Factors of 274
Factors of 274 are the list of integers that we can split evenly into 274. It has a total of 4 factors of which 274 is the biggest factor and the positive factors of 274 are 1, 2, 137, 274. The Pair Factors of 274 are (1, 274), (2, 137) and its Prime Factors are 2 × 137.
 All Factors of 274: 1, 2, 137 and 274
 Negative Factors of 274: 1, 2, 137 and 274
 Prime Factors of 274: 2, 137
 Prime Factorization of 274: 2^{1} × 137^{1}
 Sum of Factors of 274: 414
1.  What Are the Factors of 274? 
2.  Factors of 274 by Prime Factorization 
3.  Factors of 274 in Pairs 
4.  FAQs on Factors of 274 
What are Factors of 274?
Factors of 274 are pairs of those numbers whose products result in 274. These factors are either prime numbers or composite numbers.
How to Find the Factors of 274?
To find the factors of 274, we will have to find the list of numbers that would divide 274 without leaving any remainder.
 274/137 = 2; therefore, 137 is a factor of 274 and 2 is also a factor of 274.
 274/274 = 1; therefore, 274 is a factor of 274 and 1 is also a factor of 274.
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Factors of 274 by Prime Factorization
 274 ÷ 2 = 137
Further dividing 137 by 2 gives a nonzero remainder. So we stop the process and continue dividing the number 137 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 274 can be written as 2^{1} × 137^{1} where 2, 137 are prime.
Factors of 274 in Pairs
Pair factors of 274 are the pairs of numbers that when multiplied give the product 274. The factors of 274 in pairs are:
 1 × 274 = (1, 274)
 2 × 137 = (2, 137)
Negative pair factors of 274 are:
 1 × 274 = (1, 274)
 2 × 137 = (2, 137)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 274 Solved Examples

Example 1: How many factors are there for 274?
Solution:
The factors of 274 are 1, 2, 137, 274. Therefore, 274 has 4 factors.

Example 2: Find the LCM and Greatest Common Divisor (GCD) of 274 and 201.
Solution:
The factors of 274 are 1, 2, 137, 274 and factors of 201 are 1, 3, 67, 201.
Therefore, the LCM of 274 and 201 is 55074 and Greatest Common Divisor (GCD) of 274 and 201 is 1. 
Example 3: Find if 1, 169 and 274 are factors of 274.
Solution:
When we divide 274 by 169 it leaves a remainder. Therefore, the number 169 is not a factor of 274. All numbers except 169 are factors of 274.

Example 4: Find the product of all the prime factors of 274.
Solution:
Since, the prime factors of 274 are 2, 137. Therefore, the product of prime factors = 2 × 137 = 274.
FAQs on Factors of 274
What are the Factors of 274?
The factors of 274 are 1, 2, 137, 274 and its negative factors are 1, 2, 137, 274.
What is the Sum of the Factors of 274?
Factors of 274 are 1, 2, 137, 274 and, the sum of all these factors is 1 + 2 + 137 + 274 = 414
What are Prime Factors of 274?
The prime factors of 274 are 2, 137.
What is the Greatest Common Factor of 274 and 253?
The factors of 274 are 1, 2, 137, 274 and the factors of 253 are 1, 11, 23, 253. 274 and 253 have only one common factor which is 1. This implies that 274 and 253 are coprime.
Hence, the Greatest Common Factor (GCF) of 274 and 253 is 1.
What are the Common Factors of 274 and 95?
Since, the factors of 274 are 1, 2, 137, 274 and factors of 95 are 1, 5, 19, 95. Hence, 274 and 95 have only one common factor which is 1. Therefore, 274 and 95 are coprime.