Factors of 7776 are the list of integers that we can split evenly into 7776. There are total 36 factors of 7776, of which 2, 3 are its prime factors. The Prime Factorization of 7776 is 2⁵ × 3⁵.

• All Factors of 7776: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888 and 7776
• Prime Factors of 7776: 2, 3
• Prime Factorization of 7776: 2⁵ × 3⁵
• Sum of Factors of 7776: 22932

1.	What Are the Factors of 7776?
2.	Factors of 7776 by Prime Factorization
3.	Factors of 7776 in Pairs
4.	FAQs on Factors of 7776

Factors of 7776 are pairs of those numbers whose products result in 7776. These factors are either prime numbers or composite numbers.

How to Find the Factors of 7776?

To find the factors of 7776, we will have to find the list of numbers that would divide 7776 without leaving any remainder.

• 7776/36 = 216; therefore, 36 is a factor of 7776 and 216 is also a factor of 7776.
• 7776/54 = 144; therefore, 54 is a factor of 7776 and 144 is also a factor of 7776.

Similarly we can find other factors. Hence, the factors of 7776 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776.

☛ Also Check:

• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 7 - The factors of 7 are 1, 7
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32

The number 7776 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 7776. The first step is to divide the number 7776 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 7776 ÷ 2 = 3888
• 3888 ÷ 2 = 1944
• 1944 ÷ 2 = 972
• 972 ÷ 2 = 486
• 486 ÷ 2 = 243

Further dividing 243 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 243 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 7776 can be written as 2⁵ × 3⁵ where 2, 3 are prime.

Pair factors of 7776 are the pairs of numbers that when multiplied give the product 7776. The factors of 7776 in pairs are:

• 1 × 7776 = (1, 7776)
• 2 × 3888 = (2, 3888)
• 3 × 2592 = (3, 2592)
• 4 × 1944 = (4, 1944)
• 6 × 1296 = (6, 1296)
• 8 × 972 = (8, 972)
• 9 × 864 = (9, 864)
• 12 × 648 = (12, 648)
• 16 × 486 = (16, 486)
• 18 × 432 = (18, 432)
• 24 × 324 = (24, 324)
• 27 × 288 = (27, 288)
• 32 × 243 = (32, 243)
• 36 × 216 = (36, 216)
• 48 × 162 = (48, 162)
• 54 × 144 = (54, 144)
• 72 × 108 = (72, 108)
• 81 × 96 = (81, 96)

Negative pair factors of 7776 are:

• -1 × -7776 = (-1, -7776)
• -2 × -3888 = (-2, -3888)
• -3 × -2592 = (-3, -2592)
• -4 × -1944 = (-4, -1944)
• -6 × -1296 = (-6, -1296)
• -8 × -972 = (-8, -972)
• -9 × -864 = (-9, -864)
• -12 × -648 = (-12, -648)
• -16 × -486 = (-16, -486)
• -18 × -432 = (-18, -432)
• -24 × -324 = (-24, -324)
• -27 × -288 = (-27, -288)
• -32 × -243 = (-32, -243)
• -36 × -216 = (-36, -216)
• -48 × -162 = (-48, -162)
• -54 × -144 = (-54, -144)
• -72 × -108 = (-72, -108)
• -81 × -96 = (-81, -96)

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