Factors of 8100 are the list of integers that we can split evenly into 8100. There are overall 45 factors of 8100, of which 2, 3, 5 are its prime factors. The Prime Factorization of 8100 is 2² × 3⁴ × 5².

• All Factors of 8100: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050 and 8100
• Prime Factors of 8100: 2, 3, 5
• Prime Factorization of 8100: 2² × 3⁴ × 5²
• Sum of Factors of 8100: 26257

1.	What Are the Factors of 8100?
2.	Factors of 8100 by Prime Factorization
3.	Factors of 8100 in Pairs
4.	FAQs on Factors of 8100

Factors of 8100 are pairs of those numbers whose products result in 8100. These factors are either prime numbers or composite numbers.

How to Find the Factors of 8100?

To find the factors of 8100, we will have to find the list of numbers that would divide 8100 without leaving any remainder.

• 8100/324 = 25; therefore, 324 is a factor of 8100 and 25 is also a factor of 8100.
• 8100/270 = 30; therefore, 270 is a factor of 8100 and 30 is also a factor of 8100.

Similarly we can find other factors. Hence, the factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100.

☛ Also Check:

• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32

The number 8100 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 8100. The first step is to divide the number 8100 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 8100 ÷ 2 = 4050
• 4050 ÷ 2 = 2025

Further dividing 2025 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 2025 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 8100 can be written as 2² × 3⁴ × 5² where 2, 3, 5 are prime.

Pair factors of 8100 are the pairs of numbers that when multiplied give the product 8100. The factors of 8100 in pairs are:

• 1 × 8100 = (1, 8100)
• 2 × 4050 = (2, 4050)
• 3 × 2700 = (3, 2700)
• 4 × 2025 = (4, 2025)
• 5 × 1620 = (5, 1620)
• 6 × 1350 = (6, 1350)
• 9 × 900 = (9, 900)
• 10 × 810 = (10, 810)
• 12 × 675 = (12, 675)
• 15 × 540 = (15, 540)
• 18 × 450 = (18, 450)
• 20 × 405 = (20, 405)
• 25 × 324 = (25, 324)
• 27 × 300 = (27, 300)
• 30 × 270 = (30, 270)
• 36 × 225 = (36, 225)
• 45 × 180 = (45, 180)
• 50 × 162 = (50, 162)
• 54 × 150 = (54, 150)
• 60 × 135 = (60, 135)
• 75 × 108 = (75, 108)
• 81 × 100 = (81, 100)
• 90 × 90 = (90, 90)

Negative pair factors of 8100 are:

• -1 × -8100 = (-1, -8100)
• -2 × -4050 = (-2, -4050)
• -3 × -2700 = (-3, -2700)
• -4 × -2025 = (-4, -2025)
• -5 × -1620 = (-5, -1620)
• -6 × -1350 = (-6, -1350)
• -9 × -900 = (-9, -900)
• -10 × -810 = (-10, -810)
• -12 × -675 = (-12, -675)
• -15 × -540 = (-15, -540)
• -18 × -450 = (-18, -450)
• -20 × -405 = (-20, -405)
• -25 × -324 = (-25, -324)
• -27 × -300 = (-27, -300)
• -30 × -270 = (-30, -270)
• -36 × -225 = (-36, -225)
• -45 × -180 = (-45, -180)
• -50 × -162 = (-50, -162)
• -54 × -150 = (-54, -150)
• -60 × -135 = (-60, -135)
• -75 × -108 = (-75, -108)
• -81 × -100 = (-81, -100)
• -90 × -90 = (-90, -90)

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