# Factors of 271

Factors of 271 are 1 and 271

#### How to find factors of a number

 1.   Find factors of 271 using Division Method 2.   Find factors of 271 using Prime Factorization 3.   Find factors of 271 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 271

• Divide 271 by 1: 271 ÷ 1 : Remainder = 0
• Divide 271 by 271: 271 ÷ 271 : Remainder = 0

Hence, Factors of 271 are 1 and 271

#### 2. Steps to find factors of 271 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 271 using the division method, follow these steps:

• Step 1. Start dividing 271 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 271, which is 271. Divide 271 by 271 to obtain the quotient (1).
271 ÷ 271 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 271 is, 271 = 271.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 271 as shown below:

So, the prime factorization of 271 is, 271 = 271.

#### 3. Find factors of 271 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 271 would be the two numbers which, when multiplied, give 271 as the result.

The following table represents the calculation of factors of 271 in pairs:

Factor Pair Pair Factorization
1 and 271 1 x 271 = 271

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 271. They are called negative pair factors.

Hence, the negative pairs of 271 would be ( -1 , -271 ) , .

#### 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 271 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, 271 are exact divisors of 271.
• Factors of 271 are 1, 271. Each factor divides 271 without leaving a remainder.

• What are the prime factors of 271?

The factors of 271 are 1, 271.
Prime factors of 271 are 271.

• What is the sum of all factors of 271?

The sum of all factors of 271 is 272.

• What are the pair factors of 271?

Pair factors of 271 are (1,271).

• What two numbers make 271?

Two numbers that make 271 are 271 and 1.

• What are multiples of 271?

First five multiples of 271 are 542, 813, 1084, 1355.

• Is 271 a perfect square?

No 271 is not a perfect square.

• Which is greatest factor of 271?

The greatest factor of 271 is 1.

• How do you factors of 271?

Factors of 271 are 1, 271.

• What are five multiples of 271?

First five multiples of 271 are 542, 813, 1084, 1355, 1626.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 271?

Factors of 271 are 1, 271.
Even factors of 271 are 0.
Hence, product of even factors of 271 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 271? Help her in writing all the factors.

Positive factors are 1, 271.
Negative factors are -1, -271.

How many factors are there for 271?

Factors of 271 are 1, 271.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 271. Can you help him find them?

Factors of 271 are 1, 271.
Prime factors of 271 are 271

Joey wants to write all the prime factors of 271 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 271 are 271.
So in exponential form it can be written as 271.

What is prime factorization of 271?

Prime factorization of 271 is 271 = 271.

Can you help Rubel to find out the product of the even factors of 271?

Factors of 271 are 1, 271.
Even factors of 271 are 0.
Hence, product of even factors of 271 is; 0 = 0.