Factors of 9600 in pair are (1, 9600) , (2, 4800) , (3, 3200) , (4, 2400) , (5, 1920) , (6, 1600) , (8, 1200) , (10, 960) , (12, 800) , (15, 640) , (16, 600) , (20, 480) , (24, 400) , (25, 384) , (30, 320) , (32, 300) , (40, 240) , (48, 200) , (50, 192) , (60, 160) , (64, 150) , (75, 128) , (80, 120) and (96, 100)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 9600 | 1 x 9600 = 9600 |
| 2 and 4800 | 2 x 4800 = 9600 |
| 3 and 3200 | 3 x 3200 = 9600 |
| 4 and 2400 | 4 x 2400 = 9600 |
| 5 and 1920 | 5 x 1920 = 9600 |
| 6 and 1600 | 6 x 1600 = 9600 |
| 8 and 1200 | 8 x 1200 = 9600 |
| 10 and 960 | 10 x 960 = 9600 |
| 12 and 800 | 12 x 800 = 9600 |
| 15 and 640 | 15 x 640 = 9600 |
| 16 and 600 | 16 x 600 = 9600 |
| 20 and 480 | 20 x 480 = 9600 |
| 24 and 400 | 24 x 400 = 9600 |
| 25 and 384 | 25 x 384 = 9600 |
| 30 and 320 | 30 x 320 = 9600 |
| 32 and 300 | 32 x 300 = 9600 |
| 40 and 240 | 40 x 240 = 9600 |
| 48 and 200 | 48 x 200 = 9600 |
| 50 and 192 | 50 x 192 = 9600 |
| 60 and 160 | 60 x 160 = 9600 |
| 64 and 150 | 64 x 150 = 9600 |
| 75 and 128 | 75 x 128 = 9600 |
| 80 and 120 | 80 x 120 = 9600 |
| 96 and 100 | 96 x 100 = 9600 |
Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 9600. They are called negative pair factors.
Hence, the negative pairs of 9600 would be ( -1 , -9600 ) .
In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- 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. So, factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100).
In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.
Hence, 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, and 9600
Yes 9600 is a composite number.
No 9600 is not a prime number.
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. therefore mean of factors of 9600 is (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) / 48 = 658.75.
A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.
An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.
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. So, factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100).
Negative 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. Hence, factors of 9600 in pair are (-1,-9600), (-2,-4800), (-3,-3200), (-4,-2400), (-5,-1920), (-6,-1600), (-8,-1200), (-10,-960), (-12,-800), (-15,-640), (-16,-600), (-20,-480), (-24,-400), (-25,-384), (-30,-320), (-32,-300), (-40,-240), (-48,-200), (-50,-192), (-60,-160), (-64,-150), (-75,-128), (-80,-120), (-96,-100).
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. Positive factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100). Negative factors of 9600 in pair are (-1,-9600), (-2,-4800), (-3,-3200), (-4,-2400), (-5,-1920), (-6,-1600), (-8,-1200), (-10,-960), (-12,-800), (-15,-640), (-16,-600), (-20,-480), (-24,-400), (-25,-384), (-30,-320), (-32,-300), (-40,-240), (-48,-200), (-50,-192), (-60,-160), (-64,-150), (-75,-128), (-80,-120), (-96,-100).
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. So the product of all factors of 9600 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 15 x 16 x 20 x 24 x 25 x 30 x 32 x 40 x 48 x 50 x 60 x 64 x 75 x 80 x 96 x 100 x 120 x 128 x 150 x 160 x 192 x 200 x 240 x 300 x 320 x 384 x 400 x 480 x 600 x 640 x 800 x 960 x 1200 x 1600 x 1920 x 2400 x 3200 x 4800 x 9600 = 3.7541324672710234e+95.
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. Prime factors are 2, 2, 2, 2, 2, 2, 2, 3, 5, 5. So, the product of all prime factors of 9600 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 9600.
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.Factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100).
To arrange 9600 blocks in all possible ways to form a rectangle, we need to calculate factors of 9600 in pair. Therefore, factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100)