101 LearnersLast updated on May 26th, 2025
Factors of 313
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 313, how they are used in real life, and tips to learn them quickly.
What are the Factors of 313?
The numbers that divide 313 evenly are known as factors of 313.
A factor of 313 is a number that divides the number without remainder.
The factors of 313 are 1 and 313.
Negative factors of 313: -1 and -313.
Prime factors of 313: 313 is a prime number and has no other prime factors.
The sum of factors of 313: 1 + 313 = 314
How to Find Factors of 313?
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 the pairs of numbers that are multiplied to give 313.
Since 313 is a prime number, the only multiplication that results in 313 is multiplying it by 1.
Step 1: Multiply 313 by 1, 313 × 1 = 313.
There are no other pairs, as 313 is a prime number.
Therefore, the positive factor pair of 313 is: (1, 313).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 313 by 1, 313 ÷ 1 = 313.
Step 2: Checking further, 313 is not divisible by any other number without leaving a remainder.
Therefore, the factors of 313 are: 1 and 313.
Prime Factors and Prime Factorization
The factors can be found by dividing by prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: Since 313 is a prime number, it is only divisible by 1 and itself.
Thus, the prime factorization of 313 is 313 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
Since 313 is a prime number, it cannot be broken down further in a factor tree.
The prime factorization of 313 is simply 313.
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 313: (1, 313).
Negative factor pair of 313: (-1, -313).
Common Mistakes and How to Avoid Them in Factors of 313
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 313, 1 and 313 are the factors.
Factors of 313 Examples
Problem 1
A scientist has 313 samples and wants to divide them equally into containers. How many containers can they use to ensure an equal number of samples in each?
They can use 1 or 313 containers.
Explanation
To divide the samples equally, we need to use the factors of 313.
The factors are 1 and 313, meaning they can use either 1 container with 313 samples or 313 containers with 1 sample each.
Problem 2
A garden plot is 313 square meters. If the width is 1 meter, what is the length?
313 meters.
Explanation
To find the length of the garden plot, use the formula:
Area = length × width
313 = 1 × length
Length = 313.
Problem 3
A library has 313 books and needs to distribute them evenly on shelves. If each shelf can only hold 1 book, how many shelves are needed?
313 shelves.
Explanation
To find the number of shelves needed, divide the total books by the capacity of each shelf.
313/1 = 313
Problem 4
A farmer is planting 313 seeds, one in each row. How many rows will the farmer plant?
313 rows.
Explanation
Each seed is planted in one row, so the number of rows equals the number of seeds.
313/1 = 313
Problem 5
There are 313 students in a school, and each student needs a chair. How many chairs are required?
313 chairs.
Explanation
Since each student requires a chair, the number of chairs equals the number of students.
313/1 = 313
FAQs on Factors of 313
1.What are the factors of 313?
2.Mention the prime factors of 313.
3.Is 313 a multiple of 2?
4.Mention the factor pairs of 313?
5.Is 313 a prime number?
6.How can children in Canada use numbers in everyday life to understand Factors of 313?
7.What are some fun ways kids in Canada can practice Factors of 313 with numbers?
8.What role do numbers and Factors of 313 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 313 skills?
Important Glossaries for Factors of 313
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 313 are 1 and 313.
- Prime factors: The factors which are prime numbers. For example, 313 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 313 is (1, 313).
- Prime number: A number greater than 1 with no divisors other than 1 and itself. 313 is an example of a prime number.
- Negative factors: Factors that are negative. For example, -1 and -313 are negative factors of 313.
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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.
