Factors of 1600 are integers that can be divided evenly into 1600. There are overall 21 factors of 1600 among which 1600 is the biggest factor and 2, 5 are its prime factors. The sum of all factors of 1600 is 3937.

• All Factors of 1600: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600
• Prime Factors of 1600: 2, 5
• Prime Factorization of 1600: 2⁶ × 5²
• Sum of Factors of 1600: 3937

1.	What Are the Factors of 1600?
2.	Factors of 1600 by Prime Factorization
3.	Factors of 1600 in Pairs
4.	FAQs on Factors of 1600

Factors of 1600 are pairs of those numbers whose products result in 1600. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1600?

To find the factors of 1600, we will have to find the list of numbers that would divide 1600 without leaving any remainder.

• 1600/10 = 160; therefore, 10 is a factor of 1600 and 160 is also a factor of 1600.
• 1600/320 = 5; therefore, 320 is a factor of 1600 and 5 is also a factor of 1600.

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

☛ Also Check:

• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The number 1600 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1600. The first step is to divide the number 1600 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 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 1600 can be written as 2⁶ × 5² where 2, 5 are prime.

Pair factors of 1600 are the pairs of numbers that when multiplied give the product 1600. The factors of 1600 in pairs are:

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

Negative pair factors of 1600 are:

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

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