128 LearnersLast updated on May 26th, 2025
Factors of 113
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 113, how they are used in real life, and tips to learn them quickly.
What are the Factors of 113?
The numbers that divide 113 evenly are known as factors of 113. A factor of 113 is a number that divides the number without remainder. Since 113 is a prime number, the factors of 113 are 1 and 113.
Negative factors of 113: -1 and -113.
Prime factors of 113: 113.
Prime factorization of 113: 113 (since it is a prime number).
The sum of factors of 113: 1 + 113 = 114
How to Find Factors of 113?
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 identify pairs of numbers that multiply to give 113. Since 113 is a prime number, it can only be expressed as:
Step 1: Multiply 113 by 1, 113 × 1 = 113.
Therefore, the positive factor pair of 113 is: (1, 113). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 113 by 1, 113 ÷ 1 = 113.
Step 2: Since 113 is a prime number, it is not divisible by any number other than 1 and itself.
Therefore, the factors of 113 are: 1 and 113.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. Since 113 is a prime number, it cannot be broken down into smaller prime numbers.
Therefore, its prime factorization is simple: 113 ÷ 113 = 1
The prime factor of 113 is 113 itself.
Factor Tree
A factor tree is a graphical representation of breaking down any number into prime factors. However, for 113, since it is a prime number, the factor tree is straightforward: 113 is already a prime number, so it cannot be broken down further. Thus, the prime factorization of 113 is: 113.
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 113: (1, 113). Negative factor pairs of 113: (-1, -113).
Common Mistakes and How to Avoid Them in Factors of 113
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 113, 1 and 113 are also factors.
Factors of 113 Examples
Problem 1
There are 113 apples, and 1 basket. How will they distribute them?
All 113 apples will go into the basket.
Explanation
To distribute the apples, divide the total apples by the number of baskets.
113/1 = 113
Problem 2
A fence needs to be built using 113 meters of wood. If each section of the fence requires 113 meters, how many sections can be made?
1 section.
Explanation
To find the number of sections, divide the total wood by the length required for each section.
113/113 = 1
Problem 3
There are 113 students in a class, and they need to form groups of 1. How many groups will be there?
There will be 113 groups.
Explanation
To find the number of groups, divide the total students by the group size.
113/1 = 113
Problem 4
A marathon has 113 participants, and each participant represents 1 team. How many teams are there in total?
There are 113 teams.
Explanation
The number of teams is equal to the number of participants since each participant represents one team.
113/1 = 113
Problem 5
113 chairs need to be arranged in a single row. How many rows will there be?
There will be 1 row.
Explanation
To find the number of rows, divide the total chairs by the number of chairs per row.
113/113 = 1
FAQs on Factors of 113
1.What are the factors of 113?
2.Mention the prime factors of 113.
3.Is 113 a multiple of 1?
4.Mention the factor pairs of 113?
5.Is 113 a prime number?
6.How can children in United States use numbers in everyday life to understand Factors of 113?
7.What are some fun ways kids in United States can practice Factors of 113 with numbers?
8.What role do numbers and Factors of 113 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 113 skills?
Important Glossaries for Factor of 113
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 113 are 1 and 113.
- Prime factors: The factors which are prime numbers. For example, 113 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 113 is (1, 113).
- Prime number: A number greater than 1 with no positive divisors other than 1 and itself. For example, 113 is a prime number.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 113 is already a prime number, so its prime factorization is 113.
Explore More numbers
Previous to Factors of 113
About BrightChamps in United States
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.
