Factors of 527
Factors of 527 are the list of integers that can be evenly divided into 527. There are 4 factors of 527 of which 527 itself is the biggest factor and its positive factors are 1, 17, 31, 527. The Pair Factors of 527 are (1, 527), (17, 31) and its Prime Factors are 17 × 31.
 All Factors of 527: 1, 17, 31 and 527
 Negative Factors of 527: 1, 17, 31 and 527
 Prime Factors of 527: 17, 31
 Prime Factorization of 527: 17^{1} × 31^{1}
 Sum of Factors of 527: 576
1.  What Are the Factors of 527? 
2.  Factors of 527 by Prime Factorization 
3.  Factors of 527 in Pairs 
4.  FAQs on Factors of 527 
What are Factors of 527?
Factors of 527 are pairs of those numbers whose products result in 527. These factors are either prime numbers or composite numbers.
How to Find the Factors of 527?
To find the factors of 527, we will have to find the list of numbers that would divide 527 without leaving any remainder.
 527/31 = 17; therefore, 31 is a factor of 527 and 17 is also a factor of 527.
 527/527 = 1; therefore, 527 is a factor of 527 and 1 is also a factor of 527.
☛ Also Check:
 Factors of 54  The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
 Factors of 38  The factors of 38 are 1, 2, 19, 38
 Factors of 128  The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
 Factors of 22  The factors of 22 are 1, 2, 11, 22
 Factors of 33  The factors of 33 are 1, 3, 11, 33
Factors of 527 by Prime Factorization
 527 ÷ 17 = 31
Further dividing 31 by 17 gives a nonzero remainder. So we stop the process and continue dividing the number 31 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 527 can be written as 17^{1} × 31^{1} where 17, 31 are prime.
Factors of 527 in Pairs
Pair factors of 527 are the pairs of numbers that when multiplied give the product 527. The factors of 527 in pairs are:
 1 × 527 = (1, 527)
 17 × 31 = (17, 31)
Negative pair factors of 527 are:
 1 × 527 = (1, 527)
 17 × 31 = (17, 31)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 527 Solved Examples

Example 1: How many factors are there for 527?
Solution:
The factors of 527 are 1, 17, 31, 527. Therefore, 527 has 4 factors.

Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 527 and 144.
Solution:
The factors of 527 are 1, 17, 31, 527 and factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
Therefore, the Least Common Multiple (LCM) of 527 and 144 is 75888 and Greatest Common Divisor (GCD) of 527 and 144 is 1. 
Example 3: Find if 1, 129 and 527 are factors of 527.
Solution:
When we divide 527 by 129 it leaves a remainder. Therefore, the number 129 is not a factor of 527. All numbers except 129 are factors of 527.

Example 4: Find the product of all the prime factors of 527.
Solution:
Since, the prime factors of 527 are 17, 31. Therefore, the product of prime factors = 17 × 31 = 527.
FAQs on Factors of 527
What are the Factors of 527?
The factors of 527 are 1, 17, 31, 527 and its negative factors are 1, 17, 31, 527.
What is the Sum of all Factors of 527?
Factors of 527 are 1, 17, 31, 527 and, the sum of all these factors is 1 + 17 + 31 + 527 = 576
What numbers are the Pair Factors of 527?
The pair factors of 527 are (1, 527), (17, 31).
What is the Greatest Common Factor of 527 and 122?
The factors of 527 are 1, 17, 31, 527 and the factors of 122 are 1, 2, 61, 122. 527 and 122 have only one common factor which is 1. This implies that 527 and 122 are coprime.
Hence, the Greatest Common Factor (GCF) of 527 and 122 is 1.
What are the Common Factors of 527 and 470?
Since, the factors of 527 are 1, 17, 31, 527 and factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. Hence, 527 and 470 have only one common factor which is 1. Therefore, 527 and 470 are coprime.
visual curriculum