Factors of 3000 are integers that can be divided evenly into 3000. It has total 32 factors of which 3000 is the biggest factor and the prime factors of 3000 are 2, 3, 5. The Prime Factorization of 3000 is 2³ × 3¹ × 5³.

• All Factors of 3000: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000
• Prime Factors of 3000: 2, 3, 5
• Prime Factorization of 3000: 2³ × 3¹ × 5³
• Sum of Factors of 3000: 9360

1.	What Are the Factors of 3000?
2.	Factors of 3000 by Prime Factorization
3.	Factors of 3000 in Pairs
4.	FAQs on Factors of 3000

Factors of 3000 are pairs of those numbers whose products result in 3000. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3000?

To find the factors of 3000, we will have to find the list of numbers that would divide 3000 without leaving any remainder.

• 3000/25 = 120; therefore, 25 is a factor of 3000 and 120 is also a factor of 3000.
• 3000/1000 = 3; therefore, 1000 is a factor of 3000 and 3 is also a factor of 3000.

Similarly we can find other factors. Hence, the factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000.

☛ Also Check:

• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44

The number 3000 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3000. The first step is to divide the number 3000 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 3000 ÷ 2 = 1500
• 1500 ÷ 2 = 750
• 750 ÷ 2 = 375

Further dividing 375 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 375 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 3000 can be written as 2³ × 3¹ × 5³ where 2, 3, 5 are prime.

Pair factors of 3000 are the pairs of numbers that when multiplied give the product 3000. The factors of 3000 in pairs are:

• 1 × 3000 = (1, 3000)
• 2 × 1500 = (2, 1500)
• 3 × 1000 = (3, 1000)
• 4 × 750 = (4, 750)
• 5 × 600 = (5, 600)
• 6 × 500 = (6, 500)
• 8 × 375 = (8, 375)
• 10 × 300 = (10, 300)
• 12 × 250 = (12, 250)
• 15 × 200 = (15, 200)
• 20 × 150 = (20, 150)
• 24 × 125 = (24, 125)
• 25 × 120 = (25, 120)
• 30 × 100 = (30, 100)
• 40 × 75 = (40, 75)
• 50 × 60 = (50, 60)

Negative pair factors of 3000 are:

• -1 × -3000 = (-1, -3000)
• -2 × -1500 = (-2, -1500)
• -3 × -1000 = (-3, -1000)
• -4 × -750 = (-4, -750)
• -5 × -600 = (-5, -600)
• -6 × -500 = (-6, -500)
• -8 × -375 = (-8, -375)
• -10 × -300 = (-10, -300)
• -12 × -250 = (-12, -250)
• -15 × -200 = (-15, -200)
• -20 × -150 = (-20, -150)
• -24 × -125 = (-24, -125)
• -25 × -120 = (-25, -120)
• -30 × -100 = (-30, -100)
• -40 × -75 = (-40, -75)
• -50 × -60 = (-50, -60)

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