Factors of 768 are the list of integers that can be evenly divided into 768. There are overall 18 factors of 768, of which 2, 3 are its prime factors. The Prime Factorization of 768 is 2⁸ × 3¹.

• All Factors of 768: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384 and 768
• Prime Factors of 768: 2, 3
• Prime Factorization of 768: 2⁸ × 3¹
• Sum of Factors of 768: 2044

1.	What Are the Factors of 768?
2.	Factors of 768 by Prime Factorization
3.	Factors of 768 in Pairs
4.	FAQs on Factors of 768

Factors of 768 are pairs of those numbers whose products result in 768. These factors are either prime numbers or composite numbers.

How to Find the Factors of 768?

To find the factors of 768, we will have to find the list of numbers that would divide 768 without leaving any remainder.

• 768/192 = 4; therefore, 192 is a factor of 768 and 4 is also a factor of 768.
• 768/384 = 2; therefore, 384 is a factor of 768 and 2 is also a factor of 768.

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

☛ Also Check:

• Factors of 41 - The factors of 41 are 1, 41
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 26 - The factors of 26 are 1, 2, 13, 26

The number 768 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 768. The first step is to divide the number 768 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 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 768 can be written as 2⁸ × 3¹ where 2, 3 are prime.

Pair factors of 768 are the pairs of numbers that when multiplied give the product 768. The factors of 768 in pairs are:

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

Negative pair factors of 768 are:

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

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