Factors of 9000 in pair are (1, 9000) , (2, 4500) , (3, 3000) , (4, 2250) , (5, 1800) , (6, 1500) , (8, 1125) , (9, 1000) , (10, 900) , (12, 750) , (15, 600) , (18, 500) , (20, 450) , (24, 375) , (25, 360) , (30, 300) , (36, 250) , (40, 225) , (45, 200) , (50, 180) , (60, 150) , (72, 125) , (75, 120) and (90, 100)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 9000 | 1 x 9000 = 9000 |
| 2 and 4500 | 2 x 4500 = 9000 |
| 3 and 3000 | 3 x 3000 = 9000 |
| 4 and 2250 | 4 x 2250 = 9000 |
| 5 and 1800 | 5 x 1800 = 9000 |
| 6 and 1500 | 6 x 1500 = 9000 |
| 8 and 1125 | 8 x 1125 = 9000 |
| 9 and 1000 | 9 x 1000 = 9000 |
| 10 and 900 | 10 x 900 = 9000 |
| 12 and 750 | 12 x 750 = 9000 |
| 15 and 600 | 15 x 600 = 9000 |
| 18 and 500 | 18 x 500 = 9000 |
| 20 and 450 | 20 x 450 = 9000 |
| 24 and 375 | 24 x 375 = 9000 |
| 25 and 360 | 25 x 360 = 9000 |
| 30 and 300 | 30 x 300 = 9000 |
| 36 and 250 | 36 x 250 = 9000 |
| 40 and 225 | 40 x 225 = 9000 |
| 45 and 200 | 45 x 200 = 9000 |
| 50 and 180 | 50 x 180 = 9000 |
| 60 and 150 | 60 x 150 = 9000 |
| 72 and 125 | 72 x 125 = 9000 |
| 75 and 120 | 75 x 120 = 9000 |
| 90 and 100 | 90 x 100 = 9000 |
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 9000. They are called negative pair factors.
Hence, the negative pairs of 9000 would be ( -1 , -9000 ) .
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 9000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 50 , 60 , 72 , 75 , 90 , 100 , 120 , 125 , 150 , 180 , 200 , 225 , 250 , 300 , 360 , 375 , 450 , 500 , 600 , 750 , 900 , 1000 , 1125 , 1500 , 1800 , 2250 , 3000 , 4500 , 9000. So, factors of 9000 in pair are (1,9000), (2,4500), (3,3000), (4,2250), (5,1800), (6,1500), (8,1125), (9,1000), (10,900), (12,750), (15,600), (18,500), (20,450), (24,375), (25,360), (30,300), (36,250), (40,225), (45,200), (50,180), (60,150), (72,125), (75,120), (90,100).
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 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, and 9000
Yes 9000 is a composite number.
No 9000 is not a prime number.
Factors of 9000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 50 , 60 , 72 , 75 , 90 , 100 , 120 , 125 , 150 , 180 , 200 , 225 , 250 , 300 , 360 , 375 , 450 , 500 , 600 , 750 , 900 , 1000 , 1125 , 1500 , 1800 , 2250 , 3000 , 4500 , 9000. therefore mean of factors of 9000 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 50 + 60 + 72 + 75 + 90 + 100 + 120 + 125 + 150 + 180 + 200 + 225 + 250 + 300 + 360 + 375 + 450 + 500 + 600 + 750 + 900 + 1000 + 1125 + 1500 + 1800 + 2250 + 3000 + 4500 + 9000) / 48 = 633.75.
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 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000. So, factors of 9000 in pair are (1,9000), (2,4500), (3,3000), (4,2250), (5,1800), (6,1500), (8,1125), (9,1000), (10,900), (12,750), (15,600), (18,500), (20,450), (24,375), (25,360), (30,300), (36,250), (40,225), (45,200), (50,180), (60,150), (72,125), (75,120), (90,100).
Negative factors of 9000 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -30, -36, -40, -45, -50, -60, -72, -75, -90, -100, -120, -125, -150, -180, -200, -225, -250, -300, -360, -375, -450, -500, -600, -750, -900, -1000, -1125, -1500, -1800, -2250, -3000, -4500, -9000. Hence, factors of 9000 in pair are (-1,-9000), (-2,-4500), (-3,-3000), (-4,-2250), (-5,-1800), (-6,-1500), (-8,-1125), (-9,-1000), (-10,-900), (-12,-750), (-15,-600), (-18,-500), (-20,-450), (-24,-375), (-25,-360), (-30,-300), (-36,-250), (-40,-225), (-45,-200), (-50,-180), (-60,-150), (-72,-125), (-75,-120), (-90,-100).
Factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000. Positive factors of 9000 in pair are (1,9000), (2,4500), (3,3000), (4,2250), (5,1800), (6,1500), (8,1125), (9,1000), (10,900), (12,750), (15,600), (18,500), (20,450), (24,375), (25,360), (30,300), (36,250), (40,225), (45,200), (50,180), (60,150), (72,125), (75,120), (90,100). Negative factors of 9000 in pair are (-1,-9000), (-2,-4500), (-3,-3000), (-4,-2250), (-5,-1800), (-6,-1500), (-8,-1125), (-9,-1000), (-10,-900), (-12,-750), (-15,-600), (-18,-500), (-20,-450), (-24,-375), (-25,-360), (-30,-300), (-36,-250), (-40,-225), (-45,-200), (-50,-180), (-60,-150), (-72,-125), (-75,-120), (-90,-100).
Factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000. So the product of all factors of 9000 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 30 x 36 x 40 x 45 x 50 x 60 x 72 x 75 x 90 x 100 x 120 x 125 x 150 x 180 x 200 x 225 x 250 x 300 x 360 x 375 x 450 x 500 x 600 x 750 x 900 x 1000 x 1125 x 1500 x 1800 x 2250 x 3000 x 4500 x 9000 = 7.976644307687254e+94.
Factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000. Prime factors are 2, 2, 2, 3, 3, 5, 5, 5. So, the product of all prime factors of 9000 would be 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 = 9000.
Factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000.Factors of 9000 in pair are (1,9000), (2,4500), (3,3000), (4,2250), (5,1800), (6,1500), (8,1125), (9,1000), (10,900), (12,750), (15,600), (18,500), (20,450), (24,375), (25,360), (30,300), (36,250), (40,225), (45,200), (50,180), (60,150), (72,125), (75,120), (90,100).
To arrange 9000 blocks in all possible ways to form a rectangle, we need to calculate factors of 9000 in pair. Therefore, factors of 9000 in pair are (1,9000), (2,4500), (3,3000), (4,2250), (5,1800), (6,1500), (8,1125), (9,1000), (10,900), (12,750), (15,600), (18,500), (20,450), (24,375), (25,360), (30,300), (36,250), (40,225), (45,200), (50,180), (60,150), (72,125), (75,120), (90,100)