118 LearnersLast updated on May 26th, 2025
Factors of 813
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 813, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 813?
The numbers that divide 813 evenly are known as factors of 813.
A factor of 813 is a number that divides the number without remainder.
The factors of 813 are 1, 3, 271, and 813.
Negative factors of 813: -1, -3, -271, -813.
Prime factors of 813: 3 and 271.
Prime factorization of 813: 3 × 271.
The sum of factors of 813: 1 + 3 + 271 + 813 = 1088
How to Find Factors of 813?
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 813. Identifying the numbers which are multiplied to get the number 813 is the multiplication method.
Step 1: Multiply 813 by 1, 813 × 1 = 813.
Step 2: Check for other numbers that give 813 after multiplying
3 × 271 = 813
Therefore, the positive factor pairs of 813 are: (1, 813), (3, 271).
All these factor pairs result in 813.
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 simple division method
Step 1: Divide 813 by 1, 813 ÷ 1 = 813.
Step 2: Continue dividing 813 by the numbers until the remainder becomes 0.
813 ÷ 1 = 813
813 ÷ 3 = 271
Therefore, the factors of 813 are: 1, 3, 271, 813.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 813 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
813 ÷ 3 = 271
271 is a prime number and cannot be divided further.
The prime factors of 813 are 3 and 271.
The prime factorization of 813 is: 3 × 271.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 813 is divided by 3 to get 271.
Step 2: Here, 271 is a prime number, that cannot be divided anymore. So, the prime factorization of 813 is: 3 × 271.
Factor Pairs: Two numbers that are multiplied to give a specific number are called as factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 813: (1, 813), (3, 271).
Negative factor pairs of 813: (-1, -813), (-3, -271).
Common Mistakes and How to Avoid Them in Factors of 813
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 813, 1 and 813 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 813 consist of -1, -3, -271, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 813/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 813 are prime numbers.
For example, 3 and 271 are the prime factors of 813, but it has other factors like 1 and 813.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 813 as 3 × 271 and missing all the key factors.
Factors of 813 Examples
Problem 1
There are 3 teams and 813 points. How will they divide the points equally?
They will get 271 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
813/3 = 271
Problem 2
A library has 813 books and each shelf holds 1 book. How many shelves are needed?
813 shelves.
Explanation
To find the number of shelves needed, divide the total books by the number of books per shelf.
813/1 = 813
Problem 3
There are 3 gift bags and 813 candies. How many candies will be in each bag?
Each bag will have 271 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags.
813/3 = 271
Problem 4
In a game, there are 813 players, and 3 groups. How many players are there in each group?
There are 271 players in each group.
Explanation
Dividing the players by the total groups, we will get the number of players in each group.
813/3 = 271
Problem 5
813 coins need to be distributed into 3 boxes. How many coins will go in each box?
Each of the boxes has 271 coins.
Explanation
Divide total coins by boxes.
813/3 = 271
FAQs on Factors of 813
1.What are the factors of 813?
2.Mention the prime factors of 813.
3.Is 813 a multiple of 3?
4.Mention the factor pairs of 813?
5.What is the cube of 813?
Important Glossaries for Factor of 813
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 813 are 1, 3, 271, and 813.
- Prime factors: The factors which are prime numbers. For example, 3 and 271 are prime factors of 813.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 813 are (1, 813) and (3, 271).
- Negative factors: Numbers that are the negatives of the positive factors. For example, -1, -3, -271, -813 are negative factors of 813.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 813 is 3 × 271.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 813
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.
