Factors of 8000 are the list of integers that we can split evenly into 8000. There are overall 28 factors of 8000 among which 8000 is the biggest factor and 2, 5 are its prime factors. The sum of all factors of 8000 is 19812.

• All Factors of 8000: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000 and 8000
• Prime Factors of 8000: 2, 5
• Prime Factorization of 8000: 2⁶ × 5³
• Sum of Factors of 8000: 19812

1.	What Are the Factors of 8000?
2.	Factors of 8000 by Prime Factorization
3.	Factors of 8000 in Pairs
4.	FAQs on Factors of 8000

Factors of 8000 are pairs of those numbers whose products result in 8000. These factors are either prime numbers or composite numbers.

How to Find the Factors of 8000?

To find the factors of 8000, we will have to find the list of numbers that would divide 8000 without leaving any remainder.

• 8000/64 = 125; therefore, 64 is a factor of 8000 and 125 is also a factor of 8000.
• 8000/100 = 80; therefore, 100 is a factor of 8000 and 80 is also a factor of 8000.

Similarly we can find other factors. Hence, the factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.

☛ Also Check:

• Factors of 6 - The factors of 6 are 1, 2, 3, 6
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The number 8000 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 8000. The first step is to divide the number 8000 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 8000 ÷ 2 = 4000
• 4000 ÷ 2 = 2000
• 2000 ÷ 2 = 1000
• 1000 ÷ 2 = 500
• 500 ÷ 2 = 250
• 250 ÷ 2 = 125

Further dividing 125 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 125 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 8000 can be written as 2⁶ × 5³ where 2, 5 are prime.

Pair factors of 8000 are the pairs of numbers that when multiplied give the product 8000. The factors of 8000 in pairs are:

• 1 × 8000 = (1, 8000)
• 2 × 4000 = (2, 4000)
• 4 × 2000 = (4, 2000)
• 5 × 1600 = (5, 1600)
• 8 × 1000 = (8, 1000)
• 10 × 800 = (10, 800)
• 16 × 500 = (16, 500)
• 20 × 400 = (20, 400)
• 25 × 320 = (25, 320)
• 32 × 250 = (32, 250)
• 40 × 200 = (40, 200)
• 50 × 160 = (50, 160)
• 64 × 125 = (64, 125)
• 80 × 100 = (80, 100)

Negative pair factors of 8000 are:

• -1 × -8000 = (-1, -8000)
• -2 × -4000 = (-2, -4000)
• -4 × -2000 = (-4, -2000)
• -5 × -1600 = (-5, -1600)
• -8 × -1000 = (-8, -1000)
• -10 × -800 = (-10, -800)
• -16 × -500 = (-16, -500)
• -20 × -400 = (-20, -400)
• -25 × -320 = (-25, -320)
• -32 × -250 = (-32, -250)
• -40 × -200 = (-40, -200)
• -50 × -160 = (-50, -160)
• -64 × -125 = (-64, -125)
• -80 × -100 = (-80, -100)

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