Factors of 312 are integers that can be divided evenly into 312. It has total 16 factors of which 312 is the biggest factor and the prime factors of 312 are 2, 3, 13. The Prime Factorization of 312 is 2³ × 3¹ × 13¹.

• All Factors of 312: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156 and 312
• Prime Factors of 312: 2, 3, 13
• Prime Factorization of 312: 2³ × 3¹ × 13¹
• Sum of Factors of 312: 840

1.	What Are the Factors of 312?
2.	Factors of 312 by Prime Factorization
3.	Factors of 312 in Pairs
4.	FAQs on Factors of 312

Factors of 312 are pairs of those numbers whose products result in 312. These factors are either prime numbers or composite numbers.

How to Find the Factors of 312?

To find the factors of 312, we will have to find the list of numbers that would divide 312 without leaving any remainder.

• 312/24 = 13; therefore, 24 is a factor of 312 and 13 is also a factor of 312.
• 312/3 = 104; therefore, 3 is a factor of 312 and 104 is also a factor of 312.

Similarly we can find other factors. Hence, the factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.

☛ Also Check:

• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
• Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The number 312 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 312. The first step is to divide the number 312 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 312 ÷ 2 = 156
• 156 ÷ 2 = 78
• 78 ÷ 2 = 39

Further dividing 39 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 39 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 312 can be written as 2³ × 3¹ × 13¹ where 2, 3, 13 are prime.

Pair factors of 312 are the pairs of numbers that when multiplied give the product 312. The factors of 312 in pairs are:

• 1 × 312 = (1, 312)
• 2 × 156 = (2, 156)
• 3 × 104 = (3, 104)
• 4 × 78 = (4, 78)
• 6 × 52 = (6, 52)
• 8 × 39 = (8, 39)
• 12 × 26 = (12, 26)
• 13 × 24 = (13, 24)

Negative pair factors of 312 are:

• -1 × -312 = (-1, -312)
• -2 × -156 = (-2, -156)
• -3 × -104 = (-3, -104)
• -4 × -78 = (-4, -78)
• -6 × -52 = (-6, -52)
• -8 × -39 = (-8, -39)
• -12 × -26 = (-12, -26)
• -13 × -24 = (-13, -24)

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