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Last updated on May 26th, 2025

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Factors of 600

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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 600, how they are used in real life, and tips to learn them quickly.

Factors of 600 for Indonesian Students
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What are the Factors of 600?

The numbers that divide 600 evenly are known as factors of 600.

 

A factor of 600 is a number that divides the number without remainder.

 

The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, and 600.

 

Negative factors of 600: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -25, -30, -40, -50, -60, -75, -100, -120, -150, -200, -300, and -600.

 

Prime factors of 600: 2, 3, and 5.

 

Prime factorization of 600: 23 × 3 × 52.

 

The sum of factors of 600: 4032.

factors of 600

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How to Find Factors of 600?

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 600. Identifying the numbers which are multiplied to get the number 600 is the multiplication method.

 

Step 1: Multiply 600 by 1, 600 × 1 = 600.

 

Step 2: Check for other numbers that give 600 after multiplying

 

2 × 300 = 600

3 × 200 = 600

4 × 150 = 600

5 × 120 = 600

6 × 100 = 600

8 × 75 = 600

10 × 60 = 600

12 × 50 = 600

15 × 40 = 600

20 × 30 = 600

 

Therefore, the positive factor pairs of 600 are: (1, 600), (2, 300), (3, 200), (4, 150), (5, 120), (6, 100), (8, 75), (10, 60), (12, 50), (15, 40), (20, 30). For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers by 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 600 by 1, 600 ÷ 1 = 600.

 

Step 2: Continue dividing 600 by the numbers until the remainder becomes 0.

 

600 ÷ 1 = 600

600 ÷ 2 = 300

600 ÷ 3 = 200

600 ÷ 4 = 150

600 ÷ 5 = 120

600 ÷ 6 = 100

600 ÷ 8 = 75

600 ÷ 10 = 60

600 ÷ 12 = 50

600 ÷ 15 = 40

600 ÷ 20 = 30

 

Therefore, the factors of 600 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, and 600.

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

 

600 ÷ 2 = 300

300 ÷ 2 = 150

150 ÷ 2 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

 

The prime factors of 600 are 2, 3, and 5.

 

The prime factorization of 600 is: 2^3 × 3 × 5^2.

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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, 600 is divided by 2 to get 300.

 

Step 2: Now divide 300 by 2 to get 150.

 

Step 3: Then divide 150 by 2 to get 75.

 

Step 4: Divide 75 by 3 to get 25.

 

Step 5: Divide 25 by 5 to get 5.

 

Here, 5 is the smallest prime number that cannot be divided further.

 

So, the prime factorization of 600 is: 23 × 3 × 52.

 

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 600: (1, 600), (2, 300), (3, 200), (4, 150), (5, 120), (6, 100), (8, 75), (10, 60), (12, 50), (15, 40), (20, 30).

 

Negative factor pairs of 600: (-1, -600), (-2, -300), (-3, -200), (-4, -150), (-5, -120), (-6, -100), (-8, -75), (-10, -60), (-12, -50), (-15, -40), (-20, -30).

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Common Mistakes and How to Avoid Them in Factors of 600

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 factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 600, 1 and 600 are also factors.

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Factors of 600 Examples

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Problem 1

There are 12 friends and 600 candies. How will they divide it equally?

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They will get 50 candies each.

Explanation

To divide the candies equally, we need to divide the total candies by the number of friends.

 

600/12 = 50

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Problem 2

A field is rectangular, the length of the field is 25 meters and the total area is 600 square meters. Find the width?

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24 meters.

Explanation

To find the width of the field, we use the formula,

 

Area = length × width

 

600 = 25 × width

 

To find the value of the width, we need to shift 25 to the left side.

 

600/25 = width

 

Width = 24.

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Problem 3

There are 20 bags and 600 marbles. How many marbles will be in each bag?

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Each bag will have 30 marbles.

Explanation

To find the marbles in each bag, divide the total marbles by the bags.

 

600/20 = 30

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Problem 4

In a class, there are 600 students, and 15 groups. How many students are there in each group?

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There are 40 students in each group.

Explanation

Dividing the students by the total groups, we will get the number of students in each group.

 

600/15 = 40

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Problem 5

600 books need to be arranged in 24 shelves. How many books will go on each shelf?

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Each of the shelves has 25 books.

Explanation

Divide total books by shelves.

 

600/24 = 25

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FAQs on Factors of 600

1.What are the factors of 600?

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2.Mention the prime factors of 600.

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3.Is 600 a multiple of 4?

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4.Mention the factor pairs of 600?

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5.What is the square of 600?

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6.How can children in Indonesia use numbers in everyday life to understand Factors of 600?

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7.What are some fun ways kids in Indonesia can practice Factors of 600 with numbers?

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8.What role do numbers and Factors of 600 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 600 skills?

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Important Glossaries for Factor of 600

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, and 600.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 600.

 

  • 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 600 are (1, 600), (2, 300), etc.

 

  • Multiple: A multiple is a product of a number and an integer. For example, 600 is a multiple of 4.

 

  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 600 is 2^3 × 3 × 5^2.
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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 600 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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