Factors of 271

Factors of 271 are numbers that, when multiplied in pairs give the product as 271. There are total 2 factors of 271 i.e. 1, 271. The Pair Factors of 271 are (1, 271) and its Prime Factors is 271.

All Factors of 271: 1 and 271
Negative Factors of 271: -1 and -271
Prime Factors of 271: 271
Prime Factorization of 271: 271¹
Sum of Factors of 271: 272

1.	What Are the Factors of 271?
2.	Factors of 271 by Prime Factorization
3.	Factors of 271 in Pairs
4.	FAQs on Factors of 271

What are Factors of 271?

Factors of 271 are pairs of those numbers whose products result in 271. These factors are either prime numbers or composite numbers.

How to Find the Factors of 271?

To find the factors of 271, we will have to find the list of numbers that would divide 271 without leaving any remainder.

271/1 = 271; therefore, 1 is a factor of 271.
271/271 = 1; therefore, 271 is a factor of 271.

Hence, the factors of 271 are 1, 271.

☛ Also Check:

Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
Factors of 15 - The factors of 15 are 1, 3, 5, 15

Factors of 271 by Prime Factorization

The number 271 is prime and therefore its factors are only the numbers 1 and 271 itself. Hence, it has only one prime factor that is the number itself, i.e. 271.

So, the prime factorization of 271 can be written as 271¹ where 271 is prime.

Factors of 271 in Pairs

Pair factors of 271 are the pairs of numbers that when multiplied give the product 271. The factors of 271 in pairs are:

1 × 271 = (1, 271)

Negative pair factors of 271 are:

-1 × -271 = (-1, -271)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 271 Solved Examples

Example 1: How many factors are there for 271?

Solution:

The factors of 271 are 1, 271. Therefore, 271 has 2 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 271 and 128.

Solution:

The factors of 271 are 1, 271 and factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128.

Therefore, the Lowest Common Multiple (LCM) of 271 and 128 is 34688 and Greatest Common Divisor (GCD) of 271 and 128 is 1.
Example 3: Find if 111 and 271 are factors of 271.

Solution:

When we divide 271 by 111 it leaves a remainder. Therefore, the number 111 is not a factor of 271. All numbers except 111 are factors of 271.
Example 4: Find the product of all the factors of 271.

Solution:

Since, the factors of 271 are 1, 271. Therefore, the product of factors = 1 × 271 = 271.

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FAQs on Factors of 271

What are the Factors of 271?

The factors of 271 are 1, 271 and its negative factors are -1, -271.

What is the Sum of all the Factors of 271?

All the Factors of 271 are 1, 271 and therefore the sum of all these factors is 1 + 271 = 272

What are Pair Factors of 271?

The pair factors of 271 are (1, 271).

What is the Greatest Common Factor of 271 and 36?

The factors of 271 are 1, 271 and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. 271 and 36 have only one common factor which is 1. This implies that 271 and 36 are co-prime.

Hence, the Greatest Common Factor (GCF) of 271 and 36 is 1.

How Many Factors of 271 are also common to the Factors of 66?

Since, the factors of 271 are 1, 271 and factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. Hence, 271 and 66 have only one common factor which is 1. Therefore, 271 and 66 are co-prime.

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