Factors of 10080 in pair are (1, 10080) , (2, 5040) , (3, 3360) , (4, 2520) , (5, 2016) , (6, 1680) , (7, 1440) , (8, 1260) , (9, 1120) , (10, 1008) , (12, 840) , (14, 720) , (15, 672) , (16, 630) , (18, 560) , (20, 504) , (21, 480) , (24, 420) , (28, 360) , (30, 336) , (32, 315) , (35, 288) , (36, 280) , (40, 252) , (42, 240) , (45, 224) , (48, 210) , (56, 180) , (60, 168) , (63, 160) , (70, 144) , (72, 140) , (80, 126) , (84, 120) , (90, 112) and (96, 105)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 10080 | 1 x 10080 = 10080 |
| 2 and 5040 | 2 x 5040 = 10080 |
| 3 and 3360 | 3 x 3360 = 10080 |
| 4 and 2520 | 4 x 2520 = 10080 |
| 5 and 2016 | 5 x 2016 = 10080 |
| 6 and 1680 | 6 x 1680 = 10080 |
| 7 and 1440 | 7 x 1440 = 10080 |
| 8 and 1260 | 8 x 1260 = 10080 |
| 9 and 1120 | 9 x 1120 = 10080 |
| 10 and 1008 | 10 x 1008 = 10080 |
| 12 and 840 | 12 x 840 = 10080 |
| 14 and 720 | 14 x 720 = 10080 |
| 15 and 672 | 15 x 672 = 10080 |
| 16 and 630 | 16 x 630 = 10080 |
| 18 and 560 | 18 x 560 = 10080 |
| 20 and 504 | 20 x 504 = 10080 |
| 21 and 480 | 21 x 480 = 10080 |
| 24 and 420 | 24 x 420 = 10080 |
| 28 and 360 | 28 x 360 = 10080 |
| 30 and 336 | 30 x 336 = 10080 |
| 32 and 315 | 32 x 315 = 10080 |
| 35 and 288 | 35 x 288 = 10080 |
| 36 and 280 | 36 x 280 = 10080 |
| 40 and 252 | 40 x 252 = 10080 |
| 42 and 240 | 42 x 240 = 10080 |
| 45 and 224 | 45 x 224 = 10080 |
| 48 and 210 | 48 x 210 = 10080 |
| 56 and 180 | 56 x 180 = 10080 |
| 60 and 168 | 60 x 168 = 10080 |
| 63 and 160 | 63 x 160 = 10080 |
| 70 and 144 | 70 x 144 = 10080 |
| 72 and 140 | 72 x 140 = 10080 |
| 80 and 126 | 80 x 126 = 10080 |
| 84 and 120 | 84 x 120 = 10080 |
| 90 and 112 | 90 x 112 = 10080 |
| 96 and 105 | 96 x 105 = 10080 |
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 10080. They are called negative pair factors.
Hence, the negative pairs of 10080 would be ( -1 , -10080 ) .
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 10080 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 18 , 20 , 21 , 24 , 28 , 30 , 32 , 35 , 36 , 40 , 42 , 45 , 48 , 56 , 60 , 63 , 70 , 72 , 80 , 84 , 90 , 96 , 105 , 112 , 120 , 126 , 140 , 144 , 160 , 168 , 180 , 210 , 224 , 240 , 252 , 280 , 288 , 315 , 336 , 360 , 420 , 480 , 504 , 560 , 630 , 672 , 720 , 840 , 1008 , 1120 , 1260 , 1440 , 1680 , 2016 , 2520 , 3360 , 5040 , 10080. So, factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105).
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 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, and 10080
Yes 10080 is a composite number.
No 10080 is not a prime number.
Factors of 10080 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 18 , 20 , 21 , 24 , 28 , 30 , 32 , 35 , 36 , 40 , 42 , 45 , 48 , 56 , 60 , 63 , 70 , 72 , 80 , 84 , 90 , 96 , 105 , 112 , 120 , 126 , 140 , 144 , 160 , 168 , 180 , 210 , 224 , 240 , 252 , 280 , 288 , 315 , 336 , 360 , 420 , 480 , 504 , 560 , 630 , 672 , 720 , 840 , 1008 , 1120 , 1260 , 1440 , 1680 , 2016 , 2520 , 3360 , 5040 , 10080. therefore mean of factors of 10080 is (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 36 + 40 + 42 + 45 + 48 + 56 + 60 + 63 + 70 + 72 + 80 + 84 + 90 + 96 + 105 + 112 + 120 + 126 + 140 + 144 + 160 + 168 + 180 + 210 + 224 + 240 + 252 + 280 + 288 + 315 + 336 + 360 + 420 + 480 + 504 + 560 + 630 + 672 + 720 + 840 + 1008 + 1120 + 1260 + 1440 + 1680 + 2016 + 2520 + 3360 + 5040 + 10080) / 72 = 546.00.
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 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. So, factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105).
Negative factors of 10080 are -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -12, -14, -15, -16, -18, -20, -21, -24, -28, -30, -32, -35, -36, -40, -42, -45, -48, -56, -60, -63, -70, -72, -80, -84, -90, -96, -105, -112, -120, -126, -140, -144, -160, -168, -180, -210, -224, -240, -252, -280, -288, -315, -336, -360, -420, -480, -504, -560, -630, -672, -720, -840, -1008, -1120, -1260, -1440, -1680, -2016, -2520, -3360, -5040, -10080. Hence, factors of 10080 in pair are (-1,-10080), (-2,-5040), (-3,-3360), (-4,-2520), (-5,-2016), (-6,-1680), (-7,-1440), (-8,-1260), (-9,-1120), (-10,-1008), (-12,-840), (-14,-720), (-15,-672), (-16,-630), (-18,-560), (-20,-504), (-21,-480), (-24,-420), (-28,-360), (-30,-336), (-32,-315), (-35,-288), (-36,-280), (-40,-252), (-42,-240), (-45,-224), (-48,-210), (-56,-180), (-60,-168), (-63,-160), (-70,-144), (-72,-140), (-80,-126), (-84,-120), (-90,-112), (-96,-105).
Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. Positive factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105). Negative factors of 10080 in pair are (-1,-10080), (-2,-5040), (-3,-3360), (-4,-2520), (-5,-2016), (-6,-1680), (-7,-1440), (-8,-1260), (-9,-1120), (-10,-1008), (-12,-840), (-14,-720), (-15,-672), (-16,-630), (-18,-560), (-20,-504), (-21,-480), (-24,-420), (-28,-360), (-30,-336), (-32,-315), (-35,-288), (-36,-280), (-40,-252), (-42,-240), (-45,-224), (-48,-210), (-56,-180), (-60,-168), (-63,-160), (-70,-144), (-72,-140), (-80,-126), (-84,-120), (-90,-112), (-96,-105).
Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. So the product of all factors of 10080 would be 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 12 x 14 x 15 x 16 x 18 x 20 x 21 x 24 x 28 x 30 x 32 x 35 x 36 x 40 x 42 x 45 x 48 x 56 x 60 x 63 x 70 x 72 x 80 x 84 x 90 x 96 x 105 x 112 x 120 x 126 x 140 x 144 x 160 x 168 x 180 x 210 x 224 x 240 x 252 x 280 x 288 x 315 x 336 x 360 x 420 x 480 x 504 x 560 x 630 x 672 x 720 x 840 x 1008 x 1120 x 1260 x 1440 x 1680 x 2016 x 2520 x 3360 x 5040 x 10080 = 1.3322298367827939e+144.
Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. Prime factors are 2, 2, 2, 2, 2, 3, 3, 5, 7. So, the product of all prime factors of 10080 would be 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 = 10080.
Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080.Factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105).
To arrange 10080 blocks in all possible ways to form a rectangle, we need to calculate factors of 10080 in pair. Therefore, factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105)