Factors of 259 are the list of integers that can be evenly divided into 259. There are overall 4 factors of 259 among which 259 is the biggest factor and 1, 7, 37, 259 are positive factors. The sum of all factors of 259 is 304. Its Prime Factors are 7 × 37 and (1, 259), (7, 37) are Pair Factors.

• All Factors of 259: 1, 7, 37 and 259
• Negative Factors of 259: -1, -7, -37 and -259
• Prime Factors of 259: 7, 37
• Prime Factorization of 259: 7¹ × 37¹
• Sum of Factors of 259: 304

1.	What Are the Factors of 259?
2.	Factors of 259 by Prime Factorization
3.	Factors of 259 in Pairs
4.	FAQs on Factors of 259

Factors of 259 are pairs of those numbers whose products result in 259. These factors are either prime numbers or composite numbers.

How to Find the Factors of 259?

To find the factors of 259, we will have to find the list of numbers that would divide 259 without leaving any remainder.

• 259/7 = 37; therefore, 7 is a factor of 259 and 37 is also a factor of 259.
• 259/1 = 259; therefore, 1 is a factor of 259 and 259 is also a factor of 259.

Similarly we can find other factors. Hence, the factors of 259 are 1, 7, 37, 259.

☛ Also Check:

• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 15 - The factors of 15 are 1, 3, 5, 15

The number 259 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 259. The first step is to divide the number 259 with the smallest prime factor, here it is 7. We keep dividing until it gives a non-zero remainder.

• 259 ÷ 7 = 37

Further dividing 37 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 37 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 259 can be written as 7¹ × 37¹ where 7, 37 are prime.

Pair factors of 259 are the pairs of numbers that when multiplied give the product 259. The factors of 259 in pairs are:

• 1 × 259 = (1, 259)
• 7 × 37 = (7, 37)

Negative pair factors of 259 are:

• -1 × -259 = (-1, -259)
• -7 × -37 = (-7, -37)

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