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: 17¹ × 31¹
• 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

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.

Similarly we can find other factors. Hence, the factors of 527 are 1, 17, 31, 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

The number 527 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 527. The first step is to divide the number 527 with the smallest prime factor, here it is 17. We keep dividing until it gives a non-zero remainder.

• 527 ÷ 17 = 31

Further dividing 31 by 17 gives a non-zero 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 17¹ × 31¹ where 17, 31 are prime.

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.