Factors of 1536 are numbers that, when multiplied in pairs give the product as 1536. There are overall 20 factors of 1536 among which 1536 is the biggest factor and 2, 3 are its prime factors. The sum of all factors of 1536 is 4092.

• All Factors of 1536: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768 and 1536
• Prime Factors of 1536: 2, 3
• Prime Factorization of 1536: 2⁹ × 3¹
• Sum of Factors of 1536: 4092

1.	What Are the Factors of 1536?
2.	Factors of 1536 by Prime Factorization
3.	Factors of 1536 in Pairs
4.	FAQs on Factors of 1536

Factors of 1536 are pairs of those numbers whose products result in 1536. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1536?

To find the factors of 1536, we will have to find the list of numbers that would divide 1536 without leaving any remainder.

• 1536/1536 = 1; therefore, 1536 is a factor of 1536.
• 1536/96 = 16; therefore, 96 is a factor of 1536.

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

☛ Also Check:

• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 38 - The factors of 38 are 1, 2, 19, 38
• Factors of 13 - The factors of 13 are 1, 13

The number 1536 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1536. The first step is to divide the number 1536 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 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 1536 can be written as 2⁹ × 3¹ where 2, 3 are prime.

Pair factors of 1536 are the pairs of numbers that when multiplied give the product 1536. The factors of 1536 in pairs are:

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

Negative pair factors of 1536 are:

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

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