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Last updated on May 28th, 2025

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Factors of 1307

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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 1307, how they are used in real life, and the tips to learn them quickly.

Factors of 1307 for Filipino Students
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What are the Factors of 1307?

The numbers that divide 1307 evenly are known as factors of 1307.

 

A factor of 1307 is a number that divides the number without remainder.

 

The factors of 1307 are 1, 19, 67, and 1307.

 

Negative factors of 1307: -1, -19, -67, and -1307.

 

Prime factors of 1307: 19 and 67.

 

Prime factorization of 1307: 19 × 67.

 

The sum of factors of 1307: 1 + 19 + 67 + 1307 = 1394

factors of 1307

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How to Find Factors of 1307?

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 1307. Identifying the numbers which are multiplied to get the number 1307 is the multiplication method.

 

Step 1: Multiply 1307 by 1, 1307 × 1 = 1307.

 

Step 2: Check for other numbers that give 1307 after multiplying

 

19 × 67 = 1307

 

Therefore, the positive factor pairs of 1307 are: (1, 1307) and (19, 67).

 

All these factor pairs result in 1307.

 

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 1307 by 1, 1307 ÷ 1 = 1307.

 

Step 2: Continue dividing 1307 by the numbers until the remainder becomes 0.

 

1307 ÷ 1 = 1307

1307 ÷ 19 = 67

 

Therefore, the factors of 1307 are: 1, 19, 67, 1307.

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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 1307 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

1307 ÷ 19 = 67

67 ÷ 67 = 1

 

The prime factors of 1307 are 19 and 67.

 

The prime factorization of 1307 is: 19 × 67.

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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, 1307 is divided by 19 to get 67.

 

Step 2: Now divide 67 by 67 to get 1.

Here, 67 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 1307 is: 19 × 67.

 

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 1307: (1, 1307) and (19, 67).

 

Negative factor pairs of 1307: (-1, -1307) and (-19, -67).

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Common Mistakes and How to Avoid Them in Factors of 1307

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 word. Always remember to include 1 and the number itself.

 

For example, in factors of 1307, 1 and 1307 are also factors.

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Factors of 1307 Examples

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Problem 1

There are 19 teams in a tournament and 1307 players. How will they distribute players equally among the teams?

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Each team will have 67 players.

Explanation

To distribute the players equally, we need to divide the total players by the number of teams.

 

1307/19 = 67

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Problem 2

A rectangular garden has a width of 19 meters and a total area of 1307 square meters. Find the length.

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The length is 67 meters.

Explanation

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

 

Area = length × width

 

1307 = length × 19

 

To find the value of length, we need to shift 19 to the left side.

 

1307/19 = length

 

Length = 67.

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Problem 3

A library has 1307 books and 67 sections. How many books will be in each section?

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Each section will have 19 books.

Explanation

To find the books in each section, divide the total books by the sections.

 

1307/67 = 19

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Problem 4

In a workshop, there are 1307 tools, and 19 boxes. How many tools are there in each box?

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There are 67 tools in each box.

Explanation

Dividing the tools by the total boxes, we will get the number of tools in each box.

 

1307/19 = 67

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Problem 5

1307 apples need to be packed in 67 crates. How many apples will go into each crate?

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Each crate will have 19 apples.

Explanation

Divide the total apples by the crates.

 

1307/67 = 19

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FAQs on Factors of 1307

1.What are the factors of 1307?

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2.Mention the prime factors of 1307.

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3.Is 1307 a multiple of 19?

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4.Mention the factor pairs of 1307?

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5.What is the square of 1307?

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6.How can children in Philippines use numbers in everyday life to understand Factors of 1307?

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7.What are some fun ways kids in Philippines can practice Factors of 1307 with numbers?

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8.What role do numbers and Factors of 1307 play in helping children in Philippines develop problem-solving skills?

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9.How can families in Philippines create number-rich environments to improve Factors of 1307 skills?

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Important Glossaries for Factor of 1307

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1307 are 1, 19, 67, and 1307.

     
  • Prime factors: The factors which are prime numbers. For example, 19 and 67 are prime factors of 1307.

     
  • 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 1307 are (1, 1307) and (19, 67).

     
  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1307 is 19 × 67.

     
  • Multiples: A number is a multiple of its factors. For example, 1307 is a multiple of 19 and 67.
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About BrightChamps in Philippines

At BrightChamps, numbers are more than just digits—they open doors to countless opportunities! Our goal is to help kids across the Philippines build essential math skills, with today’s focus on Factors of 1307 highlighting factors—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Enchanted Kingdom, tracking basketball scores, or managing their allowance to buy gadgets, strong number skills give them confidence for everyday tasks. Our hands-on lessons make learning simple and enjoyable. Since kids in the Philippines learn in different ways, we customize our approach to each child. From Manila’s busy streets to Palawan’s beautiful islands, BrightChamps brings math to life across the Philippines. Let’s make factors a fun part of every child’s math story!
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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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