100 LearnersLast updated on May 26th, 2025
Factors of 9997
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 9997, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 9997?
The numbers that divide 9997 evenly are known as factors of 9997.
A factor of 9997 is a number that divides the number without remainder.
The factors of 9997 are 1 and 9997.
Negative factors of 9997: -1 and -9997.
Prime factors of 9997: 9997 (since it is a prime number).
Prime factorization of 9997: 9997 × 1.
The sum of factors of 9997: 1 + 9997 = 9998
How to Find Factors of 9997?
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 9997. Since 9997 is a prime number, the only multiplication that results in 9997 is:
Step 1: Multiply 9997 by 1, 9997 × 1 = 9997.
Therefore, the positive factor pair of 9997 is: (1, 9997).
For every positive factor, there is a negative factor.
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 methods
Step 1: Divide 9997 by 1, 9997 ÷ 1 = 9997.
Since 9997 is a prime number, it will only divide by 1 and itself without leaving a remainder.
Therefore, the factors of 9997 are: 1 and 9997.
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: Since 9997 is a prime number, it cannot be broken down into smaller prime factors.
The prime factors of 9997 are 9997 itself. The prime factorization of 9997 is: 9997 × 1.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
For 9997, since it is a prime number, the factor tree would simply show: 9997 So, the prime factorization of 9997 is: 9997 × 1.
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 9997: (1, 9997). Negative factor pair of 9997: (-1, -9997).
Common Mistakes and How to Avoid Them in Factors of 9997
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 9997, 1 and 9997 is also a factor.
Factors of 9997 Examples
Problem 1
There are 9997 candies and 1 jar. How will they divide it equally?
All 9997 candies will go into the jar.
Explanation
To divide the candies equally, we need to divide the total candies with the number of jars.
9997/1 = 9997
Problem 2
A flagpole is 9997 meters tall, and its base is 1 meter wide. What is the ratio of the height to the base width?
9997:1
Explanation
To find the ratio, divide the height by the base width.
9997/1 = 9997
Problem 3
There are 1,000,000 grains of rice, and each package must contain 9997 grains. How many packages can you make?
100 packages with 3 grains remaining.
Explanation
To find the number of packages, divide the total grains by grains per package.
1,000,000/9997 = 100 with a remainder of 3
Problem 4
In a tournament, there are 9997 participants and each team has 1 player. How many teams are there?
There are 9997 teams.
Explanation
Dividing the participants by players per team, we get the number of teams.
9997/1 = 9997
Problem 5
9997 books need to be distributed equally among 1 library. How many books will the library receive?
The library will receive all 9997 books.
Explanation
Divide total books by the number of libraries.
9997/1 = 9997
FAQs on Factors of 9997
1.What are the factors of 9997?
2.Mention the prime factors of 9997.
3.Is 9997, a multiple of any number other than 1 and itself?
4.Mention the factor pair of 9997?
5.What is the square of 9997?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 9997?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 9997 with numbers?
8.What role do numbers and Factors of 9997 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 9997 skills?
Important Glossaries for Factors of 9997
- Factors: The numbers that divide the given number without leaving a remainder. For example, the factors of 9997 are 1 and 9997.
- Prime factors: The factors which are prime numbers. For example, 9997 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 9997 is (1, 9997).
- Prime number: A number that has only two distinct positive divisors: 1 and itself. For example, 9997 is a prime number.
- Negative factors: Factors that are negative, for example, -1 and -9997 are negative factors of 9997.
Explore More numbers
Previous to Factors of 9997
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.
