Factors of 306 are integers that can be divided evenly into 306. There are overall 12 factors of 306, of which 2, 3, 17 are its prime factors. The Prime Factorization of 306 is 2¹ × 3² × 17¹.

• All Factors of 306: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153 and 306
• Prime Factors of 306: 2, 3, 17
• Prime Factorization of 306: 2¹ × 3² × 17¹
• Sum of Factors of 306: 702

1.	What Are the Factors of 306?
2.	Factors of 306 by Prime Factorization
3.	Factors of 306 in Pairs
4.	FAQs on Factors of 306

Factors of 306 are pairs of those numbers whose products result in 306. These factors are either prime numbers or composite numbers.

How to Find the Factors of 306?

To find the factors of 306, we will have to find the list of numbers that would divide 306 without leaving any remainder.

• 306/51 = 6; therefore, 51 is a factor of 306 and 6 is also a factor of 306.
• 306/102 = 3; therefore, 102 is a factor of 306 and 3 is also a factor of 306.

Similarly we can find other factors. Hence, the factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306.

☛ Also Check:

• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 17 - The factors of 17 are 1, 17
• 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 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
• Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44

The number 306 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 306. The first step is to divide the number 306 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 306 ÷ 2 = 153

Further dividing 153 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 153 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 306 can be written as 2¹ × 3² × 17¹ where 2, 3, 17 are prime.

Pair factors of 306 are the pairs of numbers that when multiplied give the product 306. The factors of 306 in pairs are:

• 1 × 306 = (1, 306)
• 2 × 153 = (2, 153)
• 3 × 102 = (3, 102)
• 6 × 51 = (6, 51)
• 9 × 34 = (9, 34)
• 17 × 18 = (17, 18)

Negative pair factors of 306 are:

• -1 × -306 = (-1, -306)
• -2 × -153 = (-2, -153)
• -3 × -102 = (-3, -102)
• -6 × -51 = (-6, -51)
• -9 × -34 = (-9, -34)
• -17 × -18 = (-17, -18)

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