers?
8.What role do numbers and Factors of 12500 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 12500 skills?
Important Glossaries for Factor of 12500
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, and 12500.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 12500.
- 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 12500 are (1, 12500), (2, 6250), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 12500 is 2^2 × 5^4.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 12500 is a multiple of 50.
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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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