Factors of 6480 in pair are (1, 6480) , (2, 3240) , (3, 2160) , (4, 1620) , (5, 1296) , (6, 1080) , (8, 810) , (9, 720) , (10, 648) , (12, 540) , (15, 432) , (16, 405) , (18, 360) , (20, 324) , (24, 270) , (27, 240) , (30, 216) , (36, 180) , (40, 162) , (45, 144) , (48, 135) , (54, 120) , (60, 108) , (72, 90) and (80, 81)
Factor Pair | Pair Factorization |
---|---|
1 and 6480 | 1 x 6480 = 6480 |
2 and 3240 | 2 x 3240 = 6480 |
3 and 2160 | 3 x 2160 = 6480 |
4 and 1620 | 4 x 1620 = 6480 |
5 and 1296 | 5 x 1296 = 6480 |
6 and 1080 | 6 x 1080 = 6480 |
8 and 810 | 8 x 810 = 6480 |
9 and 720 | 9 x 720 = 6480 |
10 and 648 | 10 x 648 = 6480 |
12 and 540 | 12 x 540 = 6480 |
15 and 432 | 15 x 432 = 6480 |
16 and 405 | 16 x 405 = 6480 |
18 and 360 | 18 x 360 = 6480 |
20 and 324 | 20 x 324 = 6480 |
24 and 270 | 24 x 270 = 6480 |
27 and 240 | 27 x 240 = 6480 |
30 and 216 | 30 x 216 = 6480 |
36 and 180 | 36 x 180 = 6480 |
40 and 162 | 40 x 162 = 6480 |
45 and 144 | 45 x 144 = 6480 |
48 and 135 | 48 x 135 = 6480 |
54 and 120 | 54 x 120 = 6480 |
60 and 108 | 60 x 108 = 6480 |
72 and 90 | 72 x 90 = 6480 |
80 and 81 | 80 x 81 = 6480 |
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 6480. They are called negative pair factors.
Hence, the negative pairs of 6480 would be ( -1 , -6480 ) .
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 6480 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 27 , 30 , 36 , 40 , 45 , 48 , 54 , 60 , 72 , 80 , 81 , 90 , 108 , 120 , 135 , 144 , 162 , 180 , 216 , 240 , 270 , 324 , 360 , 405 , 432 , 540 , 648 , 720 , 810 , 1080 , 1296 , 1620 , 2160 , 3240 , 6480. So, factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81).
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 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, and 6480
Yes 6480 is a composite number.
No 6480 is not a prime number.
Factors of 6480 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 27 , 30 , 36 , 40 , 45 , 48 , 54 , 60 , 72 , 80 , 81 , 90 , 108 , 120 , 135 , 144 , 162 , 180 , 216 , 240 , 270 , 324 , 360 , 405 , 432 , 540 , 648 , 720 , 810 , 1080 , 1296 , 1620 , 2160 , 3240 , 6480. therefore mean of factors of 6480 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 81 + 90 + 108 + 120 + 135 + 144 + 162 + 180 + 216 + 240 + 270 + 324 + 360 + 405 + 432 + 540 + 648 + 720 + 810 + 1080 + 1296 + 1620 + 2160 + 3240 + 6480) / 50 = 450.12.
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 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480. So, factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81).
Negative factors of 6480 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -27, -30, -36, -40, -45, -48, -54, -60, -72, -80, -81, -90, -108, -120, -135, -144, -162, -180, -216, -240, -270, -324, -360, -405, -432, -540, -648, -720, -810, -1080, -1296, -1620, -2160, -3240, -6480. Hence, factors of 6480 in pair are (-1,-6480), (-2,-3240), (-3,-2160), (-4,-1620), (-5,-1296), (-6,-1080), (-8,-810), (-9,-720), (-10,-648), (-12,-540), (-15,-432), (-16,-405), (-18,-360), (-20,-324), (-24,-270), (-27,-240), (-30,-216), (-36,-180), (-40,-162), (-45,-144), (-48,-135), (-54,-120), (-60,-108), (-72,-90), (-80,-81).
Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480. Positive factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81). Negative factors of 6480 in pair are (-1,-6480), (-2,-3240), (-3,-2160), (-4,-1620), (-5,-1296), (-6,-1080), (-8,-810), (-9,-720), (-10,-648), (-12,-540), (-15,-432), (-16,-405), (-18,-360), (-20,-324), (-24,-270), (-27,-240), (-30,-216), (-36,-180), (-40,-162), (-45,-144), (-48,-135), (-54,-120), (-60,-108), (-72,-90), (-80,-81).
Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480. So the product of all factors of 6480 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 16 x 18 x 20 x 24 x 27 x 30 x 36 x 40 x 45 x 48 x 54 x 60 x 72 x 80 x 81 x 90 x 108 x 120 x 135 x 144 x 162 x 180 x 216 x 240 x 270 x 324 x 360 x 405 x 432 x 540 x 648 x 720 x 810 x 1080 x 1296 x 1620 x 2160 x 3240 x 6480 = 1.9470412239434446e+95.
Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480. Prime factors are 2, 2, 2, 2, 3, 3, 3, 3, 5. So, the product of all prime factors of 6480 would be 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 = 6480.
Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480.Factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81).
To arrange 6480 blocks in all possible ways to form a rectangle, we need to calculate factors of 6480 in pair. Therefore, factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81)