101 LearnersLast updated on May 26th, 2025
Factors of 1117
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 1117, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1117?
The numbers that divide 1117 evenly are known as factors of 1117.
A factor of 1117 is a number that divides the number without a remainder.
The factors of 1117 are 1 and 1117.
Negative factors of 1117: -1 and -1117.
Prime factors of 1117: 1117 (since 1117 is a prime number).
Prime factorization of 1117: 1117.
The sum of factors of 1117: 1 + 1117 = 1118
How to Find Factors of 1117?
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 1117. Since 1117 is a prime number, the multiplication method is straightforward.
Step 1: Multiply 1117 by 1, 1117 × 1 = 1117.
Therefore, the positive factor pair of 1117 is: (1, 1117).
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 as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1117 by 1, 1117 ÷ 1 = 1117.
Step 2: Check if 1117 can be divided by any other number.
Since 1117 is a prime number, it cannot be divided by any number other than 1 and itself.
Therefore, the factors of 1117 are: 1 and 1117.
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 a factor tree
Using Prime Factorization: Since 1117 is a prime number, it is its own prime factor.
The prime factorization of 1117 is: 1117.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1117 is a prime number, the factor tree is simple: 1117
As 1117 is already a prime number, it cannot be broken down further.
So, the prime factorization of 1117 is: 1117.
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 1117: (1, 1117).
Negative factor pair of 1117: (-1, -1117).
Common Mistakes and How to Avoid Them in Factors of 1117
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
People 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 1117, 1 and 1117 are also factors.
Factors of 1117 Examples
Problem 1
There are 1117 apples and 1 basket. How will they be divided equally?
All 1117 apples will go in the basket.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1117/1 = 1117
Problem 2
An auditorium has 1117 seats and is organizing a single event. How many seats are available per event?
1117 seats are available for the event.
Explanation
Since there is only one event, all 1117 seats are available.
1117/1 = 1117
Problem 3
A teacher has 1117 markers and one box. How many markers will fit in the box?
All 1117 markers will fit in the box.
Explanation
To find out how many markers will fit in the box:
1117/1 = 1117
Problem 4
A stadium has 1117 chairs and one section. How many chairs are there in each section?
There are 1117 chairs in each section.
Explanation
Dividing the chairs by the number of sections gives the number of chairs in each section.
1117/1 = 1117
Problem 5
1117 books need to be arranged in one library. How many books will go in the library?
All 1117 books will go in the library.
Explanation
Divide the total number of books by the number of libraries.
1117/1 = 1117
FAQs on Factors of 1117
1.What are the factors of 1117?
2.Mention the prime factors of 1117.
3.Is 1117 a prime number?
4.Mention the factor pairs of 1117?
5.Is 1117 divisible by any number other than 1 and itself?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1117?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1117 with numbers?
8.What role do numbers and Factors of 1117 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 1117 skills?
Important Glossaries for Factors of 1117
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1117 are 1 and 1117.
- Prime factors: The factors which are prime numbers. For example, 1117 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 1117 is (1, 1117).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 1117 is a prime number.
- Division method: A method to find factors by dividing the number by integers to check for remainder zero. For example, dividing 1117 by whole numbers to find factors.
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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.
