100 LearnersLast updated on May 26th, 2025
Factors of 1297
Factors are the numbers that divide any given number evenly without a 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 1297, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1297?
The numbers that divide 1297 evenly are known as factors of 1297.
A factor of 1297 is a number that divides the number without a remainder.
The factors of 1297 are 1 and 1297, as 1297 is a prime number.
Negative factors of 1297: -1 and -1297.
Prime factors of 1297: 1297 itself, as it is a prime number.
Prime factorization of 1297: 1297 (since it is a prime number, it cannot be factorized further).
The sum of factors of 1297: 1 + 1297 = 1298
How to Find Factors of 1297?
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 pairs of numbers that are multiplied to give 1297.
However, since 1297 is a prime number, it does not have other pairs besides 1 and 1297 itself.
Therefore, the factor pair of 1297 is simply (1, 1297).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1297 by 1, 1297 ÷ 1 = 1297.
Step 2: Continue dividing 1297 by numbers until the remainder becomes 0.
1297 ÷ 1 = 1297
1297 ÷ 1297 = 1
Therefore, the factors of 1297 are: 1 and 1297.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers.
Since 1297 is a prime number, it can only be divided by 1 and itself.
Therefore, the prime factorization of 1297 is simply 1297.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors.
However, since 1297 is a prime number, it does not break down further into smaller prime factors.
The prime factorization of 1297 is 1297 itself.
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 1297: (1, 1297).
Negative factor pair of 1297: (-1, -1297).
Common Mistakes and How to Avoid Them in Factors of 1297
Mistakes are common while finding factors. We can identify and correct those mistakes by understanding 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 1297, 1 and 1297 are also factors.
Factors of 1297 Examples
Problem 1
There are 1,297 apples and each basket can hold only 1 apple. How many baskets are needed?
1,297 baskets are needed.
Explanation
To hold all apples, each basket holds exactly 1 apple.
Therefore, 1,297 baskets are needed.
Problem 2
A straight path is 1,297 meters long. If each step covers 1 meter, how many steps are needed to walk the entire path?
1,297 steps are needed.
Explanation
Since each step covers 1 meter, you will need 1,297 steps to cover the entire path of 1,297 meters.
Problem 3
A concert hall has 1,297 seats. If each row has only 1 seat, how many rows are there?
There are 1,297 rows.
Explanation
If each row has 1 seat, then there will be 1,297 rows in total to accommodate 1,297 seats.
Problem 4
A library has 1,297 books. If each shelf holds only 1 book, how many shelves are required?
1,297 shelves are required.
Explanation
Since each shelf holds 1 book, 1,297 shelves will be needed to hold 1,297 books.
Problem 5
A school has 1,297 students, and each student gets 1 notebook. How many notebooks are needed?
1,297 notebooks are needed.
Explanation
Each student gets 1 notebook, so 1,297 notebooks are needed for 1,297 students.
FAQs on Factors of 1297
1.What are the factors of 1297?
2.Mention the prime factors of 1297.
3.Is 1297 a multiple of 2?
4.Mention the factor pair of 1297?
5.What is the square of 1297?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1297?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1297 with numbers?
8.What role do numbers and Factors of 1297 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1297 skills?
Important Glossaries for Factor of 1297
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1297 are 1 and 1297.
- Prime factors: The factors which are prime numbers. For example, 1297 is a prime number and thus is its own prime factor.
- 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 1297 is (1, 1297).
- Prime number: A number that has exactly two distinct positive divisors: 1 and itself. For example, 1297 is a prime number.
- Multiple: A number that can be divided by another number without a remainder. For example, 1297 is not a multiple of 2.
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About BrightChamps in United Arab Emirates
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.
