115 LearnersLast updated on May 26th, 2025
Factors of 6250
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 6250, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 6250?
The numbers that divide 6250 evenly are known as factors of 6250.
A factor of 6250 is a number that divides the number without remainder.
The factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, and 6250.
Negative factors of 6250: -1, -2, -5, -10, -25, -50, -125, -250, -625, -1250, -3125, and -6250.
Prime factors of 6250: 2 and 5.
Prime factorization of 6250: 2 × 54.
The sum of factors of 6250: 1 + 2 + 5 + 10 + 25 + 50 + 125 + 250 + 625 + 1250 + 3125 + 6250 = 11718
How to Find Factors of 6250?
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 6250. Identifying the numbers which are multiplied to get the number 6250 is the multiplication method.
Step 1: Multiply 6250 by 1, 6250 × 1 = 6250.
Step 2: Check for other numbers that give 6250 after multiplying
2 × 3125 = 6250
5 × 1250 = 6250
10 × 625 = 6250
25 × 250 = 6250
50 × 125 = 6250
Therefore, the positive factor pairs of 6250 are: (1, 6250), (2, 3125), (5, 1250), (10, 625), (25, 250), (50, 125).
All these factor pairs result in 6250.
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 the simple division method
Step 1: Divide 6250 by 1, 6250 ÷ 1 = 6250.
Step 2: Continue dividing 6250 by the numbers until the remainder becomes 0.
6250 ÷ 1 = 6250
6250 ÷ 2 = 3125
6250 ÷ 5 = 1250
6250 ÷ 10 = 625
6250 ÷ 25 = 250
6250 ÷ 50 = 125
Therefore, the factors of 6250 are: 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250.
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 6250 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
6250 ÷ 2 = 3125
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 6250 are 2 and 5.
The prime factorization of 6250 is: 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, 6250 is divided by 2 to get 3125.
Step 2: Now divide 3125 by 5 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 6250 is: 2 × 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 6250: (1, 6250), (2, 3125), (5, 1250), (10, 625), (25, 250), and (50, 125).
Negative factor pairs of 6250: (-1, -6250), (-2, -3125), (-5, -1250), (-10, -625), (-25, -250), and (-50, -125).
Common Mistakes and How to Avoid Them in Factors of 6250
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 6250, 1 and 6250 is also a factor.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of 6250 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 6250/1.5 = 4166.67, 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 6250 are prime numbers.
For example, 2 and 5 are the prime factors of 6250, but it has other factors like 10 and 250.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, Not breaking 6250 as 2 × 54 and missing all the key factors.
Factors of 6250 Examples
Problem 1
There are 5 bakers and 6250 cookies. How will they divide it equally?
They will get 1250 cookies each.
Explanation
To divide the cookies equally, we need to divide the total cookies by the number of bakers.
6250/5 = 1250
Problem 2
A garden is rectangular, the length of the garden is 25 meters and the total area is 6250 square meters. Find the width?
250 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
6250 = 25 × width
To find the value of width, we need to shift 25 to the left side.
6250/25 = width
Width = 250.
Problem 3
There are 10 trucks and 6250 boxes. How many boxes will be in each truck?
Each truck will have 625 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the number of trucks.
6250/10 = 625
Problem 4
In a company, there are 250 employees and 6250 tasks. How many tasks are there for each employee?
There are 25 tasks for each employee.
Explanation
Dividing the tasks by the total employees, we will get the number of tasks for each employee.
6250/250 = 25
Problem 5
6250 apples need to be packed in 50 crates. How many apples will go in each crate?
Each of the crates has 125 apples.
Explanation
Divide total apples by crates.
6250/50 = 125
FAQs on Factors of 6250
1.What are the factors of 6250?
2.Mention the prime factors of 6250.
3.Is 6250 a multiple of 125?
4.Mention the factor pairs of 6250?
5.What is the square of 6250?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 6250?
7.What are some fun ways kids in Vietnam can practice Factors of 6250 with numbers?
8.What role do numbers and Factors of 6250 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 6250 skills?
Important Glossaries for Factors of 6250
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 6250 are 1, 2, 5, 10, 25, etc.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 6250.
- 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 6250 are (1, 6250), (2, 3125), etc.
- Prime factorization: Breaking down a composite number into a product of prime numbers. For instance, the prime factorization of 6250 is 2 × 54.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number, like 2 × 3125 = 6250.
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About BrightChamps in Vietnam
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.
