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Last updated on May 26th, 2025

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Factors of 813

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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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 813, how they are used in real life, and the tips to learn them quickly.

Factors of 813 for Qatari Students
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What are the Factors of 813?

The numbers that divide 813 evenly are known as factors of 813.

 

A factor of 813 is a number that divides the number without remainder.

 

The factors of 813 are 1, 3, 271, and 813.

 

Negative factors of 813: -1, -3, -271, -813.

 

Prime factors of 813: 3 and 271.

 

Prime factorization of 813: 3 × 271.

 

The sum of factors of 813: 1 + 3 + 271 + 813 = 1088

 

factors of 813

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How to Find Factors of 813?

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 813. Identifying the numbers which are multiplied to get the number 813 is the multiplication method.

 

Step 1: Multiply 813 by 1, 813 × 1 = 813.

 

Step 2: Check for other numbers that give 813 after multiplying

3 × 271 = 813

 

Therefore, the positive factor pairs of 813 are: (1, 813), (3, 271).

 

All these factor pairs result in 813.

 

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 simple division method

 

Step 1: Divide 813 by 1, 813 ÷ 1 = 813.

 

Step 2: Continue dividing 813 by the numbers until the remainder becomes 0.

813 ÷ 1 = 813

813 ÷ 3 = 271

 

Therefore, the factors of 813 are: 1, 3, 271, 813.

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

813 ÷ 3 = 271

 

271 is a prime number and cannot be divided further.

 

The prime factors of 813 are 3 and 271.

 

The prime factorization of 813 is: 3 × 271.

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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, 813 is divided by 3 to get 271.

 

Step 2: Here, 271 is a prime number, that cannot be divided anymore. So, the prime factorization of 813 is: 3 × 271.

 

Factor Pairs: Two numbers that are multiplied to give a specific number are called as factor pairs. Both positive and negative factors constitute factor pairs.

 

Positive factor pairs of 813: (1, 813), (3, 271).

 

Negative factor pairs of 813: (-1, -813), (-3, -271).

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Common Mistakes and How to Avoid Them in Factors of 813

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 813, 1 and 813 are also factors.

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Factors of 813 Examples

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Problem 1

There are 3 teams and 813 points. How will they divide the points equally?

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They will get 271 points each.

Explanation

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

813/3 = 271

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Problem 2

A library has 813 books and each shelf holds 1 book. How many shelves are needed?

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813 shelves.

Explanation

To find the number of shelves needed, divide the total books by the number of books per shelf.

813/1 = 813

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Problem 3

There are 3 gift bags and 813 candies. How many candies will be in each bag?

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Each bag will have 271 candies.

Explanation

To find the candies in each bag, divide the total candies by the number of bags.

813/3 = 271

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Problem 4

In a game, there are 813 players, and 3 groups. How many players are there in each group?

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There are 271 players in each group.

Explanation

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

813/3 = 271

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Problem 5

813 coins need to be distributed into 3 boxes. How many coins will go in each box?

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Each of the boxes has 271 coins.

Explanation

Divide total coins by boxes.

813/3 = 271

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FAQs on Factors of 813

1.What are the factors of 813?

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2.Mention the prime factors of 813.

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3.Is 813 a multiple of 3?

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4.Mention the factor pairs of 813?

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5.What is the cube of 813?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 813?

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7.What are some fun ways kids in Qatar can practice Factors of 813 with numbers?

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8.What role do numbers and Factors of 813 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve Factors of 813 skills?

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Important Glossaries for Factor of 813

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 813 are 1, 3, 271, and 813.

 

  • Prime factors: The factors which are prime numbers. For example, 3 and 271 are prime factors of 813.

 

  • 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 813 are (1, 813) and (3, 271).

 

  • Negative factors: Numbers that are the negatives of the positive factors. For example, -1, -3, -271, -813 are negative factors of 813.

 

  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 813 is 3 × 271.
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About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 813 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting part of every child’s math 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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: She loves to read number jokes and games.

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