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Last updated on May 26th, 2025

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Factors of 6250

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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.

Factors of 6250 for Vietnamese Students
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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

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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
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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.

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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.

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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.

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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).

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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

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Forgetting the number itself and 1 is a factor

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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.

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Factors of 6250 Examples

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Problem 1

There are 5 bakers and 6250 cookies. How will they divide it equally?

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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

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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?

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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.

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Problem 3

There are 10 trucks and 6250 boxes. How many boxes will be in each truck?

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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

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Problem 4

In a company, there are 250 employees and 6250 tasks. How many tasks are there for each employee?

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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

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Problem 5

6250 apples need to be packed in 50 crates. How many apples will go in each crate?

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Each of the crates has 125 apples.

Explanation

Divide total apples by crates.

 

6250/50 = 125

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FAQs on Factors of 6250

1.What are the factors of 6250?

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2.Mention the prime factors of 6250.

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3.Is 6250 a multiple of 125?

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4.Mention the factor pairs of 6250?

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5.What is the square of 6250?

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6.How can children in Vietnam use numbers in everyday life to understand Factors of 6250?

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7.What are some fun ways kids in Vietnam can practice Factors of 6250 with numbers?

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8.What role do numbers and Factors of 6250 play in helping children in Vietnam develop problem-solving skills?

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9.How can families in Vietnam create number-rich environments to improve Factors of 6250 skills?

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Professor Greenline from BrightChamps

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

At BrightChamps, numbers are more than just figures—they unlock countless opportunities! Our mission is to guide children throughout Vietnam in mastering essential math skills, with today’s focus on Factors of 6250 and a special highlight on factors—in a way that’s fun, lively, and easy to understand. Whether your child is figuring out the speed of a roller coaster at Suoi Tien Theme Park, keeping score at a local football game, or managing their allowance to buy cool gadgets, strong number skills boost their everyday confidence. Our interactive lessons make learning simple and enjoyable. Since children in Vietnam learn in different styles, we personalize our approach to each child. From Ho Chi Minh City’s vibrant streets to the stunning views of Ha Long Bay, BrightChamps brings math to life across Vietnam. Let’s make factors an exciting part of every child’s learning journey!
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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.

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: She loves to read number jokes and games.

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