Factors of 800 are the list of integers that can be evenly divided into 800. There are overall 18 factors of 800 among which 800 is the biggest factor and its prime factors are 2, 5. The Prime Factorization of 800 is 2⁵ × 5².

• All Factors of 800: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400 and 800
• Prime Factors of 800: 2, 5
• Prime Factorization of 800: 2⁵ × 5²
• Sum of Factors of 800: 1953

1.	What Are the Factors of 800?
2.	Factors of 800 by Prime Factorization
3.	Factors of 800 in Pairs
4.	FAQs on Factors of 800

Factors of 800 are pairs of those numbers whose products result in 800. These factors are either prime numbers or composite numbers.

How to Find the Factors of 800?

To find the factors of 800, we will have to find the list of numbers that would divide 800 without leaving any remainder.

• 800/80 = 10; therefore, 80 is a factor of 800 and 10 is also a factor of 800.
• 800/40 = 20; therefore, 40 is a factor of 800 and 20 is also a factor of 800.

Similarly we can find other factors. Hence, the factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800.

☛ Also Check:

• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The number 800 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 800. The first step is to divide the number 800 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 800 ÷ 2 = 400
• 400 ÷ 2 = 200
• 200 ÷ 2 = 100
• 100 ÷ 2 = 50
• 50 ÷ 2 = 25

Further dividing 25 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 25 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 800 can be written as 2⁵ × 5² where 2, 5 are prime.

Pair factors of 800 are the pairs of numbers that when multiplied give the product 800. The factors of 800 in pairs are:

• 1 × 800 = (1, 800)
• 2 × 400 = (2, 400)
• 4 × 200 = (4, 200)
• 5 × 160 = (5, 160)
• 8 × 100 = (8, 100)
• 10 × 80 = (10, 80)
• 16 × 50 = (16, 50)
• 20 × 40 = (20, 40)
• 25 × 32 = (25, 32)

Negative pair factors of 800 are:

• -1 × -800 = (-1, -800)
• -2 × -400 = (-2, -400)
• -4 × -200 = (-4, -200)
• -5 × -160 = (-5, -160)
• -8 × -100 = (-8, -100)
• -10 × -80 = (-10, -80)
• -16 × -50 = (-16, -50)
• -20 × -40 = (-20, -40)
• -25 × -32 = (-25, -32)

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