Factors of 4096 are the list of integers that we can split evenly into 4096. It has total 13 factors of which 4096 is the biggest factor and the prime factors of 4096 are 2. The Prime Factorization of 4096 is 2¹².

• All Factors of 4096: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096
• Prime Factors of 4096: 2
• Prime Factorization of 4096: 2¹²
• Sum of Factors of 4096: 8191

1.	What Are the Factors of 4096?
2.	Factors of 4096 by Prime Factorization
3.	Factors of 4096 in Pairs
4.	FAQs on Factors of 4096

Factors of 4096 are pairs of those numbers whose products result in 4096. These factors are either prime numbers or composite numbers.

How to Find the Factors of 4096?

To find the factors of 4096, we will have to find the list of numbers that would divide 4096 without leaving any remainder.

• 4096/8 = 512; therefore, 8 is a factor of 4096 and 512 is also a factor of 4096.
• 4096/32 = 128; therefore, 32 is a factor of 4096 and 128 is also a factor of 4096.

Similarly we can find other factors. Hence, the factors of 4096 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096.

☛ Also Check:

• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 65 - The factors of 65 are 1, 5, 13, 65

The number 4096 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 4096. The first step is to divide the number 4096 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 4096 ÷ 2 = 2048
• 2048 ÷ 2 = 1024
• 1024 ÷ 2 = 512
• 512 ÷ 2 = 256
• 256 ÷ 2 = 128
• 128 ÷ 2 = 64
• 64 ÷ 2 = 32
• 32 ÷ 2 = 16
• 16 ÷ 2 = 8
• 8 ÷ 2 = 4
• 4 ÷ 2 = 2
• 2 ÷ 2 = 1

Further dividing 1 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1 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.

Since, we can't divide any further in this case so we stop.

So, the prime factorization of 4096 is 2¹².

Pair factors of 4096 are the pairs of numbers that when multiplied give the product 4096. The factors of 4096 in pairs are:

• 1 × 4096 = (1, 4096)
• 2 × 2048 = (2, 2048)
• 4 × 1024 = (4, 1024)
• 8 × 512 = (8, 512)
• 16 × 256 = (16, 256)
• 32 × 128 = (32, 128)
• 64 × 64 = (64, 64)

Negative pair factors of 4096 are:

• -1 × -4096 = (-1, -4096)
• -2 × -2048 = (-2, -2048)
• -4 × -1024 = (-4, -1024)
• -8 × -512 = (-8, -512)
• -16 × -256 = (-16, -256)
• -32 × -128 = (-32, -128)
• -64 × -64 = (-64, -64)

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