Factors of 5184 are the list of integers that we can split evenly into 5184. There are total 35 factors of 5184, of which 2, 3 are its prime factors. The sum of all factors of 5184 is 15367.

• All Factors of 5184: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592 and 5184
• Prime Factors of 5184: 2, 3
• Prime Factorization of 5184: 2⁶ × 3⁴
• Sum of Factors of 5184: 15367

1.	What Are the Factors of 5184?
2.	Factors of 5184 by Prime Factorization
3.	Factors of 5184 in Pairs
4.	FAQs on Factors of 5184

Factors of 5184 are pairs of those numbers whose products result in 5184. These factors are either prime numbers or composite numbers.

How to Find the Factors of 5184?

To find the factors of 5184, we will have to find the list of numbers that would divide 5184 without leaving any remainder.

• 5184/216 = 24; therefore, 216 is a factor of 5184 and 24 is also a factor of 5184.
• 5184/3 = 1728; therefore, 3 is a factor of 5184 and 1728 is also a factor of 5184.

Similarly we can find other factors. Hence, the factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184.

☛ Also Check:

• Factors of 7 - The factors of 7 are 1, 7
• Factors of 29 - The factors of 29 are 1, 29
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 38 - The factors of 38 are 1, 2, 19, 38
• Factors of 65 - The factors of 65 are 1, 5, 13, 65

The number 5184 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 5184. The first step is to divide the number 5184 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 5184 ÷ 2 = 2592
• 2592 ÷ 2 = 1296
• 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 5184 can be written as 2⁶ × 3⁴ where 2, 3 are prime.

Pair factors of 5184 are the pairs of numbers that when multiplied give the product 5184. The factors of 5184 in pairs are:

• 1 × 5184 = (1, 5184)
• 2 × 2592 = (2, 2592)
• 3 × 1728 = (3, 1728)
• 4 × 1296 = (4, 1296)
• 6 × 864 = (6, 864)
• 8 × 648 = (8, 648)
• 9 × 576 = (9, 576)
• 12 × 432 = (12, 432)
• 16 × 324 = (16, 324)
• 18 × 288 = (18, 288)
• 24 × 216 = (24, 216)
• 27 × 192 = (27, 192)
• 32 × 162 = (32, 162)
• 36 × 144 = (36, 144)
• 48 × 108 = (48, 108)
• 54 × 96 = (54, 96)
• 64 × 81 = (64, 81)
• 72 × 72 = (72, 72)

Negative pair factors of 5184 are:

• -1 × -5184 = (-1, -5184)
• -2 × -2592 = (-2, -2592)
• -3 × -1728 = (-3, -1728)
• -4 × -1296 = (-4, -1296)
• -6 × -864 = (-6, -864)
• -8 × -648 = (-8, -648)
• -9 × -576 = (-9, -576)
• -12 × -432 = (-12, -432)
• -16 × -324 = (-16, -324)
• -18 × -288 = (-18, -288)
• -24 × -216 = (-24, -216)
• -27 × -192 = (-27, -192)
• -32 × -162 = (-32, -162)
• -36 × -144 = (-36, -144)
• -48 × -108 = (-48, -108)
• -54 × -96 = (-54, -96)
• -64 × -81 = (-64, -81)
• -72 × -72 = (-72, -72)

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