Factors of 502
Factors of 502 are numbers that, when multiplied in pairs give the product as 502. There are 4 factors of 502, which are 1, 2, 251, 502. Here, 502 is the biggest factor. The sum of all factors of 502 is 756. Its Prime Factors are 2 × 251 and (1, 502), (2, 251) are Pair Factors.
 All Factors of 502: 1, 2, 251 and 502
 Negative Factors of 502: 1, 2, 251 and 502
 Prime Factors of 502: 2, 251
 Prime Factorization of 502: 2^{1} × 251^{1}
 Sum of Factors of 502: 756
1.  What Are the Factors of 502? 
2.  Factors of 502 by Prime Factorization 
3.  Factors of 502 in Pairs 
4.  FAQs on Factors of 502 
What are Factors of 502?
Factors of 502 are pairs of those numbers whose products result in 502. These factors are either prime numbers or composite numbers.
How to Find the Factors of 502?
To find the factors of 502, we will have to find the list of numbers that would divide 502 without leaving any remainder.
 502/251 = 2; therefore, 251 is a factor of 502 and 2 is also a factor of 502.
 502/502 = 1; therefore, 502 is a factor of 502 and 1 is also a factor of 502.
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Factors of 502 by Prime Factorization
 502 ÷ 2 = 251
Further dividing 251 by 2 gives a nonzero remainder. So we stop the process and continue dividing the number 251 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 502 can be written as 2^{1} × 251^{1} where 2, 251 are prime.
Factors of 502 in Pairs
Pair factors of 502 are the pairs of numbers that when multiplied give the product 502. The factors of 502 in pairs are:
 1 × 502 = (1, 502)
 2 × 251 = (2, 251)
Negative pair factors of 502 are:
 1 × 502 = (1, 502)
 2 × 251 = (2, 251)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 502 Solved Examples

Example 1: How many factors are there for 502?
Solution:
The factors of 502 are 1, 2, 251, 502. Therefore, 502 has 4 factors.

Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 502 and 459.
Solution:
The factors of 502 are 1, 2, 251, 502 and factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459.
Therefore, the Lowest Common Multiple (LCM) of 502 and 459 is 230418 and Greatest Common Factor (GCF) of 502 and 459 is 1. 
Example 3: Find if 1, 2 and 253 are factors of 502.
Solution:
When we divide 502 by 253 it leaves a remainder. Therefore, the number 253 is not a factor of 502. All numbers except 253 are factors of 502.

Example 4: Find the product of all the prime factors of 502.
Solution:
Since, the prime factors of 502 are 2, 251. Therefore, the product of prime factors = 2 × 251 = 502.
FAQs on Factors of 502
What are the Factors of 502?
The factors of 502 are 1, 2, 251, 502 and its negative factors are 1, 2, 251, 502.
What is the Sum of all Factors of 502?
Factors of 502 are 1, 2, 251, 502 and, the sum of all these factors is 1 + 2 + 251 + 502 = 756
What numbers are the Pair Factors of 502?
The pair factors of 502 are (1, 502), (2, 251).
What is the Greatest Common Factor of 502 and 218?
The factors of 502 and 218 are 1, 2, 251, 502 and 1, 2, 109, 218 respectively.
Common factors of 502 and 218 are [1, 2].
Hence, the Greatest Common Factor (GCF) of 502 and 218 is 2.
How Many Factors of 502 are also common to the Factors of 292?
Since, the factors of 502 are 1, 2, 251, 502 and the factors of 292 are 1, 2, 4, 73, 146, 292.
Hence, [1, 2] are the common factors of 502 and 292.
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