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Last updated on May 26th, 2025

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Factors of 807

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Factors are the numbers that divide any given number evenly without a 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 807, how they are used in real life, and tips to learn them quickly.

Factors of 807 for Indian Students
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What are the Factors of 807?

The numbers that divide 807 evenly are known as factors of 807.

 

A factor of 807 is a number that divides the number without remainder.

 

The factors of 807 are 1, 3, 269, and 807.

 

Negative factors of 807: -1, -3, -269, and -807.

 

Prime factors of 807: 3 and 269.

 

Prime factorization of 807: 3 × 269.

 

The sum of factors of 807: 1 + 3 + 269 + 807 = 1080

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How to Find Factors of 807?

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 807. Identifying the numbers which are multiplied to get the number 807 is the multiplication method.

 

Step 1: Multiply 807 by 1, 807 × 1 = 807.

 

Step 2: Check for other numbers that give 807 after multiplying

3 × 269 = 807

 

Therefore, the positive factor pairs of 807 are: (1, 807) and (3, 269).

 

All these factor pairs result in 807.

 

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 a simple division method

 

Step 1: Divide 807 by 1, 807 ÷ 1 = 807.

 

Step 2: Continue dividing 807 by the numbers until the remainder becomes 0.

807 ÷ 1 = 807

807 ÷ 3 = 269

 

Therefore, the factors of 807 are: 1, 3, 269, and 807.

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

807 ÷ 3 = 269

269 ÷ 269 = 1

 

The prime factors of 807 are 3 and 269.

 

The prime factorization of 807 is: 3 × 269.

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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, 807 is divided by 3 to get 269.

 

Step 2: 269 is a prime number and cannot be divided further. So, the prime factorization of 807 is: 3 × 269.

 

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 807: (1, 807) and (3, 269).

 

Negative factor pairs of 807: (-1, -807) and (-3, -269).

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Common Mistakes and How to Avoid Them in Factors of 807

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

 

For example, in factors of 807, 1 and 807 are also factors.

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Factors of 807 Examples

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Problem 1

A group of 3 friends wants to buy 807 apples. If they want to divide them equally, how many apples will each friend get?

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Each friend will get 269 apples.

Explanation

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

807/3 = 269

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Problem 2

A piece of land is to be divided into equal sections for 807 trees. If each section contains 1 tree, how many sections will there be?

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There will be 807 sections.

Explanation

To find the number of sections, we use the number of trees per section,

807/1 = 807

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Problem 3

A concert hall has 807 seats, and tickets are sold in groups of 3. How many groups are formed?

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269 groups are formed.

Explanation

To find the number of groups, divide the total seats by the group size.

807/3 = 269

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Problem 4

In a factory, 807 machines are placed in rows of 3. How many machines are there in each row?

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There are 269 machines in each row.

Explanation

Dividing the machines by the number of rows gives the number of machines per row.

807/3 = 269

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Problem 5

807 books need to be placed on 1 shelf. How many books will go on the shelf?

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All 807 books will go on the shelf.

Explanation

Since there is only one shelf, all books go on it.

807/1 = 807

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FAQs on Factors of 807

1.What are the factors of 807?

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2.Mention the prime factors of 807.

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3.Is 807 a multiple of 3?

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4.Mention the factor pairs of 807?

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5.What is the sum of the factors of 807?

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6.How can children in India use numbers in everyday life to understand Factors of 807?

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7.What are some fun ways kids in India can practice Factors of 807 with numbers?

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8.What role do numbers and Factors of 807 play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve Factors of 807 skills?

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Important Glossaries for Factor of 807

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 807 are 1, 3, 269, and 807.

 

  • Prime factors: The factors which are prime numbers. For example, 3 and 269 are prime factors of 807.

 

  • 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 807 are (1, 807) and (3, 269).

 

  • Prime factorization: Breaking down a number into its prime number factors. For example, 807 = 3 × 269.

 

  • Negative factors: Negative numbers that divide the original number without a remainder. For example, -1, -3, -269, and -807 are negative factors of 807.
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About BrightChamps in India

At BrightChamps, numbers mean more than just digits—they open pathways to endless opportunities! We’re here to help children all over India grasp crucial math skills, focusing on today’s Factors of 807 with a special look at factors—in a way that’s enjoyable, simple, and interactive. Whether your child is calculating the speed of a train passing by, following scores in a cricket match, or managing their pocket money for new gadgets, knowing numbers helps build their confidence in daily life. Our hands-on lessons keep learning fun and easy. Since kids in India learn in many ways, we customize lessons to fit each learner. From Mumbai’s lively markets to Delhi’s vibrant streets, BrightChamps makes math meaningful and exciting all across India. Let’s turn factors into 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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