Factors of 309 are integers that can be divided evenly into 309. There are overall 4 factors of 309 i.e. 1, 3, 103, 309 where 309 is the biggest factor. The Prime Factors of 309 are 3 × 103 and its Factors in Pairs are (1, 309), (3, 103).

• All Factors of 309: 1, 3, 103 and 309
• Negative Factors of 309: -1, -3, -103 and -309
• Prime Factors of 309: 3, 103
• Prime Factorization of 309: 3¹ × 103¹
• Sum of Factors of 309: 416

1.	What Are the Factors of 309?
2.	Factors of 309 by Prime Factorization
3.	Factors of 309 in Pairs
4.	FAQs on Factors of 309

Factors of 309 are pairs of those numbers whose products result in 309. These factors are either prime numbers or composite numbers.

How to Find the Factors of 309?

To find the factors of 309, we will have to find the list of numbers that would divide 309 without leaving any remainder.

• 309/103 = 3; therefore, 103 is a factor of 309 and 3 is also a factor of 309.
• 309/309 = 1; therefore, 309 is a factor of 309 and 1 is also a factor of 309.

Similarly we can find other factors. Hence, the factors of 309 are 1, 3, 103, 309.

☛ Also Check:

• Factors of 21 - The factors of 21 are 1, 3, 7, 21
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 11 - The factors of 11 are 1, 11
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 34 - The factors of 34 are 1, 2, 17, 34

The number 309 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 309. The first step is to divide the number 309 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 309 ÷ 3 = 103

Further dividing 103 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 103 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 309 can be written as 3¹ × 103¹ where 3, 103 are prime.

Pair factors of 309 are the pairs of numbers that when multiplied give the product 309. The factors of 309 in pairs are:

• 1 × 309 = (1, 309)
• 3 × 103 = (3, 103)

Negative pair factors of 309 are:

• -1 × -309 = (-1, -309)
• -3 × -103 = (-3, -103)

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