Factors of 8400 in pair are (1, 8400) , (2, 4200) , (3, 2800) , (4, 2100) , (5, 1680) , (6, 1400) , (7, 1200) , (8, 1050) , (10, 840) , (12, 700) , (14, 600) , (15, 560) , (16, 525) , (20, 420) , (21, 400) , (24, 350) , (25, 336) , (28, 300) , (30, 280) , (35, 240) , (40, 210) , (42, 200) , (48, 175) , (50, 168) , (56, 150) , (60, 140) , (70, 120) , (75, 112) , (80, 105) and (84, 100)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 8400 | 1 x 8400 = 8400 |
| 2 and 4200 | 2 x 4200 = 8400 |
| 3 and 2800 | 3 x 2800 = 8400 |
| 4 and 2100 | 4 x 2100 = 8400 |
| 5 and 1680 | 5 x 1680 = 8400 |
| 6 and 1400 | 6 x 1400 = 8400 |
| 7 and 1200 | 7 x 1200 = 8400 |
| 8 and 1050 | 8 x 1050 = 8400 |
| 10 and 840 | 10 x 840 = 8400 |
| 12 and 700 | 12 x 700 = 8400 |
| 14 and 600 | 14 x 600 = 8400 |
| 15 and 560 | 15 x 560 = 8400 |
| 16 and 525 | 16 x 525 = 8400 |
| 20 and 420 | 20 x 420 = 8400 |
| 21 and 400 | 21 x 400 = 8400 |
| 24 and 350 | 24 x 350 = 8400 |
| 25 and 336 | 25 x 336 = 8400 |
| 28 and 300 | 28 x 300 = 8400 |
| 30 and 280 | 30 x 280 = 8400 |
| 35 and 240 | 35 x 240 = 8400 |
| 40 and 210 | 40 x 210 = 8400 |
| 42 and 200 | 42 x 200 = 8400 |
| 48 and 175 | 48 x 175 = 8400 |
| 50 and 168 | 50 x 168 = 8400 |
| 56 and 150 | 56 x 150 = 8400 |
| 60 and 140 | 60 x 140 = 8400 |
| 70 and 120 | 70 x 120 = 8400 |
| 75 and 112 | 75 x 112 = 8400 |
| 80 and 105 | 80 x 105 = 8400 |
| 84 and 100 | 84 x 100 = 8400 |
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 8400. They are called negative pair factors.
Hence, the negative pairs of 8400 would be ( -1 , -8400 ) .
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 8400 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 280 , 300 , 336 , 350 , 400 , 420 , 525 , 560 , 600 , 700 , 840 , 1050 , 1200 , 1400 , 1680 , 2100 , 2800 , 4200 , 8400. So, factors of 8400 in pair are (1,8400), (2,4200), (3,2800), (4,2100), (5,1680), (6,1400), (7,1200), (8,1050), (10,840), (12,700), (14,600), (15,560), (16,525), (20,420), (21,400), (24,350), (25,336), (28,300), (30,280), (35,240), (40,210), (42,200), (48,175), (50,168), (56,150), (60,140), (70,120), (75,112), (80,105), (84,100).
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 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, and 8400
Yes 8400 is a composite number.
No 8400 is not a prime number.
Factors of 8400 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 280 , 300 , 336 , 350 , 400 , 420 , 525 , 560 , 600 , 700 , 840 , 1050 , 1200 , 1400 , 1680 , 2100 , 2800 , 4200 , 8400. therefore mean of factors of 8400 is (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 25 + 28 + 30 + 35 + 40 + 42 + 48 + 50 + 56 + 60 + 70 + 75 + 80 + 84 + 100 + 105 + 112 + 120 + 140 + 150 + 168 + 175 + 200 + 210 + 240 + 280 + 300 + 336 + 350 + 400 + 420 + 525 + 560 + 600 + 700 + 840 + 1050 + 1200 + 1400 + 1680 + 2100 + 2800 + 4200 + 8400) / 60 = 512.53.
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 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. So, factors of 8400 in pair are (1,8400), (2,4200), (3,2800), (4,2100), (5,1680), (6,1400), (7,1200), (8,1050), (10,840), (12,700), (14,600), (15,560), (16,525), (20,420), (21,400), (24,350), (25,336), (28,300), (30,280), (35,240), (40,210), (42,200), (48,175), (50,168), (56,150), (60,140), (70,120), (75,112), (80,105), (84,100).
Negative factors of 8400 are -1, -2, -3, -4, -5, -6, -7, -8, -10, -12, -14, -15, -16, -20, -21, -24, -25, -28, -30, -35, -40, -42, -48, -50, -56, -60, -70, -75, -80, -84, -100, -105, -112, -120, -140, -150, -168, -175, -200, -210, -240, -280, -300, -336, -350, -400, -420, -525, -560, -600, -700, -840, -1050, -1200, -1400, -1680, -2100, -2800, -4200, -8400. Hence, factors of 8400 in pair are (-1,-8400), (-2,-4200), (-3,-2800), (-4,-2100), (-5,-1680), (-6,-1400), (-7,-1200), (-8,-1050), (-10,-840), (-12,-700), (-14,-600), (-15,-560), (-16,-525), (-20,-420), (-21,-400), (-24,-350), (-25,-336), (-28,-300), (-30,-280), (-35,-240), (-40,-210), (-42,-200), (-48,-175), (-50,-168), (-56,-150), (-60,-140), (-70,-120), (-75,-112), (-80,-105), (-84,-100).
Factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. Positive factors of 8400 in pair are (1,8400), (2,4200), (3,2800), (4,2100), (5,1680), (6,1400), (7,1200), (8,1050), (10,840), (12,700), (14,600), (15,560), (16,525), (20,420), (21,400), (24,350), (25,336), (28,300), (30,280), (35,240), (40,210), (42,200), (48,175), (50,168), (56,150), (60,140), (70,120), (75,112), (80,105), (84,100). Negative factors of 8400 in pair are (-1,-8400), (-2,-4200), (-3,-2800), (-4,-2100), (-5,-1680), (-6,-1400), (-7,-1200), (-8,-1050), (-10,-840), (-12,-700), (-14,-600), (-15,-560), (-16,-525), (-20,-420), (-21,-400), (-24,-350), (-25,-336), (-28,-300), (-30,-280), (-35,-240), (-40,-210), (-42,-200), (-48,-175), (-50,-168), (-56,-150), (-60,-140), (-70,-120), (-75,-112), (-80,-105), (-84,-100).
Factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. So the product of all factors of 8400 would be 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 10 x 12 x 14 x 15 x 16 x 20 x 21 x 24 x 25 x 28 x 30 x 35 x 40 x 42 x 48 x 50 x 56 x 60 x 70 x 75 x 80 x 84 x 100 x 105 x 112 x 120 x 140 x 150 x 168 x 175 x 200 x 210 x 240 x 280 x 300 x 336 x 350 x 400 x 420 x 525 x 560 x 600 x 700 x 840 x 1050 x 1200 x 1400 x 1680 x 2100 x 2800 x 4200 x 8400 = 5.350305513683159e+117.
Factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. Prime factors are 2, 2, 2, 2, 3, 5, 5, 7. So, the product of all prime factors of 8400 would be 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 = 8400.
Factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400.Factors of 8400 in pair are (1,8400), (2,4200), (3,2800), (4,2100), (5,1680), (6,1400), (7,1200), (8,1050), (10,840), (12,700), (14,600), (15,560), (16,525), (20,420), (21,400), (24,350), (25,336), (28,300), (30,280), (35,240), (40,210), (42,200), (48,175), (50,168), (56,150), (60,140), (70,120), (75,112), (80,105), (84,100).
To arrange 8400 blocks in all possible ways to form a rectangle, we need to calculate factors of 8400 in pair. Therefore, factors of 8400 in pair are (1,8400), (2,4200), (3,2800), (4,2100), (5,1680), (6,1400), (7,1200), (8,1050), (10,840), (12,700), (14,600), (15,560), (16,525), (20,420), (21,400), (24,350), (25,336), (28,300), (30,280), (35,240), (40,210), (42,200), (48,175), (50,168), (56,150), (60,140), (70,120), (75,112), (80,105), (84,100)