Factors of 16200 in pair are (1, 16200) , (2, 8100) , (3, 5400) , (4, 4050) , (5, 3240) , (6, 2700) , (8, 2025) , (9, 1800) , (10, 1620) , (12, 1350) , (15, 1080) , (18, 900) , (20, 810) , (24, 675) , (25, 648) , (27, 600) , (30, 540) , (36, 450) , (40, 405) , (45, 360) , (50, 324) , (54, 300) , (60, 270) , (72, 225) , (75, 216) , (81, 200) , (90, 180) , (100, 162) , (108, 150) and (120, 135)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 16200 | 1 x 16200 = 16200 |
| 2 and 8100 | 2 x 8100 = 16200 |
| 3 and 5400 | 3 x 5400 = 16200 |
| 4 and 4050 | 4 x 4050 = 16200 |
| 5 and 3240 | 5 x 3240 = 16200 |
| 6 and 2700 | 6 x 2700 = 16200 |
| 8 and 2025 | 8 x 2025 = 16200 |
| 9 and 1800 | 9 x 1800 = 16200 |
| 10 and 1620 | 10 x 1620 = 16200 |
| 12 and 1350 | 12 x 1350 = 16200 |
| 15 and 1080 | 15 x 1080 = 16200 |
| 18 and 900 | 18 x 900 = 16200 |
| 20 and 810 | 20 x 810 = 16200 |
| 24 and 675 | 24 x 675 = 16200 |
| 25 and 648 | 25 x 648 = 16200 |
| 27 and 600 | 27 x 600 = 16200 |
| 30 and 540 | 30 x 540 = 16200 |
| 36 and 450 | 36 x 450 = 16200 |
| 40 and 405 | 40 x 405 = 16200 |
| 45 and 360 | 45 x 360 = 16200 |
| 50 and 324 | 50 x 324 = 16200 |
| 54 and 300 | 54 x 300 = 16200 |
| 60 and 270 | 60 x 270 = 16200 |
| 72 and 225 | 72 x 225 = 16200 |
| 75 and 216 | 75 x 216 = 16200 |
| 81 and 200 | 81 x 200 = 16200 |
| 90 and 180 | 90 x 180 = 16200 |
| 100 and 162 | 100 x 162 = 16200 |
| 108 and 150 | 108 x 150 = 16200 |
| 120 and 135 | 120 x 135 = 16200 |
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 16200. They are called negative pair factors.
Hence, the negative pairs of 16200 would be ( -1 , -16200 ) .
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 16200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 270 , 300 , 324 , 360 , 405 , 450 , 540 , 600 , 648 , 675 , 810 , 900 , 1080 , 1350 , 1620 , 1800 , 2025 , 2700 , 3240 , 4050 , 5400 , 8100 , 16200. So, factors of 16200 in pair are (1,16200), (2,8100), (3,5400), (4,4050), (5,3240), (6,2700), (8,2025), (9,1800), (10,1620), (12,1350), (15,1080), (18,900), (20,810), (24,675), (25,648), (27,600), (30,540), (36,450), (40,405), (45,360), (50,324), (54,300), (60,270), (72,225), (75,216), (81,200), (90,180), (100,162), (108,150), (120,135).
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 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, and 16200
Yes 16200 is a composite number.
No 16200 is not a prime number.
Factors of 16200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 270 , 300 , 324 , 360 , 405 , 450 , 540 , 600 , 648 , 675 , 810 , 900 , 1080 , 1350 , 1620 , 1800 , 2025 , 2700 , 3240 , 4050 , 5400 , 8100 , 16200. therefore mean of factors of 16200 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 25 + 27 + 30 + 36 + 40 + 45 + 50 + 54 + 60 + 72 + 75 + 81 + 90 + 100 + 108 + 120 + 135 + 150 + 162 + 180 + 200 + 216 + 225 + 270 + 300 + 324 + 360 + 405 + 450 + 540 + 600 + 648 + 675 + 810 + 900 + 1080 + 1350 + 1620 + 1800 + 2025 + 2700 + 3240 + 4050 + 5400 + 8100 + 16200) / 60 = 937.75.
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 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200. So, factors of 16200 in pair are (1,16200), (2,8100), (3,5400), (4,4050), (5,3240), (6,2700), (8,2025), (9,1800), (10,1620), (12,1350), (15,1080), (18,900), (20,810), (24,675), (25,648), (27,600), (30,540), (36,450), (40,405), (45,360), (50,324), (54,300), (60,270), (72,225), (75,216), (81,200), (90,180), (100,162), (108,150), (120,135).
Negative factors of 16200 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -27, -30, -36, -40, -45, -50, -54, -60, -72, -75, -81, -90, -100, -108, -120, -135, -150, -162, -180, -200, -216, -225, -270, -300, -324, -360, -405, -450, -540, -600, -648, -675, -810, -900, -1080, -1350, -1620, -1800, -2025, -2700, -3240, -4050, -5400, -8100, -16200. Hence, factors of 16200 in pair are (-1,-16200), (-2,-8100), (-3,-5400), (-4,-4050), (-5,-3240), (-6,-2700), (-8,-2025), (-9,-1800), (-10,-1620), (-12,-1350), (-15,-1080), (-18,-900), (-20,-810), (-24,-675), (-25,-648), (-27,-600), (-30,-540), (-36,-450), (-40,-405), (-45,-360), (-50,-324), (-54,-300), (-60,-270), (-72,-225), (-75,-216), (-81,-200), (-90,-180), (-100,-162), (-108,-150), (-120,-135).
Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200. Positive factors of 16200 in pair are (1,16200), (2,8100), (3,5400), (4,4050), (5,3240), (6,2700), (8,2025), (9,1800), (10,1620), (12,1350), (15,1080), (18,900), (20,810), (24,675), (25,648), (27,600), (30,540), (36,450), (40,405), (45,360), (50,324), (54,300), (60,270), (72,225), (75,216), (81,200), (90,180), (100,162), (108,150), (120,135). Negative factors of 16200 in pair are (-1,-16200), (-2,-8100), (-3,-5400), (-4,-4050), (-5,-3240), (-6,-2700), (-8,-2025), (-9,-1800), (-10,-1620), (-12,-1350), (-15,-1080), (-18,-900), (-20,-810), (-24,-675), (-25,-648), (-27,-600), (-30,-540), (-36,-450), (-40,-405), (-45,-360), (-50,-324), (-54,-300), (-60,-270), (-72,-225), (-75,-216), (-81,-200), (-90,-180), (-100,-162), (-108,-150), (-120,-135).
Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200. So the product of all factors of 16200 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 18 x 20 x 24 x 25 x 27 x 30 x 36 x 40 x 45 x 50 x 54 x 60 x 72 x 75 x 81 x 90 x 100 x 108 x 120 x 135 x 150 x 162 x 180 x 200 x 216 x 225 x 270 x 300 x 324 x 360 x 405 x 450 x 540 x 600 x 648 x 675 x 810 x 900 x 1080 x 1350 x 1620 x 1800 x 2025 x 2700 x 3240 x 4050 x 5400 x 8100 x 16200 = 1.929525117176908e+126.
Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200. Prime factors are 2, 2, 2, 3, 3, 3, 3, 5, 5. So, the product of all prime factors of 16200 would be 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 = 16200.
Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200.Factors of 16200 in pair are (1,16200), (2,8100), (3,5400), (4,4050), (5,3240), (6,2700), (8,2025), (9,1800), (10,1620), (12,1350), (15,1080), (18,900), (20,810), (24,675), (25,648), (27,600), (30,540), (36,450), (40,405), (45,360), (50,324), (54,300), (60,270), (72,225), (75,216), (81,200), (90,180), (100,162), (108,150), (120,135).
To arrange 16200 blocks in all possible ways to form a rectangle, we need to calculate factors of 16200 in pair. Therefore, factors of 16200 in pair are (1,16200), (2,8100), (3,5400), (4,4050), (5,3240), (6,2700), (8,2025), (9,1800), (10,1620), (12,1350), (15,1080), (18,900), (20,810), (24,675), (25,648), (27,600), (30,540), (36,450), (40,405), (45,360), (50,324), (54,300), (60,270), (72,225), (75,216), (81,200), (90,180), (100,162), (108,150), (120,135)