Factors of 9000 are the list of integers that we can split evenly into 9000. There are 48 factors of 9000 of which 9000 itself is the biggest factor and its prime factors are 2, 3, 5 The sum of all factors of 9000 is 30420.

• All Factors of 9000: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500 and 9000
• Prime Factors of 9000: 2, 3, 5
• Prime Factorization of 9000: 2³ × 3² × 5³
• Sum of Factors of 9000: 30420

1.	What Are the Factors of 9000?
2.	Factors of 9000 by Prime Factorization
3.	Factors of 9000 in Pairs
4.	FAQs on Factors of 9000

Factors of 9000 are pairs of those numbers whose products result in 9000. These factors are either prime numbers or composite numbers.

How to Find the Factors of 9000?

To find the factors of 9000, we will have to find the list of numbers that would divide 9000 without leaving any remainder.

• 9000/45 = 200; therefore, 45 is a factor of 9000 and 200 is also a factor of 9000.
• 9000/10 = 900; therefore, 10 is a factor of 9000 and 900 is also a factor of 9000.

Similarly we can find other factors. Hence, the factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000.

☛ Also Check:

• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 13 - The factors of 13 are 1, 13
• Factors of 17 - The factors of 17 are 1, 17
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63

The number 9000 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 9000. The first step is to divide the number 9000 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 9000 ÷ 2 = 4500
• 4500 ÷ 2 = 2250
• 2250 ÷ 2 = 1125

Further dividing 1125 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1125 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 9000 can be written as 2³ × 3² × 5³ where 2, 3, 5 are prime.

Pair factors of 9000 are the pairs of numbers that when multiplied give the product 9000. The factors of 9000 in pairs are:

• 1 × 9000 = (1, 9000)
• 2 × 4500 = (2, 4500)
• 3 × 3000 = (3, 3000)
• 4 × 2250 = (4, 2250)
• 5 × 1800 = (5, 1800)
• 6 × 1500 = (6, 1500)
• 8 × 1125 = (8, 1125)
• 9 × 1000 = (9, 1000)
• 10 × 900 = (10, 900)
• 12 × 750 = (12, 750)
• 15 × 600 = (15, 600)
• 18 × 500 = (18, 500)
• 20 × 450 = (20, 450)
• 24 × 375 = (24, 375)
• 25 × 360 = (25, 360)
• 30 × 300 = (30, 300)
• 36 × 250 = (36, 250)
• 40 × 225 = (40, 225)
• 45 × 200 = (45, 200)
• 50 × 180 = (50, 180)
• 60 × 150 = (60, 150)
• 72 × 125 = (72, 125)
• 75 × 120 = (75, 120)
• 90 × 100 = (90, 100)

Negative pair factors of 9000 are:

• -1 × -9000 = (-1, -9000)
• -2 × -4500 = (-2, -4500)
• -3 × -3000 = (-3, -3000)
• -4 × -2250 = (-4, -2250)
• -5 × -1800 = (-5, -1800)
• -6 × -1500 = (-6, -1500)
• -8 × -1125 = (-8, -1125)
• -9 × -1000 = (-9, -1000)
• -10 × -900 = (-10, -900)
• -12 × -750 = (-12, -750)
• -15 × -600 = (-15, -600)
• -18 × -500 = (-18, -500)
• -20 × -450 = (-20, -450)
• -24 × -375 = (-24, -375)
• -25 × -360 = (-25, -360)
• -30 × -300 = (-30, -300)
• -36 × -250 = (-36, -250)
• -40 × -225 = (-40, -225)
• -45 × -200 = (-45, -200)
• -50 × -180 = (-50, -180)
• -60 × -150 = (-60, -150)
• -72 × -125 = (-72, -125)
• -75 × -120 = (-75, -120)
• -90 × -100 = (-90, -100)

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