106 LearnersLast updated on May 26th, 2025
Factors of 311
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 311, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 311?
The numbers that divide 311 evenly are known as factors of 311.
A factor of 311 is a number that divides the number without remainder.
The factors of 311 are 1 and 311.
Negative factors of 311: -1 and -311.
Prime factors of 311: 311.
Prime factorization of 311: 311 is a prime number itself.
The sum of factors of 311: 1 + 311 = 312
How to Find Factors of 311?
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 311. Identifying the numbers which are multiplied to get the number 311 is the multiplication method.
Step 1: Multiply 311 by 1, 311 × 1 = 311.
Step 2: Check for other numbers that give 311 after multiplying. Since 311 is a prime number, the only multiplication pair is (1, 311).
Therefore, the positive factor pairs of 311 are: (1, 311).
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 311 by 1, 311 ÷ 1 = 311.
Step 2: Continue dividing 311 by other numbers, but since it is a prime number, it can only be divided evenly by 1 and 311.
Therefore, the factors of 311 are: 1 and 311.
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, since 311 is a prime number, it cannot be broken down further into other prime factors.
Thus, the prime factorization of 311 is itself: 311.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 311 is a prime number, it does not have a factor tree beyond itself.
Therefore, the prime factorization of 311 is simply: 311.
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 pairs of 311: (1, 311).
Negative factor pairs of 311: (-1, -311).
Common Mistakes and How to Avoid Them in Factors of 311
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
People 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 311, 1 and 311 are also factors.
Factors of 311 Examples
Problem 1
There are 311 pages in a book and 1 reader. How will they divide the pages to read?
The reader will read all 311 pages.
Explanation
Since there is only 1 reader, they will read all the pages.
311/1 = 311
Problem 2
A museum has 311 paintings and one wall to display them. How will they arrange the paintings?
All 311 paintings will be arranged on the wall.
Explanation
Since there is only one wall, all paintings will be placed there.
311/1 = 311
Problem 3
A teacher has 311 stickers and 311 students. How many stickers will each student get?
Each student will get 1 sticker.
Explanation
To find the stickers each student gets, divide the total stickers by the number of students.
311/311 = 1
Problem 4
There are 311 chairs in a hall and only one event. How many chairs will be used for the event?
All 311 chairs will be used for the event.
Explanation
Since there is only one event, all chairs will be used.
311/1 = 311
Problem 5
A library has 311 books and 1 shelf. How many books will go on the shelf?
All 311 books will go on the shelf.
Explanation
Since there is only one shelf, all books will be placed there. 311/1 = 311
FAQs on Factors of 311
1.What are the factors of 311?
2.Mention the prime factors of 311.
3.Is 311 a multiple of 2?
4.Mention the factor pairs of 311?
5.What is the square of 311?
Important Glossaries for Factor of 311
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 311 are 1 and 311.
- Prime factors: The factors which are prime numbers. For example, 311 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 311 is (1, 311).
- Prime number: A number that has no positive divisors other than 1 and itself. For example, 311 is a prime number.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1 and -311 are negative factors of 311.
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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.
