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 997, how they are used in real life, and tips to learn them quickly.
The numbers that divide 997 evenly are known as factors of 997.
A factor of 997 is a number that divides the number without remainder.
The factors of 997 are 1 and 997.
Negative factors of 997: -1 and -997.
Prime factors of 997: 997.
Prime factorization of 997: 997 (since it is a prime number).
The sum of factors of 997: 1 + 997 = 998
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 997. Since 997 is a prime number, the only multiplication that results in 997 is:
Step 1: Multiply 997 by 1, 997 × 1 = 997.
Therefore, the positive factor pair of 997 is: (1, 997). For every positive factor, there is a negative factor.
Dividing the given number 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 997 by 1, 997 ÷ 1 = 997.
Step 2: Since 997 is a prime number, it cannot be divided by any other number except itself to get an integer result.
Therefore, the factors of 997 are: 1 and 997.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, since 997 is a prime number, it does not have any prime factors other than itself. The prime factorization of 997 is: 997.
The factor tree is the graphical representation of breaking down any number into prime factors. For 997, which is already a prime number, the factor tree is trivial: 997 Since 997 is not divisible by any other prime numbers, it remains as 997.
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 pair of 997: (1, 997).
Negative factor pair of 997: (-1, -997).
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 997 marbles and 1 jar. How can they be arranged?
All 997 marbles can go into the jar.
Since there is only 1 jar, all marbles must go into that single jar.
A concert hall has 997 seats and one section. How many seats are there in that section?
There are 997 seats in that section.
Since there is only one section, all seats are part of that section.
A cyclist travels 997 kilometers in a single trip. How many kilometers do they travel per day if the trip lasts 1 day?
The cyclist travels 997 kilometers per day.
Since the trip lasts only 1 day, the total distance traveled per day is 997 kilometers.
An artist has 997 canvases and paints on them in one session. How many canvases does the artist paint?
The artist paints 997 canvases.
Since all canvases are used in one session, the artist paints on all 997 canvases.
A company produces 997 units of a product in a single production run. How many units are produced in that run?
997 units are produced.
Since the production run is for 997 units, all units are produced in that run.
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.