Factors of 21000 in pair are (1, 21000) , (2, 10500) , (3, 7000) , (4, 5250) , (5, 4200) , (6, 3500) , (7, 3000) , (8, 2625) , (10, 2100) , (12, 1750) , (14, 1500) , (15, 1400) , (20, 1050) , (21, 1000) , (24, 875) , (25, 840) , (28, 750) , (30, 700) , (35, 600) , (40, 525) , (42, 500) , (50, 420) , (56, 375) , (60, 350) , (70, 300) , (75, 280) , (84, 250) , (100, 210) , (105, 200) , (120, 175) , (125, 168) and (140, 150)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 21000 | 1 x 21000 = 21000 |
| 2 and 10500 | 2 x 10500 = 21000 |
| 3 and 7000 | 3 x 7000 = 21000 |
| 4 and 5250 | 4 x 5250 = 21000 |
| 5 and 4200 | 5 x 4200 = 21000 |
| 6 and 3500 | 6 x 3500 = 21000 |
| 7 and 3000 | 7 x 3000 = 21000 |
| 8 and 2625 | 8 x 2625 = 21000 |
| 10 and 2100 | 10 x 2100 = 21000 |
| 12 and 1750 | 12 x 1750 = 21000 |
| 14 and 1500 | 14 x 1500 = 21000 |
| 15 and 1400 | 15 x 1400 = 21000 |
| 20 and 1050 | 20 x 1050 = 21000 |
| 21 and 1000 | 21 x 1000 = 21000 |
| 24 and 875 | 24 x 875 = 21000 |
| 25 and 840 | 25 x 840 = 21000 |
| 28 and 750 | 28 x 750 = 21000 |
| 30 and 700 | 30 x 700 = 21000 |
| 35 and 600 | 35 x 600 = 21000 |
| 40 and 525 | 40 x 525 = 21000 |
| 42 and 500 | 42 x 500 = 21000 |
| 50 and 420 | 50 x 420 = 21000 |
| 56 and 375 | 56 x 375 = 21000 |
| 60 and 350 | 60 x 350 = 21000 |
| 70 and 300 | 70 x 300 = 21000 |
| 75 and 280 | 75 x 280 = 21000 |
| 84 and 250 | 84 x 250 = 21000 |
| 100 and 210 | 100 x 210 = 21000 |
| 105 and 200 | 105 x 200 = 21000 |
| 120 and 175 | 120 x 175 = 21000 |
| 125 and 168 | 125 x 168 = 21000 |
| 140 and 150 | 140 x 150 = 21000 |
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 21000. They are called negative pair factors.
Hence, the negative pairs of 21000 would be ( -1 , -21000 ) .
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 21000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 50 , 56 , 60 , 70 , 75 , 84 , 100 , 105 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 250 , 280 , 300 , 350 , 375 , 420 , 500 , 525 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1400 , 1500 , 1750 , 2100 , 2625 , 3000 , 3500 , 4200 , 5250 , 7000 , 10500 , 21000. So, factors of 21000 in pair are (1,21000), (2,10500), (3,7000), (4,5250), (5,4200), (6,3500), (7,3000), (8,2625), (10,2100), (12,1750), (14,1500), (15,1400), (20,1050), (21,1000), (24,875), (25,840), (28,750), (30,700), (35,600), (40,525), (42,500), (50,420), (56,375), (60,350), (70,300), (75,280), (84,250), (100,210), (105,200), (120,175), (125,168), (140,150).
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 21000 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 125, 140, 150, 168, 175, 200, 210, 250, 280, 300, 350, 375, 420, 500, 525, 600, 700, 750, 840, 875, 1000, 1050, 1400, 1500, 1750, 2100, 2625, 3000, 3500, 4200, 5250, 7000, 10500, and 21000
Yes 21000 is a composite number.
No 21000 is not a prime number.
Factors of 21000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 50 , 56 , 60 , 70 , 75 , 84 , 100 , 105 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 250 , 280 , 300 , 350 , 375 , 420 , 500 , 525 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1400 , 1500 , 1750 , 2100 , 2625 , 3000 , 3500 , 4200 , 5250 , 7000 , 10500 , 21000. therefore mean of factors of 21000 is (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 20 + 21 + 24 + 25 + 28 + 30 + 35 + 40 + 42 + 50 + 56 + 60 + 70 + 75 + 84 + 100 + 105 + 120 + 125 + 140 + 150 + 168 + 175 + 200 + 210 + 250 + 280 + 300 + 350 + 375 + 420 + 500 + 525 + 600 + 700 + 750 + 840 + 875 + 1000 + 1050 + 1400 + 1500 + 1750 + 2100 + 2625 + 3000 + 3500 + 4200 + 5250 + 7000 + 10500 + 21000) / 64 = 1170.00.
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 21000 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 125, 140, 150, 168, 175, 200, 210, 250, 280, 300, 350, 375, 420, 500, 525, 600, 700, 750, 840, 875, 1000, 1050, 1400, 1500, 1750, 2100, 2625, 3000, 3500, 4200, 5250, 7000, 10500, 21000. So, factors of 21000 in pair are (1,21000), (2,10500), (3,7000), (4,5250), (5,4200), (6,3500), (7,3000), (8,2625), (10,2100), (12,1750), (14,1500), (15,1400), (20,1050), (21,1000), (24,875), (25,840), (28,750), (30,700), (35,600), (40,525), (42,500), (50,420), (56,375), (60,350), (70,300), (75,280), (84,250), (100,210), (105,200), (120,175), (125,168), (140,150).
Negative factors of 21000 are -1, -2, -3, -4, -5, -6, -7, -8, -10, -12, -14, -15, -20, -21, -24, -25, -28, -30, -35, -40, -42, -50, -56, -60, -70, -75, -84, -100, -105, -120, -125, -140, -150, -168, -175, -200, -210, -250, -280, -300, -350, -375, -420, -500, -525, -600, -700, -750, -840, -875, -1000, -1050, -1400, -1500, -1750, -2100, -2625, -3000, -3500, -4200, -5250, -7000, -10500, -21000. Hence, factors of 21000 in pair are (-1,-21000), (-2,-10500), (-3,-7000), (-4,-5250), (-5,-4200), (-6,-3500), (-7,-3000), (-8,-2625), (-10,-2100), (-12,-1750), (-14,-1500), (-15,-1400), (-20,-1050), (-21,-1000), (-24,-875), (-25,-840), (-28,-750), (-30,-700), (-35,-600), (-40,-525), (-42,-500), (-50,-420), (-56,-375), (-60,-350), (-70,-300), (-75,-280), (-84,-250), (-100,-210), (-105,-200), (-120,-175), (-125,-168), (-140,-150).
Factors of 21000 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 125, 140, 150, 168, 175, 200, 210, 250, 280, 300, 350, 375, 420, 500, 525, 600, 700, 750, 840, 875, 1000, 1050, 1400, 1500, 1750, 2100, 2625, 3000, 3500, 4200, 5250, 7000, 10500, 21000. Positive factors of 21000 in pair are (1,21000), (2,10500), (3,7000), (4,5250), (5,4200), (6,3500), (7,3000), (8,2625), (10,2100), (12,1750), (14,1500), (15,1400), (20,1050), (21,1000), (24,875), (25,840), (28,750), (30,700), (35,600), (40,525), (42,500), (50,420), (56,375), (60,350), (70,300), (75,280), (84,250), (100,210), (105,200), (120,175), (125,168), (140,150). Negative factors of 21000 in pair are (-1,-21000), (-2,-10500), (-3,-7000), (-4,-5250), (-5,-4200), (-6,-3500), (-7,-3000), (-8,-2625), (-10,-2100), (-12,-1750), (-14,-1500), (-15,-1400), (-20,-1050), (-21,-1000), (-24,-875), (-25,-840), (-28,-750), (-30,-700), (-35,-600), (-40,-525), (-42,-500), (-50,-420), (-56,-375), (-60,-350), (-70,-300), (-75,-280), (-84,-250), (-100,-210), (-105,-200), (-120,-175), (-125,-168), (-140,-150).
Factors of 21000 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 125, 140, 150, 168, 175, 200, 210, 250, 280, 300, 350, 375, 420, 500, 525, 600, 700, 750, 840, 875, 1000, 1050, 1400, 1500, 1750, 2100, 2625, 3000, 3500, 4200, 5250, 7000, 10500, 21000. So the product of all factors of 21000 would be 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 10 x 12 x 14 x 15 x 20 x 21 x 24 x 25 x 28 x 30 x 35 x 40 x 42 x 50 x 56 x 60 x 70 x 75 x 84 x 100 x 105 x 120 x 125 x 140 x 150 x 168 x 175 x 200 x 210 x 250 x 280 x 300 x 350 x 375 x 420 x 500 x 525 x 600 x 700 x 750 x 840 x 875 x 1000 x 1050 x 1400 x 1500 x 1750 x 2100 x 2625 x 3000 x 3500 x 4200 x 5250 x 7000 x 10500 x 21000 = 2.0465267775006695e+138.
Factors of 21000 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 125, 140, 150, 168, 175, 200, 210, 250, 280, 300, 350, 375, 420, 500, 525, 600, 700, 750, 840, 875, 1000, 1050, 1400, 1500, 1750, 2100, 2625, 3000, 3500, 4200, 5250, 7000, 10500, 21000. Prime factors are 2, 2, 2, 3, 5, 5, 5, 7. So, the product of all prime factors of 21000 would be 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 = 21000.
Factors of 21000 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 125, 140, 150, 168, 175, 200, 210, 250, 280, 300, 350, 375, 420, 500, 525, 600, 700, 750, 840, 875, 1000, 1050, 1400, 1500, 1750, 2100, 2625, 3000, 3500, 4200, 5250, 7000, 10500, 21000.Factors of 21000 in pair are (1,21000), (2,10500), (3,7000), (4,5250), (5,4200), (6,3500), (7,3000), (8,2625), (10,2100), (12,1750), (14,1500), (15,1400), (20,1050), (21,1000), (24,875), (25,840), (28,750), (30,700), (35,600), (40,525), (42,500), (50,420), (56,375), (60,350), (70,300), (75,280), (84,250), (100,210), (105,200), (120,175), (125,168), (140,150).
To arrange 21000 blocks in all possible ways to form a rectangle, we need to calculate factors of 21000 in pair. Therefore, factors of 21000 in pair are (1,21000), (2,10500), (3,7000), (4,5250), (5,4200), (6,3500), (7,3000), (8,2625), (10,2100), (12,1750), (14,1500), (15,1400), (20,1050), (21,1000), (24,875), (25,840), (28,750), (30,700), (35,600), (40,525), (42,500), (50,420), (56,375), (60,350), (70,300), (75,280), (84,250), (100,210), (105,200), (120,175), (125,168), (140,150)