Factors of 2304 are the list of integers that can be evenly divided into 2304. There are overall 27 factors of 2304 among which 2304 is the biggest factor and its prime factors are 2, 3. The sum of all factors of 2304 is 6643.

• All Factors of 2304: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304
• Prime Factors of 2304: 2, 3
• Prime Factorization of 2304: 2⁸ × 3²
• Sum of Factors of 2304: 6643

1.	What Are the Factors of 2304?
2.	Factors of 2304 by Prime Factorization
3.	Factors of 2304 in Pairs
4.	FAQs on Factors of 2304

Factors of 2304 are pairs of those numbers whose products result in 2304. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2304?

To find the factors of 2304, we will have to find the list of numbers that would divide 2304 without leaving any remainder.

• 2304/24 = 96; therefore, 24 is a factor of 2304 and 96 is also a factor of 2304.
• 2304/64 = 36; therefore, 64 is a factor of 2304 and 36 is also a factor of 2304.

Similarly we can find other factors. Hence, the factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304.

☛ Also Check:

• Factors of 19 - The factors of 19 are 1, 19
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 29 - The factors of 29 are 1, 29
• 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

The number 2304 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2304. The first step is to divide the number 2304 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 2304 ÷ 2 = 1152
• 1152 ÷ 2 = 576
• 576 ÷ 2 = 288
• 288 ÷ 2 = 144
• 144 ÷ 2 = 72
• 72 ÷ 2 = 36
• 36 ÷ 2 = 18
• 18 ÷ 2 = 9

Further dividing 9 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 9 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 2304 can be written as 2⁸ × 3² where 2, 3 are prime.

Pair factors of 2304 are the pairs of numbers that when multiplied give the product 2304. The factors of 2304 in pairs are:

• 1 × 2304 = (1, 2304)
• 2 × 1152 = (2, 1152)
• 3 × 768 = (3, 768)
• 4 × 576 = (4, 576)
• 6 × 384 = (6, 384)
• 8 × 288 = (8, 288)
• 9 × 256 = (9, 256)
• 12 × 192 = (12, 192)
• 16 × 144 = (16, 144)
• 18 × 128 = (18, 128)
• 24 × 96 = (24, 96)
• 32 × 72 = (32, 72)
• 36 × 64 = (36, 64)
• 48 × 48 = (48, 48)

Negative pair factors of 2304 are:

• -1 × -2304 = (-1, -2304)
• -2 × -1152 = (-2, -1152)
• -3 × -768 = (-3, -768)
• -4 × -576 = (-4, -576)
• -6 × -384 = (-6, -384)
• -8 × -288 = (-8, -288)
• -9 × -256 = (-9, -256)
• -12 × -192 = (-12, -192)
• -16 × -144 = (-16, -144)
• -18 × -128 = (-18, -128)
• -24 × -96 = (-24, -96)
• -32 × -72 = (-32, -72)
• -36 × -64 = (-36, -64)
• -48 × -48 = (-48, -48)

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