Factors of 518 are integers that can be divided evenly into 518. There are total 8 factors of 518 i.e. 1, 2, 7, 14, 37, 74, 259, 518. The sum of all factors of 518 is 912 and its factors in Pairs are (1, 518), (2, 259), (7, 74), (14, 37).

• All Factors of 518: 1, 2, 7, 14, 37, 74, 259 and 518
• Negative Factors of 518: -1, -2, -7, -14, -37, -74, -259 and -518
• Prime Factors of 518: 2, 7, 37
• Prime Factorization of 518: 2¹ × 7¹ × 37¹
• Sum of Factors of 518: 912

1.	What Are the Factors of 518?
2.	Factors of 518 by Prime Factorization
3.	Factors of 518 in Pairs
4.	FAQs on Factors of 518

Factors of 518 are pairs of those numbers whose products result in 518. These factors are either prime numbers or composite numbers.

How to Find the Factors of 518?

To find the factors of 518, we will have to find the list of numbers that would divide 518 without leaving any remainder.

• 518/259 = 2; therefore, 259 is a factor of 518 and 2 is also a factor of 518.
• 518/37 = 14; therefore, 37 is a factor of 518 and 14 is also a factor of 518.

Similarly we can find other factors. Hence, the factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518.

☛ Also Check:

• Factors of 5 - The factors of 5 are 1, 5
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 14 - The factors of 14 are 1, 2, 7, 14

The number 518 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 518. The first step is to divide the number 518 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 518 ÷ 2 = 259

Further dividing 259 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 259 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 518 can be written as 2¹ × 7¹ × 37¹ where 2, 7, 37 are prime.

Pair factors of 518 are the pairs of numbers that when multiplied give the product 518. The factors of 518 in pairs are:

• 1 × 518 = (1, 518)
• 2 × 259 = (2, 259)
• 7 × 74 = (7, 74)
• 14 × 37 = (14, 37)

Negative pair factors of 518 are:

• -1 × -518 = (-1, -518)
• -2 × -259 = (-2, -259)
• -7 × -74 = (-7, -74)
• -14 × -37 = (-14, -37)

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