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Last updated on May 28th, 2025

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Factors of 1308

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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 1308, how they are used in real life, and tips to learn them quickly.

Factors of 1308 for Thai Students
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What are the Factors of 1308?

The numbers that divide 1308 evenly are known as factors of 1308.

 

A factor of 1308 is a number that divides the number without remainder.

 

The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, and 1308.

 

Negative factors of 1308: -1, -2, -3, -4, -6, -12, -109, -218, -327, -436, -654, and -1308.

 

Prime factors of 1308: 2, 3, and 109.

 

Prime factorization of 1308: 2² × 3 × 109.

 

The sum of factors of 1308: 1 + 2 + 3 + 4 + 6 + 12 + 109 + 218 + 327 + 436 + 654 + 1308 = 3080

factors of 1308

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How to Find Factors of 1308?

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 1308. Identifying the numbers which are multiplied to get the number 1308 is the multiplication method.

 

Step 1: Multiply 1308 by 1, 1308 × 1 = 1308.

 

Step 2: Check for other numbers that give 1308 after multiplying

 

2 × 654 = 1308

3 × 436 = 1308

4 × 327 = 1308

6 × 218 = 1308

12 × 109 = 1308

 

Therefore, the positive factor pairs of 1308 are: (1, 1308), (2, 654), (3, 436), (4, 327), (6, 218), (12, 109).

 

All these factor pairs result in 1308.

 

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 a simple division method -

 

Step 1: Divide 1308 by 1, 1308 ÷ 1 = 1308.

 

Step 2: Continue dividing 1308 by the numbers until the remainder becomes 0.

 

1308 ÷ 1 = 1308

1308 ÷ 2 = 654

1308 ÷ 3 = 436

1308 ÷ 4 = 327

1308 ÷ 6 = 218

1308 ÷ 12 = 109

 

Therefore, the factors of 1308 are: 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308.

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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 1308 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

1308 ÷ 2 = 654

654 ÷ 2 = 327

327 ÷ 3 = 109

109 ÷ 109 = 1

 

The prime factors of 1308 are 2, 3, and 109.

 

The prime factorization of 1308 is: 2² × 3 × 109.

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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, 1308 is divided by 2 to get 654.

 

Step 2: Now divide 654 by 2 to get 327.

 

Step 3: Then divide 327 by 3 to get 109.

Here, 109 is a prime number that cannot be divided anymore.

So, the prime factorization of 1308 is: 2² × 3 × 109.

 

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 1308: (1, 1308), (2, 654), (3, 436), (4, 327), (6, 218), and (12, 109).

 

Negative factor pairs of 1308: (-1, -1308), (-2, -654), (-3, -436), (-4, -327), (-6, -218), and (-12, -109).

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Common Mistakes and How to Avoid Them in Factors of 1308

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 1308, 1 and 1308 are also factors.

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Factors of 1308 Examples

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Problem 1

A farmer has 1308 apples and wants to distribute them equally in 6 baskets. How many apples will go in each basket?

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Each basket will have 218 apples.

Explanation

To divide the apples equally, we need to divide the total apples by the number of baskets.

 

1308/6 = 218

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Problem 2

A rectangular garden has a length of 109 meters and a total area of 1308 square meters. What is the width of the garden?

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12 meters.

Explanation

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

 

Area = length × width

 

1308 = 109 × width

 

To find the value of width, we need to shift 109 to the left side.

 

1308/109 = width

 

Width = 12.

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Problem 3

There are 3 teams and 1308 tennis balls. How many balls will each team get?

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Each team will get 436 balls.

Explanation

To find the balls for each team, divide the total balls by the number of teams.

 

1308/3 = 436

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Problem 4

In a conference, there are 1308 attendees and 109 tables. How many attendees will be seated at each table?

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Each table will have 12 attendees.

Explanation

Dividing the attendees by the total tables, we will get the number of attendees at each table.

 

1308/109 = 12

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Problem 5

1308 books need to be arranged on 12 shelves. How many books will go on each shelf?

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Each shelf will have 109 books.

Explanation

Divide total books by the number of shelves.

 

1308/12 = 109

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FAQs on Factors of 1308

1.What are the factors of 1308?

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2.Mention the prime factors of 1308.

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3.Is 1308 a multiple of 3?

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4.Mention the factor pairs of 1308?

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5.What is the square of 1308?

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6.How can children in Thailand use numbers in everyday life to understand Factors of 1308?

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7.What are some fun ways kids in Thailand can practice Factors of 1308 with numbers?

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8.What role do numbers and Factors of 1308 play in helping children in Thailand develop problem-solving skills?

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9.How can families in Thailand create number-rich environments to improve Factors of 1308 skills?

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Important Glossaries for Factor of 1308

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, and 1308.

     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 109 are prime factors of 1308.

     
  • 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 1308 are (1, 1308), (2, 654), etc.

     
  • Negative factors: Factors that are negative counterparts of the positive factors. For example, -1, -2, -3, etc., are negative factors of 1308.

     
  • Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1308 is 2² × 3 × 109.
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About BrightChamps in Thailand

At BrightChamps, numbers are more than just figures—they open doors to endless possibilities! We support children all across Thailand in developing key math skills, focusing today on Factors of 1308 with a special emphasis on factors—in an exciting, accessible, and fun way. Whether your child is figuring out the speed of a roller coaster at Dream World, keeping score at local football matches, or managing their allowance for the latest gadgets, knowing numbers builds their everyday confidence. Our interactive lessons make learning easy and enjoyable. Because kids in Thailand have unique learning styles, we tailor our approach to fit each child. From bustling Bangkok streets to the tropical islands of Phuket, BrightChamps makes math come alive all over Thailand. Let’s turn factors into a fun 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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Fun Fact

: She loves to read number jokes and games.

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