Factors of 7680 in pair are (1, 7680) , (2, 3840) , (3, 2560) , (4, 1920) , (5, 1536) , (6, 1280) , (8, 960) , (10, 768) , (12, 640) , (15, 512) , (16, 480) , (20, 384) , (24, 320) , (30, 256) , (32, 240) , (40, 192) , (48, 160) , (60, 128) , (64, 120) and (80, 96)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 7680 | 1 x 7680 = 7680 |
| 2 and 3840 | 2 x 3840 = 7680 |
| 3 and 2560 | 3 x 2560 = 7680 |
| 4 and 1920 | 4 x 1920 = 7680 |
| 5 and 1536 | 5 x 1536 = 7680 |
| 6 and 1280 | 6 x 1280 = 7680 |
| 8 and 960 | 8 x 960 = 7680 |
| 10 and 768 | 10 x 768 = 7680 |
| 12 and 640 | 12 x 640 = 7680 |
| 15 and 512 | 15 x 512 = 7680 |
| 16 and 480 | 16 x 480 = 7680 |
| 20 and 384 | 20 x 384 = 7680 |
| 24 and 320 | 24 x 320 = 7680 |
| 30 and 256 | 30 x 256 = 7680 |
| 32 and 240 | 32 x 240 = 7680 |
| 40 and 192 | 40 x 192 = 7680 |
| 48 and 160 | 48 x 160 = 7680 |
| 60 and 128 | 60 x 128 = 7680 |
| 64 and 120 | 64 x 120 = 7680 |
| 80 and 96 | 80 x 96 = 7680 |
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 7680. They are called negative pair factors.
Hence, the negative pairs of 7680 would be ( -1 , -7680 ) .
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 7680 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 64 , 80 , 96 , 120 , 128 , 160 , 192 , 240 , 256 , 320 , 384 , 480 , 512 , 640 , 768 , 960 , 1280 , 1536 , 1920 , 2560 , 3840 , 7680. So, factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96).
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 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, and 7680
Yes 7680 is a composite number.
No 7680 is not a prime number.
Factors of 7680 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 64 , 80 , 96 , 120 , 128 , 160 , 192 , 240 , 256 , 320 , 384 , 480 , 512 , 640 , 768 , 960 , 1280 , 1536 , 1920 , 2560 , 3840 , 7680. therefore mean of factors of 7680 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 64 + 80 + 96 + 120 + 128 + 160 + 192 + 240 + 256 + 320 + 384 + 480 + 512 + 640 + 768 + 960 + 1280 + 1536 + 1920 + 2560 + 3840 + 7680) / 40 = 613.80.
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 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. So, factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96).
Negative factors of 7680 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -32, -40, -48, -60, -64, -80, -96, -120, -128, -160, -192, -240, -256, -320, -384, -480, -512, -640, -768, -960, -1280, -1536, -1920, -2560, -3840, -7680. Hence, factors of 7680 in pair are (-1,-7680), (-2,-3840), (-3,-2560), (-4,-1920), (-5,-1536), (-6,-1280), (-8,-960), (-10,-768), (-12,-640), (-15,-512), (-16,-480), (-20,-384), (-24,-320), (-30,-256), (-32,-240), (-40,-192), (-48,-160), (-60,-128), (-64,-120), (-80,-96).
Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. Positive factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96). Negative factors of 7680 in pair are (-1,-7680), (-2,-3840), (-3,-2560), (-4,-1920), (-5,-1536), (-6,-1280), (-8,-960), (-10,-768), (-12,-640), (-15,-512), (-16,-480), (-20,-384), (-24,-320), (-30,-256), (-32,-240), (-40,-192), (-48,-160), (-60,-128), (-64,-120), (-80,-96).
Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. So the product of all factors of 7680 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 15 x 16 x 20 x 24 x 30 x 32 x 40 x 48 x 60 x 64 x 80 x 96 x 120 x 128 x 160 x 192 x 240 x 256 x 320 x 384 x 480 x 512 x 640 x 768 x 960 x 1280 x 1536 x 1920 x 2560 x 3840 x 7680 = 5.095941111081351e+77.
Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. Prime factors are 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5. So, the product of all prime factors of 7680 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 = 7680.
Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680.Factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96).
To arrange 7680 blocks in all possible ways to form a rectangle, we need to calculate factors of 7680 in pair. Therefore, factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96)