101 LearnersLast updated on May 26th, 2025
Factors of 2017
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 2017, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2017?
The numbers that divide 2017 evenly are known as factors of 2017.'
A factor of 2017 is a number that divides the number without remainder.
Since 2017 is a prime number, its only factors are 1 and 2017.
Negative factors of 2017: -1 and -2017.
Prime factors of 2017: 2017.
Prime factorization of 2017: 2017 (since it is a prime number).
The sum of factors of 2017: 1 + 2017 = 2018
How to Find Factors of 2017?
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 2017. Since 2017 is a prime number, it can only be represented as a product of 1 and itself, 2017.
Step 1: Multiply 2017 by 1, 2017 × 1 = 2017.
Therefore, the only positive factor pair of 2017 is: (1, 2017).
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 2017 by 1, 2017 ÷ 1 = 2017.
Step 2: Check for other numbers until the remainder becomes 0.
Since no other number divides 2017 without a remainder, it confirms that 2017 is a prime number.
Therefore, the factors of 2017 are: 1 and 2017.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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, since 2017 is a prime number, it doesn't break down further into smaller prime numbers.
The prime factors of 2017 are 2017 itself.
The prime factorization of 2017 is: 2017.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
For 2017, as it is a prime number, the factor tree does not branch further.
So, the prime factorization of 2017 is simply 2017.
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 pairs of 2017: (1, 2017).
Negative factor pairs of 2017: (-1, -2017).
Common Mistakes and How to Avoid Them in Factors of 2017
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 2017, 1 and 2017 are factors.
Factors of 2017 Examples
Problem 1
There are 2017 pages in a book and 1 reader. How will they read it equally?
The reader will read 2017 pages.
Explanation
To divide the pages equally, we need to divide the total pages by the number of readers.
2017/1 = 2017
Problem 2
A conference event has 2017 seats and 1 available seat per session. How many sessions can be held?
2017 sessions can be held.
Explanation
To find the number of sessions, use the total seats divided by seats per session.
2017/1 = 2017
Problem 3
A gallery has 2017 paintings and 1 exhibition stand. How many paintings will go on each stand?
The stand will have 2017 paintings.
Explanation
To find the number of paintings per stand, divide the total paintings by the number of stands.
2017/1 = 2017
Problem 4
There are 2017 samples and 1 box. How many samples will be in each box?
The box will have 2017 samples.
Explanation
Divide the total samples by the number of boxes.
2017/1 = 2017
Problem 5
2017 students need to be seated in a single auditorium. How many students will be there?
There will be 2017 students.
Explanation
Divide the total number of students by the number of auditoriums.
2017/1 = 2017
FAQs on Factors of 2017
1.What are the factors of 2017?
2.Mention the prime factors of 2017.
3.Is 2017 a multiple of 4?
4.Mention the factor pairs of 2017?
5.What is the square of 2017?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 2017?
7.What are some fun ways kids in Indonesia can practice Factors of 2017 with numbers?
8.What role do numbers and Factors of 2017 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 2017 skills?
Important Glossaries for Factor of 2017
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2017 are 1 and 2017.
- Prime factors: The factors that are prime numbers. For example, 2017 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 2017 is (1, 2017).
- Prime number: A number that has only two factors: 1 and itself. For example, 2017 is a prime number.
- Negative factors: The negative counterparts of the positive factors of a number. For example, -1 and -2017 are negative factors of 2017.
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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.
