Factors of 319 are integers that can be divided evenly into 319. It has a total of 4 factors of which 319 is the biggest factor and the positive factors of 319 are 1, 11, 29, 319. The sum of all factors of 319 is 360. Its Prime Factors are 11 × 29 and (1, 319), (11, 29) are Pair Factors.

• All Factors of 319: 1, 11, 29 and 319
• Negative Factors of 319: -1, -11, -29 and -319
• Prime Factors of 319: 11, 29
• Prime Factorization of 319: 11¹ × 29¹
• Sum of Factors of 319: 360

1.	What Are the Factors of 319?
2.	Factors of 319 by Prime Factorization
3.	Factors of 319 in Pairs
4.	FAQs on Factors of 319

Factors of 319 are pairs of those numbers whose products result in 319. These factors are either prime numbers or composite numbers.

How to Find the Factors of 319?

To find the factors of 319, we will have to find the list of numbers that would divide 319 without leaving any remainder.

• 319/29 = 11; therefore, 29 is a factor of 319 and 11 is also a factor of 319.
• 319/319 = 1; therefore, 319 is a factor of 319 and 1 is also a factor of 319.

Similarly we can find other factors. Hence, the factors of 319 are 1, 11, 29, 319.

☛ Also Check:

• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 17 - The factors of 17 are 1, 17
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 49 - The factors of 49 are 1, 7, 49

The number 319 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 319. The first step is to divide the number 319 with the smallest prime factor, here it is 11. We keep dividing until it gives a non-zero remainder.

• 319 ÷ 11 = 29

Further dividing 29 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 29 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 319 can be written as 11¹ × 29¹ where 11, 29 are prime.

Pair factors of 319 are the pairs of numbers that when multiplied give the product 319. The factors of 319 in pairs are:

• 1 × 319 = (1, 319)
• 11 × 29 = (11, 29)

Negative pair factors of 319 are:

• -1 × -319 = (-1, -319)
• -11 × -29 = (-11, -29)

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