177 LearnersLast updated on May 26th, 2025
Factors of 115
In this topic, let's learn about factors. It is scarce to find numbers that will divide a given number up to the smallest unit without remainder. These numbers are known as the factors, and learning about factors happens when a student comes across a number or number pair in the real world.
What are the factors of 115?
With the help of the long division method, we can find out that 115 can be easily divided by 1, 5, 23, and 115. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
How to find the factors of 115
There are many methods which the students can use to find out the factors of a number. Below you can find some of these methods.
- Multiplication method
- Division method
- Prime factors and prime factorization
- Factor tree
Finding factors using multiplication method:
Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 115 the pairs are.
1 × 115 = 115
5 × 23 = 115
Hence, we can conclude that the factors of 115 are 1, 5, 23, and 115.
Finding factors by division method
In the division method, you need to divide the given number 115 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.
115 ÷ 1 = 115 (no remainder)
115 ÷ 5 = 23 (no remainder)
Prime factors and prime factorization
Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.
115÷5= 23 (5 is a prime factor).
23 is also a prime number.
Therefore, prime factors of 115 are 5 and 23.
Factor tree
A factor tree is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.
Common mistakes and how to avoid them in factors of 115.
It is quite normal for students to commit a few mistakes while trying to find out the factors of a number. Below are a few such mistakes and how to avoid them.
Mistake 1
Ignoring 1 and the number itself as factors.
1 and the number itself are always considered as factors since they can divide the number, leaving no reminder. Hence, students should not exclude them while listing a number of factors.
Factors of 115 Examples
Problem 1
What is the smallest prime factor of 42?
The smallest prime factor of 42 is 2.
Explanation
42 ÷ 2 = 21
Problem 2
What is the sum of the factors of 100?
The sum of the factors of 100 is 217.
Explanation
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Sum of factors: 1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 = 217
Problem 3
How do you find the LCM of 18 and 24?
The LCM of 18 and 24 is 72.
Explanation
Multiples of 18: 18, 36, 54, 72, ...
Multiples of 24: 24, 48, 72, ...
LCM: 72
FAQs on factors of 115.
1. What are the prime factors of 30?
2.Is the divisor the same as factors?
3.How can you list the factors of large numbers efficiently?
4.What is the difference between prime and composite factors?
5.What is the greatest common factor between 6 and 8?
Important glossaries for factors of 115.
- Divisor: Any integer that can be divided, with no remainder, by some other integer, is a divisor.
- Prime Factorization: Writing a number as the product of its own prime factors.
- Factor Pair: Multiplication of two factors to get a product.
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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.
