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Last updated on May 26th, 2025

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Factors of 6300

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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 items equally, arranging things, etc. In this topic, we will learn about the factors of 6300, how they are used in real life, and the tips to learn them quickly.

Factors of 6300 for Indonesian Students
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What are the Factors of 6300?

The numbers that divide 6300 evenly are known as factors of 6300.

 

A factor of 6300 is a number that divides the number without remainder.

 

The factors of 6300 include numbers like 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, and 6300.

 

Negative factors of 6300: Corresponding negative values such as -1, -2, -3, -4, -5, -6, -7, -9, -10, -12, -14, -15, -18, -20, -21, -25, -28, -30, -35, -36, -42, -45, -50, -60, -63, -70, -75, -84, -90, -100, -105, -126, -140, -150, -175, -180, -210, -252, -300, -315, -350, -420, -450, -525, -630, -700, -900, -1050, -1260, -1575, -2100, -3150, and -6300.

 

Prime factors of 6300: 2, 3, 5, and 7.

 

Prime factorization of 6300: 2² × 3² × 5² × 7.

 

The sum of factors of 6300 is a larger number that can be calculated by adding all of the factors listed above.

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How to Find Factors of 6300?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  • Finding factors using multiplication
     
  • Finding factors using the 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 6300. Identifying the numbers which are multiplied to get the number 6300 is the multiplication method.

 

Step 1: Multiply 6300 by 1, 6300 × 1 = 6300.

 

Step 2: Check for other numbers that give 6300 after multiplying. Here are some examples:

 

2 × 3150 = 6300

3 × 2100 = 6300

5 × 1260 = 6300

6 × 1050 = 6300

7 × 900 = 6300

 

Therefore, the positive factor pairs of 6300 are: (1, 6300), (2, 3150), (3, 2100), (5, 1260), (6, 1050), (7, 900), and many more.

 

For every positive factor, there is a negative factor.

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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 the simple division method

 

Step 1: Divide 6300 by 1, 6300 ÷ 1 = 6300.

 

Step 2: Continue dividing 6300 by numbers until the remainder becomes 0. Examples include:

 

6300 ÷ 1 = 6300

6300 ÷ 2 = 3150

6300 ÷ 3 = 2100

6300 ÷ 5 = 1260

6300 ÷ 6 = 1050

6300 ÷ 7 = 900

 

Therefore, the factors of 6300 include: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300.

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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 6300 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

 

6300 ÷ 2 = 3150

3150 ÷ 2 = 1575

1575 ÷ 3 = 525

525 ÷ 3 = 175

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

 

The prime factors of 6300 are 2, 3, 5, and 7.

 

The prime factorization of 6300 is: 2² × 3² × 5² × 7.

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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, 6300 is divided by 2 to get 3150.

 

Step 2: Now divide 3150 by 2 to get 1575.

 

Step 3: Then divide 1575 by 3 to get 525.

 

Step 4: Divide 525 by 3 to get 175.

 

Step 5: Divide 175 by 5 to get 35.

 

Step 6: Divide 35 by 5 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 6300 is: 2² × 3² × 5² × 7.

 

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 6300 include: (1, 6300), (2, 3150), (3, 2100), (5, 1260), (6, 1050), (7, 900), etc.

 

Negative factor pairs of 6300 include: (-1, -6300), (-2, -3150), (-3, -2100), (-5, -1260), (-6, -1050), (-7, -900), etc.

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Common Mistakes and How to Avoid Them in Factors of 6300

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 6300, 1 and 6300 are also factors.

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Factors of 6300 Examples

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Problem 1

A party planner needs to arrange 6300 chairs in equal rows for an event. If each row can have 90 chairs, how many rows will there be?

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There will be 70 rows.

Explanation

To find the number of rows, divide the total number of chairs by the number of chairs per row.

 

6300/90 = 70

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Problem 2

A warehouse has 6300 boxes to be packed into crates. If each crate can hold 150 boxes, how many crates are needed?

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42 crates are needed.

Explanation

To determine the number of crates, divide the total boxes by the capacity of each crate.

 

6300/150 = 42

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Problem 3

A company has 6300 tasks to be completed by 35 teams. How many tasks will each team handle?

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Each team will handle 180 tasks.

Explanation

To find the tasks assigned to each team, divide the total tasks by the number of teams.

 

6300/35 = 180

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Problem 4

A factory produces 6300 units of a product using 25 machines. How many units does each machine produce?

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Each machine produces 252 units.

Explanation

Divide the total units by the number of machines to find the production per machine.

 

6300/25 = 252

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Problem 5

6300 liters of water need to be distributed equally into 210 containers. How much water will each container hold?

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Each container will hold 30 liters.

Explanation

Divide the total liters of water by the number of containers.

 

6300/210 = 30

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FAQs on Factors of 6300

1.What are the factors of 6300?

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2.Mention the prime factors of 6300.

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3.Is 6300 a multiple of 5?

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4.Mention the factor pairs of 6300?

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5.What is the square of 6300?

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6.How can children in Indonesia use numbers in everyday life to understand Factors of 6300?

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7.What are some fun ways kids in Indonesia can practice Factors of 6300 with numbers?

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8.What role do numbers and Factors of 6300 play in helping children in Indonesia develop problem-solving skills?

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9.How can families in Indonesia create number-rich environments to improve Factors of 6300 skills?

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Important Glossaries for Factor of 6300

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 6300 include 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, etc.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 7 are prime factors of 6300.
     
  • 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 6300 include (1, 6300), (2, 3150), etc.
     
  • Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 6300 is 2² × 3² × 5² × 7.
     
  • Multiplication method: A method to find factor pairs by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in Indonesia

At BrightChamps, numbers are more than just digits—they’re gateways to many opportunities! We strive to help children across Indonesia master vital math skills, focusing today on Factors of 6300 with special attention to factors—in a fun, clear, and engaging way. Whether your child is calculating the speed of a ride at Dunia Fantasi, tracking scores at badminton matches, or managing their allowance for gadgets, solid number skills give them confidence in daily life. Our hands-on lessons make learning both fun and straightforward. Since kids in Indonesia learn in varied ways, we adapt our teaching to each child’s needs. From Jakarta’s busy streets to Bali’s beautiful beaches, BrightChamps brings math to life throughout Indonesia. Let’s make factors an enjoyable part of every child’s math adventure!
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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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Fun Fact

: She loves to read number jokes and games.

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