Factors of 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:

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.

Frequently Asked Questions

• 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