173 LearnersLast updated on May 26th, 2025
Factors of 131
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 131?
With the help of the long division method, we can find out that 131 can be easily divided by 1 and 131. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
How to find the factors of 131
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 131 the pairs are.
1 × 131 = 131
Hence, we can conclude that the factors of 131 are 1 and 131.
Finding factors by division method
In the division method, you need to divide the given number 131 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.
131 ÷ 1 = 131 (no remainder)
131 ÷ 131 = 1 (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.
131÷1= 131 (1 is a prime factor).
131 is also a prime number.
Therefore, prime factors of 131 are 1 and 131.
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 131.
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 131 Examples
Problem 1
What is the sum of even factors of 48?
96
Explanation
Even factors of 48: 2, 4, 6, 8, 12, 16, 24, 48
Sum of even factors: 2 + 4 + 6 + 8 + 12 + 16 + 24 + 48 = 96
Problem 2
What is the sum of all the factors of 45?
The sum of the factors of 45 is 78.
Explanation
Factors of 45: 1, 3, 5, 9, 15, 45
Sum of factors: 1 + 3 + 5 + 9 + 15 + 45 = 78
Problem 3
What is the greatest common factor (GCF) of 20 and 30?
10
Explanation
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
GCF: 10
FAQs on factors of 131
1.Is 5 a factor of 50?
2. What are the prime factors of 24?
3.Is the divisor the same as factors?
4.What is the difference between division and prime factor method?
5. How many factors does number 30 have?
Important glossaries for factors of 131
- 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.
Explore More numbers
Previous to Factors of 131
Next to Factors of 131
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.
