118 LearnersLast updated on May 26th, 2025
Factors of 997
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.
What are the Factors of 997?
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
How to Find Factors of 997?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 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.
Finding Factors Using the Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 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.
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 997, 1 and 997 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 997 include -1 and -997.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 997/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, 997 is a prime number, but its factors are 1 and 997.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not recognizing 997 as a prime number and trying to break it down further.
Factors of 997 Examples
Problem 1
There are 997 marbles and 1 jar. How can they be arranged?
All 997 marbles can go into the jar.
Explanation
Since there is only 1 jar, all marbles must go into that single jar.
Problem 2
A concert hall has 997 seats and one section. How many seats are there in that section?
There are 997 seats in that section.
Explanation
Since there is only one section, all seats are part of that section.
Problem 3
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.
Explanation
Since the trip lasts only 1 day, the total distance traveled per day is 997 kilometers.
Problem 4
An artist has 997 canvases and paints on them in one session. How many canvases does the artist paint?
The artist paints 997 canvases.
Explanation
Since all canvases are used in one session, the artist paints on all 997 canvases.
Problem 5
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.
Explanation
Since the production run is for 997 units, all units are produced in that run.
FAQs on Factors of 997
1.What are the factors of 997?
2.Mention the prime factors of 997.
3.Is 997 a multiple of any number other than 1 and itself?
4.Mention the factor pair of 997?
5.What is the square of 997?
6.How can children in Canada use numbers in everyday life to understand Factors of 997?
7.What are some fun ways kids in Canada can practice Factors of 997 with numbers?
8.What role do numbers and Factors of 997 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 997 skills?
Important Glossaries for Factors of 997
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 997 are 1 and 997.
- Prime factors: The factors which are prime numbers. For example, 997 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 997 is (1, 997).
- Prime number: A number that has no divisors other than 1 and itself. For example, 997 is a prime number.
- Division method: A way to find factors by dividing the number by whole numbers to check for a remainder.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 997
About BrightChamps in Canada
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.
