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

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

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.

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.

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.

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).

• 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.