Factors of 3072 are numbers that, when multiplied in pairs give the product as 3072. There are 22 factors of 3072, of which the following are its prime factors 2, 3. The sum of all factors of 3072 is 8188.

• All Factors of 3072: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536 and 3072
• Prime Factors of 3072: 2, 3
• Prime Factorization of 3072: 2¹⁰ × 3¹
• Sum of Factors of 3072: 8188

1.	What Are the Factors of 3072?
2.	Factors of 3072 by Prime Factorization
3.	Factors of 3072 in Pairs
4.	FAQs on Factors of 3072

Factors of 3072 are pairs of those numbers whose products result in 3072. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3072?

To find the factors of 3072, we will have to find the list of numbers that would divide 3072 without leaving any remainder.

• 3072/3 = 1024; therefore, 3 is a factor of 3072 and 1024 is also a factor of 3072.
• 3072/512 = 6; therefore, 512 is a factor of 3072 and 6 is also a factor of 3072.

Similarly we can find other factors. Hence, the factors of 3072 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072.

☛ Also Check:

• Factors of 19 - The factors of 19 are 1, 19
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 33 - The factors of 33 are 1, 3, 11, 33

The number 3072 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3072. The first step is to divide the number 3072 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 3072 ÷ 2 = 1536
• 1536 ÷ 2 = 768
• 768 ÷ 2 = 384
• 384 ÷ 2 = 192
• 192 ÷ 2 = 96
• 96 ÷ 2 = 48
• 48 ÷ 2 = 24
• 24 ÷ 2 = 12
• 12 ÷ 2 = 6
• 6 ÷ 2 = 3

Further dividing 3 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 3 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 3072 can be written as 2¹⁰ × 3¹ where 2, 3 are prime.

Pair factors of 3072 are the pairs of numbers that when multiplied give the product 3072. The factors of 3072 in pairs are:

• 1 × 3072 = (1, 3072)
• 2 × 1536 = (2, 1536)
• 3 × 1024 = (3, 1024)
• 4 × 768 = (4, 768)
• 6 × 512 = (6, 512)
• 8 × 384 = (8, 384)
• 12 × 256 = (12, 256)
• 16 × 192 = (16, 192)
• 24 × 128 = (24, 128)
• 32 × 96 = (32, 96)
• 48 × 64 = (48, 64)

Negative pair factors of 3072 are:

• -1 × -3072 = (-1, -3072)
• -2 × -1536 = (-2, -1536)
• -3 × -1024 = (-3, -1024)
• -4 × -768 = (-4, -768)
• -6 × -512 = (-6, -512)
• -8 × -384 = (-8, -384)
• -12 × -256 = (-12, -256)
• -16 × -192 = (-16, -192)
• -24 × -128 = (-24, -128)
• -32 × -96 = (-32, -96)
• -48 × -64 = (-48, -64)

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