Factors of 7200 in pair are (1, 7200) , (2, 3600) , (3, 2400) , (4, 1800) , (5, 1440) , (6, 1200) , (8, 900) , (9, 800) , (10, 720) , (12, 600) , (15, 480) , (16, 450) , (18, 400) , (20, 360) , (24, 300) , (25, 288) , (30, 240) , (32, 225) , (36, 200) , (40, 180) , (45, 160) , (48, 150) , (50, 144) , (60, 120) , (72, 100) , (75, 96) and (80, 90)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 7200 | 1 x 7200 = 7200 |
| 2 and 3600 | 2 x 3600 = 7200 |
| 3 and 2400 | 3 x 2400 = 7200 |
| 4 and 1800 | 4 x 1800 = 7200 |
| 5 and 1440 | 5 x 1440 = 7200 |
| 6 and 1200 | 6 x 1200 = 7200 |
| 8 and 900 | 8 x 900 = 7200 |
| 9 and 800 | 9 x 800 = 7200 |
| 10 and 720 | 10 x 720 = 7200 |
| 12 and 600 | 12 x 600 = 7200 |
| 15 and 480 | 15 x 480 = 7200 |
| 16 and 450 | 16 x 450 = 7200 |
| 18 and 400 | 18 x 400 = 7200 |
| 20 and 360 | 20 x 360 = 7200 |
| 24 and 300 | 24 x 300 = 7200 |
| 25 and 288 | 25 x 288 = 7200 |
| 30 and 240 | 30 x 240 = 7200 |
| 32 and 225 | 32 x 225 = 7200 |
| 36 and 200 | 36 x 200 = 7200 |
| 40 and 180 | 40 x 180 = 7200 |
| 45 and 160 | 45 x 160 = 7200 |
| 48 and 150 | 48 x 150 = 7200 |
| 50 and 144 | 50 x 144 = 7200 |
| 60 and 120 | 60 x 120 = 7200 |
| 72 and 100 | 72 x 100 = 7200 |
| 75 and 96 | 75 x 96 = 7200 |
| 80 and 90 | 80 x 90 = 7200 |
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 7200. They are called negative pair factors.
Hence, the negative pairs of 7200 would be ( -1 , -7200 ) .
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 7200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 60 , 72 , 75 , 80 , 90 , 96 , 100 , 120 , 144 , 150 , 160 , 180 , 200 , 225 , 240 , 288 , 300 , 360 , 400 , 450 , 480 , 600 , 720 , 800 , 900 , 1200 , 1440 , 1800 , 2400 , 3600 , 7200. So, factors of 7200 in pair are (1,7200), (2,3600), (3,2400), (4,1800), (5,1440), (6,1200), (8,900), (9,800), (10,720), (12,600), (15,480), (16,450), (18,400), (20,360), (24,300), (25,288), (30,240), (32,225), (36,200), (40,180), (45,160), (48,150), (50,144), (60,120), (72,100), (75,96), (80,90).
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 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, and 7200
Yes 7200 is a composite number.
No 7200 is not a prime number.
Factors of 7200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 60 , 72 , 75 , 80 , 90 , 96 , 100 , 120 , 144 , 150 , 160 , 180 , 200 , 225 , 240 , 288 , 300 , 360 , 400 , 450 , 480 , 600 , 720 , 800 , 900 , 1200 , 1440 , 1800 , 2400 , 3600 , 7200. therefore mean of factors of 7200 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 32 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 96 + 100 + 120 + 144 + 150 + 160 + 180 + 200 + 225 + 240 + 288 + 300 + 360 + 400 + 450 + 480 + 600 + 720 + 800 + 900 + 1200 + 1440 + 1800 + 2400 + 3600 + 7200) / 54 = 470.17.
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 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200. So, factors of 7200 in pair are (1,7200), (2,3600), (3,2400), (4,1800), (5,1440), (6,1200), (8,900), (9,800), (10,720), (12,600), (15,480), (16,450), (18,400), (20,360), (24,300), (25,288), (30,240), (32,225), (36,200), (40,180), (45,160), (48,150), (50,144), (60,120), (72,100), (75,96), (80,90).
Negative factors of 7200 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -25, -30, -32, -36, -40, -45, -48, -50, -60, -72, -75, -80, -90, -96, -100, -120, -144, -150, -160, -180, -200, -225, -240, -288, -300, -360, -400, -450, -480, -600, -720, -800, -900, -1200, -1440, -1800, -2400, -3600, -7200. Hence, factors of 7200 in pair are (-1,-7200), (-2,-3600), (-3,-2400), (-4,-1800), (-5,-1440), (-6,-1200), (-8,-900), (-9,-800), (-10,-720), (-12,-600), (-15,-480), (-16,-450), (-18,-400), (-20,-360), (-24,-300), (-25,-288), (-30,-240), (-32,-225), (-36,-200), (-40,-180), (-45,-160), (-48,-150), (-50,-144), (-60,-120), (-72,-100), (-75,-96), (-80,-90).
Factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200. Positive factors of 7200 in pair are (1,7200), (2,3600), (3,2400), (4,1800), (5,1440), (6,1200), (8,900), (9,800), (10,720), (12,600), (15,480), (16,450), (18,400), (20,360), (24,300), (25,288), (30,240), (32,225), (36,200), (40,180), (45,160), (48,150), (50,144), (60,120), (72,100), (75,96), (80,90). Negative factors of 7200 in pair are (-1,-7200), (-2,-3600), (-3,-2400), (-4,-1800), (-5,-1440), (-6,-1200), (-8,-900), (-9,-800), (-10,-720), (-12,-600), (-15,-480), (-16,-450), (-18,-400), (-20,-360), (-24,-300), (-25,-288), (-30,-240), (-32,-225), (-36,-200), (-40,-180), (-45,-160), (-48,-150), (-50,-144), (-60,-120), (-72,-100), (-75,-96), (-80,-90).
Factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200. So the product of all factors of 7200 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 16 x 18 x 20 x 24 x 25 x 30 x 32 x 36 x 40 x 45 x 48 x 50 x 60 x 72 x 75 x 80 x 90 x 96 x 100 x 120 x 144 x 150 x 160 x 180 x 200 x 225 x 240 x 288 x 300 x 360 x 400 x 450 x 480 x 600 x 720 x 800 x 900 x 1200 x 1440 x 1800 x 2400 x 3600 x 7200 = 1.4059743693355062e+104.
Factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200. Prime factors are 2, 2, 2, 2, 2, 3, 3, 5, 5. So, the product of all prime factors of 7200 would be 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 7200.
Factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200.Factors of 7200 in pair are (1,7200), (2,3600), (3,2400), (4,1800), (5,1440), (6,1200), (8,900), (9,800), (10,720), (12,600), (15,480), (16,450), (18,400), (20,360), (24,300), (25,288), (30,240), (32,225), (36,200), (40,180), (45,160), (48,150), (50,144), (60,120), (72,100), (75,96), (80,90).
To arrange 7200 blocks in all possible ways to form a rectangle, we need to calculate factors of 7200 in pair. Therefore, factors of 7200 in pair are (1,7200), (2,3600), (3,2400), (4,1800), (5,1440), (6,1200), (8,900), (9,800), (10,720), (12,600), (15,480), (16,450), (18,400), (20,360), (24,300), (25,288), (30,240), (32,225), (36,200), (40,180), (45,160), (48,150), (50,144), (60,120), (72,100), (75,96), (80,90)