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Last updated on May 26th, 2025

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Factors of 797

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

Factors of 797 for Thai Students
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What are the Factors of 797?

The numbers that divide 797 evenly are known as factors of 797.

 

A factor of 797 is a number that divides the number without remainder.

 

The factors of 797 are 1 and 797.

 

Negative factors of 797: -1 and -797.

 

Prime factors of 797: 797 (since 797 is a prime number).

 

Prime factorization of 797: 797.

 

The sum of factors of 797: 1 + 797 = 798

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How to Find Factors of 797?

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 797. Identifying the numbers that are multiplied to get the number 797 is the multiplication method.

 

Step 1: Multiply 797 by 1, 797 × 1 = 797.

 

Since 797 is a prime number, there are no other numbers that give 797 when multiplied.

 

Therefore, the positive factor pairs of 797 are: (1, 797). 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 the simple division method

 

Step 1: Divide 797 by 1, 797 ÷ 1 = 797.

 

Step 2: Continue dividing 797 by other numbers until the remainder becomes 0. However, since 797 is a prime number, it can only be divided by 1 and itself without a remainder.

 

Therefore, the factors of 797 are: 1 and 797.

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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, since 797 is a prime number, it is already in its prime factorization form.

 

The prime factorization of 797 is: 797.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. However, since 797 is a prime number, it does not break down further. So, the prime factorization of 797 is: 797.

 

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 797: (1, 797).

 

Negative factor pairs of 797: (-1, -797).

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Common Mistakes and How to Avoid Them in Factors of 797

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 797, 1 and 797 is also a factor.

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Factors of 797 Examples

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Problem 1

There are 797 apples and 1 basket. How will they be placed?

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All 797 apples will be placed in one basket.

Explanation

Since there is only 1 basket, all apples go into it.

797/1 = 797

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Problem 2

A piece of land is shaped as a square, with each side measuring 797 meters. What is the perimeter of the land?

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The perimeter is 3188 meters.

Explanation

The perimeter of a square is calculated as 4 times the length of one side.

Perimeter = 4 × 797 = 3188

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Problem 3

There are 797 books that need to be distributed equally among students. If there is only one student, how many books will each student get?

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The student will get all 797 books.

Explanation

If there is only one student, dividing the books among them means they get all the books.

797/1 = 797

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Problem 4

A garden is circular with a circumference of 797 meters. If the garden is divided into 1 equal section, how long is each section?

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Each section is 797 meters.

Explanation

Since the garden is divided into 1 section, the length of the section is the entire circumference.

797/1 = 797

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Max, the Girl Character from BrightChamps

Problem 5

A marathon race is 797 meters long. If a runner completes the race in one lap, how many meters will they have run?

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The runner will have run 797 meters.

Explanation

Since the race is completed in one lap, the distance run is the length of the race.

797/1 = 797

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FAQs on Factors of 797

1.What are the factors of 797?

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2.Mention the prime factors of 797.

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3.Is 797 a multiple of 7?

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4.Mention the factor pairs of 797?

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5.What is the square of 797?

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6.How can children in Thailand use numbers in everyday life to understand Factors of 797?

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7.What are some fun ways kids in Thailand can practice Factors of 797 with numbers?

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8.What role do numbers and Factors of 797 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 797 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factor of 797

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 797 are 1 and 797.

 

  • Prime factors: The factors which are prime numbers. For example, 797 is a prime factor of itself.

 

  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 797 is (1, 797).

 

  • Prime number: A number that has no other factors except 1 and itself. For example, 797 is a prime number.

 

  • Remainder: The amount left over after division. If a number divides evenly, the remainder is 0.
Professor Greenline from BrightChamps

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 797 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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