Factors of 9600 are numbers that, when multiplied in pairs give the product as 9600. There are overall 48 factors of 9600 among which 9600 is the biggest factor and its prime factors are 2, 3, 5. The sum of all factors of 9600 is 31620.

• All Factors of 9600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800 and 9600
• Prime Factors of 9600: 2, 3, 5
• Prime Factorization of 9600: 2⁷ × 3¹ × 5²
• Sum of Factors of 9600: 31620

1.	What Are the Factors of 9600?
2.	Factors of 9600 by Prime Factorization
3.	Factors of 9600 in Pairs
4.	FAQs on Factors of 9600

Factors of 9600 are pairs of those numbers whose products result in 9600. These factors are either prime numbers or composite numbers.

How to Find the Factors of 9600?

To find the factors of 9600, we will have to find the list of numbers that would divide 9600 without leaving any remainder.

• 9600/24 = 400; therefore, 24 is a factor of 9600 and 400 is also a factor of 9600.
• 9600/2400 = 4; therefore, 2400 is a factor of 9600 and 4 is also a factor of 9600.

Similarly we can find other factors. Hence, the factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600.

☛ Also Check:

• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 7 - The factors of 7 are 1, 7
• Factors of 11 - The factors of 11 are 1, 11
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The number 9600 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 9600. The first step is to divide the number 9600 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 9600 ÷ 2 = 4800
• 4800 ÷ 2 = 2400
• 2400 ÷ 2 = 1200
• 1200 ÷ 2 = 600
• 600 ÷ 2 = 300
• 300 ÷ 2 = 150
• 150 ÷ 2 = 75

Further dividing 75 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 75 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 9600 can be written as 2⁷ × 3¹ × 5² where 2, 3, 5 are prime.

Pair factors of 9600 are the pairs of numbers that when multiplied give the product 9600. The factors of 9600 in pairs are:

• 1 × 9600 = (1, 9600)
• 2 × 4800 = (2, 4800)
• 3 × 3200 = (3, 3200)
• 4 × 2400 = (4, 2400)
• 5 × 1920 = (5, 1920)
• 6 × 1600 = (6, 1600)
• 8 × 1200 = (8, 1200)
• 10 × 960 = (10, 960)
• 12 × 800 = (12, 800)
• 15 × 640 = (15, 640)
• 16 × 600 = (16, 600)
• 20 × 480 = (20, 480)
• 24 × 400 = (24, 400)
• 25 × 384 = (25, 384)
• 30 × 320 = (30, 320)
• 32 × 300 = (32, 300)
• 40 × 240 = (40, 240)
• 48 × 200 = (48, 200)
• 50 × 192 = (50, 192)
• 60 × 160 = (60, 160)
• 64 × 150 = (64, 150)
• 75 × 128 = (75, 128)
• 80 × 120 = (80, 120)
• 96 × 100 = (96, 100)

Negative pair factors of 9600 are:

• -1 × -9600 = (-1, -9600)
• -2 × -4800 = (-2, -4800)
• -3 × -3200 = (-3, -3200)
• -4 × -2400 = (-4, -2400)
• -5 × -1920 = (-5, -1920)
• -6 × -1600 = (-6, -1600)
• -8 × -1200 = (-8, -1200)
• -10 × -960 = (-10, -960)
• -12 × -800 = (-12, -800)
• -15 × -640 = (-15, -640)
• -16 × -600 = (-16, -600)
• -20 × -480 = (-20, -480)
• -24 × -400 = (-24, -400)
• -25 × -384 = (-25, -384)
• -30 × -320 = (-30, -320)
• -32 × -300 = (-32, -300)
• -40 × -240 = (-40, -240)
• -48 × -200 = (-48, -200)
• -50 × -192 = (-50, -192)
• -60 × -160 = (-60, -160)
• -64 × -150 = (-64, -150)
• -75 × -128 = (-75, -128)
• -80 × -120 = (-80, -120)
• -96 × -100 = (-96, -100)

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