Factors of 6400 are the list of integers that we can split evenly into 6400. There are 27 factors of 6400 of which 6400 itself is the biggest factor and its prime factors are 2, 5 The Prime Factorization of 6400 is 2⁸ × 5².

• All Factors of 6400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200 and 6400
• Prime Factors of 6400: 2, 5
• Prime Factorization of 6400: 2⁸ × 5²
• Sum of Factors of 6400: 15841

1.	What Are the Factors of 6400?
2.	Factors of 6400 by Prime Factorization
3.	Factors of 6400 in Pairs
4.	FAQs on Factors of 6400

Factors of 6400 are pairs of those numbers whose products result in 6400. These factors are either prime numbers or composite numbers.

How to Find the Factors of 6400?

To find the factors of 6400, we will have to find the list of numbers that would divide 6400 without leaving any remainder.

• 6400/10 = 640; therefore, 10 is a factor of 6400 and 640 is also a factor of 6400.
• 6400/2 = 3200; therefore, 2 is a factor of 6400 and 3200 is also a factor of 6400.

Similarly we can find other factors. Hence, the factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400.

☛ Also Check:

• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 5 - The factors of 5 are 1, 5
• Factors of 29 - The factors of 29 are 1, 29
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The number 6400 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 6400. The first step is to divide the number 6400 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 6400 ÷ 2 = 3200
• 3200 ÷ 2 = 1600
• 1600 ÷ 2 = 800
• 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 6400 can be written as 2⁸ × 5² where 2, 5 are prime.

Pair factors of 6400 are the pairs of numbers that when multiplied give the product 6400. The factors of 6400 in pairs are:

• 1 × 6400 = (1, 6400)
• 2 × 3200 = (2, 3200)
• 4 × 1600 = (4, 1600)
• 5 × 1280 = (5, 1280)
• 8 × 800 = (8, 800)
• 10 × 640 = (10, 640)
• 16 × 400 = (16, 400)
• 20 × 320 = (20, 320)
• 25 × 256 = (25, 256)
• 32 × 200 = (32, 200)
• 40 × 160 = (40, 160)
• 50 × 128 = (50, 128)
• 64 × 100 = (64, 100)
• 80 × 80 = (80, 80)

Negative pair factors of 6400 are:

• -1 × -6400 = (-1, -6400)
• -2 × -3200 = (-2, -3200)
• -4 × -1600 = (-4, -1600)
• -5 × -1280 = (-5, -1280)
• -8 × -800 = (-8, -800)
• -10 × -640 = (-10, -640)
• -16 × -400 = (-16, -400)
• -20 × -320 = (-20, -320)
• -25 × -256 = (-25, -256)
• -32 × -200 = (-32, -200)
• -40 × -160 = (-40, -160)
• -50 × -128 = (-50, -128)
• -64 × -100 = (-64, -100)
• -80 × -80 = (-80, -80)

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