Factors of 1800 in pair are (1, 1800) , (2, 900) , (3, 600) , (4, 450) , (5, 360) , (6, 300) , (8, 225) , (9, 200) , (10, 180) , (12, 150) , (15, 120) , (18, 100) , (20, 90) , (24, 75) , (25, 72) , (30, 60) , (36, 50) and (40, 45)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 1800 | 1 x 1800 = 1800 |
| 2 and 900 | 2 x 900 = 1800 |
| 3 and 600 | 3 x 600 = 1800 |
| 4 and 450 | 4 x 450 = 1800 |
| 5 and 360 | 5 x 360 = 1800 |
| 6 and 300 | 6 x 300 = 1800 |
| 8 and 225 | 8 x 225 = 1800 |
| 9 and 200 | 9 x 200 = 1800 |
| 10 and 180 | 10 x 180 = 1800 |
| 12 and 150 | 12 x 150 = 1800 |
| 15 and 120 | 15 x 120 = 1800 |
| 18 and 100 | 18 x 100 = 1800 |
| 20 and 90 | 20 x 90 = 1800 |
| 24 and 75 | 24 x 75 = 1800 |
| 25 and 72 | 25 x 72 = 1800 |
| 30 and 60 | 30 x 60 = 1800 |
| 36 and 50 | 36 x 50 = 1800 |
| 40 and 45 | 40 x 45 = 1800 |
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 1800. They are called negative pair factors.
Hence, the negative pairs of 1800 would be ( -1 , -1800 ) .
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 1800 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 , 150 , 180 , 200 , 225 , 300 , 360 , 450 , 600 , 900 , 1800. So, factors of 1800 in pair are (1,1800), (2,900), (3,600), (4,450), (5,360), (6,300), (8,225), (9,200), (10,180), (12,150), (15,120), (18,100), (20,90), (24,75), (25,72), (30,60), (36,50), (40,45).
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 1800 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, 150, 180, 200, 225, 300, 360, 450, 600, 900, and 1800
Yes 1800 is a composite number.
No 1800 is not a prime number.
Factors of 1800 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 , 150 , 180 , 200 , 225 , 300 , 360 , 450 , 600 , 900 , 1800. therefore mean of factors of 1800 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 + 150 + 180 + 200 + 225 + 300 + 360 + 450 + 600 + 900 + 1800) / 36 = 167.92.
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 1800 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, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800. So, factors of 1800 in pair are (1,1800), (2,900), (3,600), (4,450), (5,360), (6,300), (8,225), (9,200), (10,180), (12,150), (15,120), (18,100), (20,90), (24,75), (25,72), (30,60), (36,50), (40,45).
Negative factors of 1800 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, -150, -180, -200, -225, -300, -360, -450, -600, -900, -1800. Hence, factors of 1800 in pair are (-1,-1800), (-2,-900), (-3,-600), (-4,-450), (-5,-360), (-6,-300), (-8,-225), (-9,-200), (-10,-180), (-12,-150), (-15,-120), (-18,-100), (-20,-90), (-24,-75), (-25,-72), (-30,-60), (-36,-50), (-40,-45).
Factors of 1800 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, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800. Positive factors of 1800 in pair are (1,1800), (2,900), (3,600), (4,450), (5,360), (6,300), (8,225), (9,200), (10,180), (12,150), (15,120), (18,100), (20,90), (24,75), (25,72), (30,60), (36,50), (40,45). Negative factors of 1800 in pair are (-1,-1800), (-2,-900), (-3,-600), (-4,-450), (-5,-360), (-6,-300), (-8,-225), (-9,-200), (-10,-180), (-12,-150), (-15,-120), (-18,-100), (-20,-90), (-24,-75), (-25,-72), (-30,-60), (-36,-50), (-40,-45).
Factors of 1800 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, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800. So the product of all factors of 1800 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 150 x 180 x 200 x 225 x 300 x 360 x 450 x 600 x 900 x 1800 = 3.934640807529653e+58.
Factors of 1800 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, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800. Prime factors are 2, 2, 2, 3, 3, 5, 5. So, the product of all prime factors of 1800 would be 2 x 2 x 2 x 3 x 3 x 5 x 5 = 1800.
Factors of 1800 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, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800.Factors of 1800 in pair are (1,1800), (2,900), (3,600), (4,450), (5,360), (6,300), (8,225), (9,200), (10,180), (12,150), (15,120), (18,100), (20,90), (24,75), (25,72), (30,60), (36,50), (40,45).
To arrange 1800 blocks in all possible ways to form a rectangle, we need to calculate factors of 1800 in pair. Therefore, factors of 1800 in pair are (1,1800), (2,900), (3,600), (4,450), (5,360), (6,300), (8,225), (9,200), (10,180), (12,150), (15,120), (18,100), (20,90), (24,75), (25,72), (30,60), (36,50), (40,45)