Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 797 apples and 1 basket. How will they be placed?
All 797 apples will be placed in one basket.
Since there is only 1 basket, all apples go into it.
797/1 = 797
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.
The perimeter of a square is calculated as 4 times the length of one side.
Perimeter = 4 × 797 = 3188
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.
If there is only one student, dividing the books among them means they get all the books.
797/1 = 797
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.
Since the garden is divided into 1 section, the length of the section is the entire circumference.
797/1 = 797
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.
Since the race is completed in one lap, the distance run is the length of the race.
797/1 = 797
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.
: She loves to read number jokes and games.