Factors of 13500 in pair are (1, 13500) , (2, 6750) , (3, 4500) , (4, 3375) , (5, 2700) , (6, 2250) , (9, 1500) , (10, 1350) , (12, 1125) , (15, 900) , (18, 750) , (20, 675) , (25, 540) , (27, 500) , (30, 450) , (36, 375) , (45, 300) , (50, 270) , (54, 250) , (60, 225) , (75, 180) , (90, 150) , (100, 135) and (108, 125)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 13500 | 1 x 13500 = 13500 |
| 2 and 6750 | 2 x 6750 = 13500 |
| 3 and 4500 | 3 x 4500 = 13500 |
| 4 and 3375 | 4 x 3375 = 13500 |
| 5 and 2700 | 5 x 2700 = 13500 |
| 6 and 2250 | 6 x 2250 = 13500 |
| 9 and 1500 | 9 x 1500 = 13500 |
| 10 and 1350 | 10 x 1350 = 13500 |
| 12 and 1125 | 12 x 1125 = 13500 |
| 15 and 900 | 15 x 900 = 13500 |
| 18 and 750 | 18 x 750 = 13500 |
| 20 and 675 | 20 x 675 = 13500 |
| 25 and 540 | 25 x 540 = 13500 |
| 27 and 500 | 27 x 500 = 13500 |
| 30 and 450 | 30 x 450 = 13500 |
| 36 and 375 | 36 x 375 = 13500 |
| 45 and 300 | 45 x 300 = 13500 |
| 50 and 270 | 50 x 270 = 13500 |
| 54 and 250 | 54 x 250 = 13500 |
| 60 and 225 | 60 x 225 = 13500 |
| 75 and 180 | 75 x 180 = 13500 |
| 90 and 150 | 90 x 150 = 13500 |
| 100 and 135 | 100 x 135 = 13500 |
| 108 and 125 | 108 x 125 = 13500 |
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 13500. They are called negative pair factors.
Hence, the negative pairs of 13500 would be ( -1 , -13500 ) .
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 13500 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 27 , 30 , 36 , 45 , 50 , 54 , 60 , 75 , 90 , 100 , 108 , 125 , 135 , 150 , 180 , 225 , 250 , 270 , 300 , 375 , 450 , 500 , 540 , 675 , 750 , 900 , 1125 , 1350 , 1500 , 2250 , 2700 , 3375 , 4500 , 6750 , 13500. So, factors of 13500 in pair are (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).
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 13500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, and 13500
Yes 13500 is a composite number.
No 13500 is not a prime number.
Factors of 13500 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 27 , 30 , 36 , 45 , 50 , 54 , 60 , 75 , 90 , 100 , 108 , 125 , 135 , 150 , 180 , 225 , 250 , 270 , 300 , 375 , 450 , 500 , 540 , 675 , 750 , 900 , 1125 , 1350 , 1500 , 2250 , 2700 , 3375 , 4500 , 6750 , 13500. therefore mean of factors of 13500 is (1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 27 + 30 + 36 + 45 + 50 + 54 + 60 + 75 + 90 + 100 + 108 + 125 + 135 + 150 + 180 + 225 + 250 + 270 + 300 + 375 + 450 + 500 + 540 + 675 + 750 + 900 + 1125 + 1350 + 1500 + 2250 + 2700 + 3375 + 4500 + 6750 + 13500) / 48 = 910.00.
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.
Positive factors of 13500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, 13500.
Prime factors of 13500 are 2, 2, 3, 3, 3, 5, 5, 5.
Factors of 13500 in pair are (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).
Factors of 13500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, 13500. Hence, the factors of 13500 in pair are (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).
Factors of 13500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 125, 135, 150, 180, 225, 250, 270, 300, 375, 450, 500, 540, 675, 750, 900, 1125, 1350, 1500, 2250, 2700, 3375, 4500, 6750, 13500.Factors of 13500 in pair are (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).
For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 13500 in pair. So, the possible combinations (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).
Prime factorization of 13500 is 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5. Factors of 13500 in pair can be written as (1,13500), (2,6750), (3,4500), (4,3375), (5,2700), (6,2250), (9,1500), (10,1350), (12,1125), (15,900), (18,750), (20,675), (25,540), (27,500), (30,450), (36,375), (45,300), (50,270), (54,250), (60,225), (75,180), (90,150), (100,135), (108,125).
Smallest prime factor of 13500 is 2.
Largest prime factor of 13500 is 5.
Negative factors of 13500 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -25, -27, -30, -36, -45, -50, -54, -60, -75, -90, -100, -108, -125, -135, -150, -180, -225, -250, -270, -300, -375, -450, -500, -540, -675, -750, -900, -1125, -1350, -1500, -2250, -2700, -3375, -4500, -6750, -13500.