104 LearnersLast updated on May 26th, 2025
Factors of 307
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 307, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 307?
The numbers that divide 307 evenly are known as factors of 307.
A factor of 307 is a number that divides the number without a remainder.
The factors of 307 are 1 and 307.
Negative factors of 307: -1 and -307.
Prime factors of 307: 307.
Prime factorization of 307: 307 (since it is a prime number).
The sum of factors of 307: 1 + 307 = 308
How to Find Factors of 307?
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 need to identify pairs of numbers that are multiplied to give 307.
Identifying the numbers which are multiplied to get the number 307 is the multiplication method.
Since 307 is a prime number, it only has two factors: 1 and 307 itself.
Therefore, the positive factor pair of 307 is: (1, 307).
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 that result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 307 by 1, 307 ÷ 1 = 307.
Step 2: Check divisibility by other numbers. Since 307 is a prime number, it will not divide evenly by any other numbers except itself.
Therefore, the factors of 307 are: 1 and 307.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. Since 307 itself is a prime number, it does not have any other prime factors.
Using Prime Factorization: In this process, since 307 is a prime number, it is already in its simplest prime factorization form.
The prime factorization of 307 is: 307.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors.
Since 307 is a prime number, it cannot be broken down further.
The prime factorization of 307 is: 307 itself.
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 307: (1, 307).
Negative factor pair of 307: (-1, -307).
Common Mistakes and How to Avoid Them in Factors of 307
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 the factors of 307, 1 and 307 are also factors.
Factors of 307 Examples
Problem 1
There are 307 participants in a race. How can they be grouped equally into 1 team?
All 307 participants will be in one team.
Explanation
Since 307 is a prime number, it cannot be divided into smaller equal groups without remainder. The only way to group them is into one team of 307.
Problem 2
A library has 307 books and needs to arrange them on a single shelf. How many books are on the shelf?
There are 307 books on the shelf.
Explanation
Since there is only one shelf, all 307 books will be placed on it.
Problem 3
A theater has 307 seats and 1 show. How many seats will be occupied if all are filled?
All 307 seats will be occupied.
Explanation
As there is only one show and 307 seats, all seats will be filled if everyone attends.
Problem 4
There are 307 employees in a company and 1 project. How many employees will work on the project?
All 307 employees will work on the project.
Explanation
Since there is only one project, all employees will be assigned to it.
Problem 5
307 students are attending a seminar in one auditorium. How many students are present?
There are 307 students present.
Explanation
Since there is only one auditorium, all 307 students are present in it.
FAQs on Factors of 307
1.What are the factors of 307?
2.Mention the prime factors of 307.
3.Is 307 a multiple of 3?
4.Mention the factor pairs of 307?
5.What is the square of 307?
6.How can children in Canada use numbers in everyday life to understand Factors of 307?
7.What are some fun ways kids in Canada can practice Factors of 307 with numbers?
8.What role do numbers and Factors of 307 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 307 skills?
Important Glossaries for Factors of 307
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 307 are 1 and 307.
- Prime factors: The factors which are prime numbers. For example, 307 is a prime number and 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 307 is (1, 307).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 307 is a prime number.
- Division method: A method to find factors by dividing the number by other numbers to check if the quotient is a whole number.
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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.
