120 LearnersLast updated on May 26th, 2025
Factors of 797
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.
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
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
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.
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.
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.
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).
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
Forgetting the number itself and 1 is a factor
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.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 797 consist of -1 and -797.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 797/1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 797 are prime numbers. In this case, 797 is itself a prime number, but not all numbers are.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing that 797 is a prime number and incorrectly attempting to factorize it further.
Factors of 797 Examples
Problem 1
There are 797 apples and 1 basket. How will they be placed?
All 797 apples will be placed in one basket.
Explanation
Since there is only 1 basket, all apples go into it.
797/1 = 797
Problem 2
A piece of land is shaped as a square, with each side measuring 797 meters. What is the perimeter of the land?
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
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?
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
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?
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
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?
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
FAQs on Factors of 797
1.What are the factors of 797?
2.Mention the prime factors of 797.
3.Is 797 a multiple of 7?
4.Mention the factor pairs of 797?
5.What is the square of 797?
6.How can children in Qatar use numbers in everyday life to understand Factors of 797?
7.What are some fun ways kids in Qatar can practice Factors of 797 with numbers?
8.What role do numbers and Factors of 797 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 797 skills?
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.
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About BrightChamps in Qatar
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.
Fun Fact
: She loves to read number jokes and games.
