Factors of 1296 are the list of integers that can be evenly divided into 1296. There are total 25 factors of 1296, of which 2, 3 are its prime factors. The Prime Factorization of 1296 is 2⁴ × 3⁴.

• All Factors of 1296: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648 and 1296
• Prime Factors of 1296: 2, 3
• Prime Factorization of 1296: 2⁴ × 3⁴
• Sum of Factors of 1296: 3751

1.	What Are the Factors of 1296?
2.	Factors of 1296 by Prime Factorization
3.	Factors of 1296 in Pairs
4.	FAQs on Factors of 1296

Factors of 1296 are pairs of those numbers whose products result in 1296. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1296?

To find the factors of 1296, we will have to find the list of numbers that would divide 1296 without leaving any remainder.

• 1296/27 = 48; therefore, 27 is a factor of 1296 and 48 is also a factor of 1296.
• 1296/162 = 8; therefore, 162 is a factor of 1296 and 8 is also a factor of 1296.

Similarly we can find other factors. Hence, the factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296.

☛ Also Check:

• Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 15 - The factors of 15 are 1, 3, 5, 15

The number 1296 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1296. The first step is to divide the number 1296 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1296 ÷ 2 = 648
• 648 ÷ 2 = 324
• 324 ÷ 2 = 162
• 162 ÷ 2 = 81

Further dividing 81 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 81 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 1296 can be written as 2⁴ × 3⁴ where 2, 3 are prime.

Pair factors of 1296 are the pairs of numbers that when multiplied give the product 1296. The factors of 1296 in pairs are:

• 1 × 1296 = (1, 1296)
• 2 × 648 = (2, 648)
• 3 × 432 = (3, 432)
• 4 × 324 = (4, 324)
• 6 × 216 = (6, 216)
• 8 × 162 = (8, 162)
• 9 × 144 = (9, 144)
• 12 × 108 = (12, 108)
• 16 × 81 = (16, 81)
• 18 × 72 = (18, 72)
• 24 × 54 = (24, 54)
• 27 × 48 = (27, 48)
• 36 × 36 = (36, 36)

Negative pair factors of 1296 are:

• -1 × -1296 = (-1, -1296)
• -2 × -648 = (-2, -648)
• -3 × -432 = (-3, -432)
• -4 × -324 = (-4, -324)
• -6 × -216 = (-6, -216)
• -8 × -162 = (-8, -162)
• -9 × -144 = (-9, -144)
• -12 × -108 = (-12, -108)
• -16 × -81 = (-16, -81)
• -18 × -72 = (-18, -72)
• -24 × -54 = (-24, -54)
• -27 × -48 = (-27, -48)
• -36 × -36 = (-36, -36)

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