101 LearnersLast updated on May 26th, 2025
Factors of 1697
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 1697, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1697?
The numbers that divide 1697 evenly are known as factors of 1697.
A factor of 1697 is a number that divides the number without a remainder.
The factors of 1697 are 1 and 1697.
Negative factors of 1697: -1 and -1697.
Prime factors of 1697: 1697 (since it is a prime number).
Prime factorization of 1697: 1697.
The sum of factors of 1697: 1 + 1697 = 1698
How to Find Factors of 1697?
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 1697. Since 1697 is a prime number, it only has trivial multiplication pairs.
Step 1: Multiply 1697 by 1, 1697 × 1 = 1697.
Therefore, the positive factor pair of 1697 is: (1, 1697).
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 which result as whole numbers are factors. Factors can be calculated by following the simple division method
Step 1: Divide 1697 by 1, 1697 ÷ 1 = 1697.
Step 2: Check for any other whole number divisors. Since 1697 is a prime number, no other divisions result in a whole number.
Therefore, the factors of 1697 are: 1 and 1697.
Prime Factors and Prime Factorization
The factors can be found by dividing them with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1697 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 1697 is prime, it is its own prime factor.
The prime factors of 1697 are 1697.
The prime factorization of 1697 is: 1697.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1697 is a prime number, it cannot be broken down further. So, the prime factorization of 1697 is 1697.
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 1697: (1, 1697).
Negative factor pair of 1697: (-1, -1697).
Common Mistakes and How to Avoid Them in Factors of 1697
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 1697, 1 and 1697 are also factors.
Factors of 1697 Examples
Problem 1
There are 1697 marbles and 1 box. How will the marbles be divided?
All 1697 marbles will go into the box.
Explanation
Since there is only one box, all marbles will go into it.
1697/1 = 1697
Problem 2
A ribbon is 1697 centimeters long. If you cut it into pieces of 1 cm each, how many pieces will you get?
You will get 1697 pieces.
Explanation
To find the number of pieces, divide the total length by the length of each piece.
1697/1 = 1697
Problem 3
You have 1 container and 1697 grams of sugar. How much sugar will go into each container?
1697 grams of sugar will go into the container.
Explanation
Divide the total sugar by the number of containers.
1697/1 = 1697
Problem 4
In a library, there are 1697 books, and 1 shelf. How many books are there on the shelf?
There are 1697 books on the shelf.
Explanation
Dividing the books by the number of shelves gives the number of books per shelf.
1697/1 = 1697
Problem 5
1697 apples need to be packed into 1 basket. How many apples will go in the basket?
Each of the baskets will have 1697 apples.
Explanation
Divide the total apples by the number of baskets.
1697/1 = 1697
FAQs on Factors of 1697
1.What are the factors of 1697?
2.Mention the prime factors of 1697.
3.Is 1697 a multiple of 2?
4.Mention the factor pair of 1697?
5.Is 1697 a prime number?
Important Glossaries for Factor of 1697
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1697 are 1 and 1697.
- Prime factors: The factors which are prime numbers. For example, 1697 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 1697 is (1, 1697).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1697 is a prime number.
- Division method: A technique to find factors by dividing the number by integers to see which divisions yield whole numbers.
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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.
