100 LearnersLast updated on May 26th, 2025
Factors of 1997
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 1997, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1997?
The numbers that divide 1997 evenly are known as factors of 1997.
A factor of 1997 is a number that divides the number without remainder.
The factors of 1997 are 1 and 1997.
Negative factors of 1997: -1 and -1997.
Prime factors of 1997: 1997.
Prime factorization of 1997: 1997 (since it is a prime number).
The sum of factors of 1997: 1 + 1997 = 1998
How to Find Factors of 1997?
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 1997.
Since 1997 is a prime number, the only multiplication pair is itself and 1.
Therefore, the only positive factor pair of 1997 is: (1, 1997).
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 a simple division method
Step 1: Divide 1997 by 1, 1997 ÷ 1 = 1997.
Since 1997 is a prime number, it can only be divided evenly by 1 and 1997.
Therefore, the factors of 1997 are: 1 and 1997.
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
Since 1997 is a prime number itself, it does not have any other prime factors apart from 1997.
The prime factorization of 1997 is: 1997.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1997 is already a prime number, it cannot be broken down further using a factor tree.
The prime factorization of 1997 is simply: 1997.
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 1997: (1, 1997).
Negative factor pair of 1997: (-1, -1997).
Common Mistakes and How to Avoid Them in Factors of 1997
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 1997, 1 and 1997 are factors.
Factors of 1997 Examples
Problem 1
A group of 1997 people is attending a concert. If each person needs 1 ticket, how many tickets are needed in total?
1997 tickets are needed.
Explanation
To find the total number of tickets needed, multiply the number of people by the number of tickets each person needs.
1997 × 1 = 1997
Problem 2
A classroom has 1997 chairs and 1 row. How many chairs are in each row?
1997 chairs.
Explanation
To find the number of chairs in each row, divide the total chairs by the number of rows.
1997 ÷ 1 = 1997
Problem 3
There are 1997 books in a library and 1 shelf. How many books will be on the shelf?
1997 books.
Explanation
To find the number of books on each shelf, divide the total books by the number of shelves.
1997 ÷ 1 = 1997
Problem 4
If a marathon has 1997 participants and each participant is given a unique number, what is the highest number assigned?
1997
Explanation
Since each participant gets a unique number and there are 1997 participants, the highest number assigned will be 1997.
Problem 5
A box contains 1997 identical marbles. If you need to divide them into 1 group, how many marbles will each group have?
1997 marbles.
Explanation
To divide the marbles into groups, divide the total number of marbles by the number of groups.
1997 ÷ 1 = 1997
FAQs on Factors of 1997
1.What are the factors of 1997?
2.Mention the prime factors of 1997.
3.Is 1997 a prime number?
4.Mention the factor pairs of 1997?
5.What is the square of 1997?
6.How can children in Australia use numbers in everyday life to understand Factors of 1997?
7.What are some fun ways kids in Australia can practice Factors of 1997 with numbers?
8.What role do numbers and Factors of 1997 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1997 skills?
Important Glossaries for Factor of 1997
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1997 are 1 and 1997.
- Prime factors: The factors which are prime numbers. For example, 1997 is the 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 1997 is (1, 1997).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1997 is a prime number.
- Division method: A method to find factors by dividing the number by integers until the remainder is zero.
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About BrightChamps in Australia
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.
