100 LearnersLast updated on May 26th, 2025
Factors of 331
Factors are the numbers that divide any given number evenly without a 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 331, how they are used in real life, and tips to learn them quickly.
What are the Factors of 331?
The numbers that divide 331 evenly are known as factors of 331.
A factor of 331 is a number that divides the number without a remainder.
The factors of 331 are 1 and 331.
Negative factors of 331: -1 and -331.
Prime factors of 331: 331.
Prime factorization of 331: 331 (since 331 is a prime number).
The sum of factors of 331: 1 + 331 = 332
How to Find Factors of 331?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we identify the pairs of numbers that multiply to give 331. Since 331 is a prime number, the multiplication method will only confirm it as a product of 1 and itself.
Step 1: Multiply 331 by 1, 331 × 1 = 331.
Since 331 is a prime number, there are no other pairs of numbers that multiply to 331.
The positive factor pair of 331 is: (1, 331).
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 helps list out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 331 by 1, 331 ÷ 1 = 331.
Step 2: Try dividing 331 by other numbers until the remainder becomes 0.
Since 331 is a prime number, it can only be divided by 1 and itself without leaving a remainder.
Therefore, the factors of 331 are: 1 and 331.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 331 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 331 is a prime number, it is not divisible by any other number except 1 and itself.
The prime factor of 331 is 331.
The prime factorization of 331 is: 331.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 331 is a prime number, the factor tree is quite simple:
Step 1: The only division is by itself. So, the prime factorization of 331 is: 331.
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 331: (1, 331).
Negative factor pair of 331: (-1, -331).
Common Mistakes and How to Avoid Them in Factors of 331
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 331, 1 and 331 are factors.
Factors of 331 Examples
Problem 1
There are 331 chairs and 1 auditorium. How will they arrange them equally?
All 331 chairs will be placed in the auditorium.
Explanation
To arrange the chairs, we use the total number of chairs divided by the number of auditoriums.
331/1 = 331
Problem 2
A fence is 331 meters long. If each section of the fence is 1 meter, how many sections are there?
There are 331 sections.
Explanation
To find the number of sections, divide the total length by the length of each section.
331/1 = 331
Problem 3
A race track is 331 meters long. How many laps does a runner complete if they run 1 meter per lap?
The runner completes 331 laps.
Explanation
To find the number of laps, divide the total distance by the distance per lap.
331/1 = 331
Problem 4
A warehouse has 1 pallet holding 331 boxes. How many boxes are on each pallet?
Each pallet has 331 boxes.
Explanation
Divide the total number of boxes by the number of pallets.
331/1 = 331
Problem 5
There are 331 pages in a book, and 1 bookmark. How many pages does the bookmark cover if it marks each page individually?
The bookmark covers 331 pages.
Explanation
Divide the total pages by the number of bookmarks.
331/1 = 331
FAQs on Factors of 331
1.What are the factors of 331?
2.Mention the prime factors of 331.
3.Is 331 a multiple of 2?
4.Mention the factor pair of 331?
5.What is the square of 331?
6.How can children in Canada use numbers in everyday life to understand Factors of 331?
7.What are some fun ways kids in Canada can practice Factors of 331 with numbers?
8.What role do numbers and Factors of 331 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 331 skills?
Important Glossaries for Factors of 331
- Factors: Numbers that divide a given number without leaving a remainder are called factors. For example, the factors of 331 are 1 and 331.
- Prime factors: The factors which are prime numbers. For example, 331 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 331 is (1, 331).
- Prime number: A number that has exactly two distinct positive divisors: 1 and itself. For example, 331 is a prime number.
- Division method: A method of finding factors by dividing a number by whole numbers to check for a remainder. If the remainder is zero, the divisor is a factor.
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About BrightChamps in Canada
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.
