Factors of 529 are the list of integers that we can split evenly into 529. There are total 3 factors of 529 i.e. 1, 23, 529. The sum of all factors of 529 is 553. Its Prime Factors are 23 and (1, 529), (23, 23) are Pair Factors.

• All Factors of 529: 1, 23 and 529
• Negative Factors of 529: -1, -23 and -529
• Prime Factors of 529: 23
• Prime Factorization of 529: 23²
• Sum of Factors of 529: 553

1.	What Are the Factors of 529?
2.	Factors of 529 by Prime Factorization
3.	Factors of 529 in Pairs
4.	FAQs on Factors of 529

Factors of 529 are pairs of those numbers whose products result in 529. These factors are either prime numbers or composite numbers.

How to Find the Factors of 529?

To find the factors of 529, we will have to find the list of numbers that would divide 529 without leaving any remainder.

• 529/23 = 23; therefore, 23 is a factor of 529.
• 529/1 = 529; therefore, 1 is a factor of 529 and 529 is also a factor of 529.

Similarly we can find other factors. Hence, the factors of 529 are 1, 23, 529.

☛ Also Check:

• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 21 - The factors of 21 are 1, 3, 7, 21
• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45

The number 529 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 529. The first step is to divide the number 529 with the smallest prime factor, here it is 23. We keep dividing until it gives a non-zero remainder.

• 529 ÷ 23 = 23
• 23 ÷ 23 = 1

Further dividing 1 by 23 gives a non-zero remainder. So we stop the process and continue dividing the number 1 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.

Since, we can't divide any further in this case so we stop.

So, the prime factorization of 529 is 23².

Pair factors of 529 are the pairs of numbers that when multiplied give the product 529. The factors of 529 in pairs are:

• 1 × 529 = (1, 529)
• 23 × 23 = (23, 23)

Negative pair factors of 529 are:

• -1 × -529 = (-1, -529)
• -23 × -23 = (-23, -23)

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