# Factors of 311

Factors of 311 are 1 and 311

#### How to find factors of a number

 1.   Find factors of 311 using Division Method 2.   Find factors of 311 using Prime Factorization 3.   Find factors of 311 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 311

• Divide 311 by 1: 311 ÷ 1 : Remainder = 0
• Divide 311 by 311: 311 ÷ 311 : Remainder = 0

Hence, Factors of 311 are 1 and 311

#### 2. Steps to find factors of 311 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 311 using the division method, follow these steps:

• Step 1. Start dividing 311 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 311, which is 311. Divide 311 by 311 to obtain the quotient (1).
311 ÷ 311 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 311 is, 311 = 311.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 311 as shown below:

So, the prime factorization of 311 is, 311 = 311.

#### 3. Find factors of 311 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 311 would be the two numbers which, when multiplied, give 311 as the result.

The following table represents the calculation of factors of 311 in pairs:

Factor Pair Pair Factorization
1 and 311 1 x 311 = 311

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 311. They are called negative pair factors.

Hence, the negative pairs of 311 would be ( -1 , -311 ) , .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 311 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 311 are exact divisors of 311.
• Factors of 311 are 1, 311. Each factor divides 311 without leaving a remainder.

• What are the pair factors of 311?

Pair factors of 311 are (1,311).

• What are five multiples of 311?

First five multiples of 311 are 622, 933, 1244, 1555, 1866.

• What two numbers make 311?

Two numbers that make 311 are 311 and 1.

• What is the sum of all factors of 311?

The sum of all factors of 311 is 312.

• What are factors of -311?

Factors of -311 are -1, -311.

• What are factors of 311?

Factors of 311 are 1, 311.

• Is 311 a perfect square?

No 311 is not a perfect square.

• Which is the smallest prime factor of 311?

Smallest prime factor of 311 is 311.

• Which is greatest factor of 311?

The greatest factor of 311 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 311?

Factors of 311 are 1, 311.
Odd factors of 311 are 1, 311.
Hence product of odd factors of 311 is; 1 x 311 = 311.

Joey wants to write all the prime factors of 311 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 311 are 311.
So in exponential form it can be written as 311.

How many factors are there for 311?

Factors of 311 are 1, 311.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 311. Can you predict the answer?

1 factor(s) of 311 is 1.

Sammy is puzzled while calculating the prime factors of 311. Can you help him find them?

Factors of 311 are 1, 311.
Prime factors of 311 are 311

What is prime factorization of 311?

Prime factorization of 311 is 311 = 311.

Can you help Rubel to find out the product of the even factors of 311?

Factors of 311 are 1, 311.
Even factors of 311 are 0.
Hence, product of even factors of 311 is; 0 = 0.