Factors of 1680 in pair are (1, 1680) , (2, 840) , (3, 560) , (4, 420) , (5, 336) , (6, 280) , (7, 240) , (8, 210) , (10, 168) , (12, 140) , (14, 120) , (15, 112) , (16, 105) , (20, 84) , (21, 80) , (24, 70) , (28, 60) , (30, 56) , (35, 48) and (40, 42)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 1680 | 1 x 1680 = 1680 |
| 2 and 840 | 2 x 840 = 1680 |
| 3 and 560 | 3 x 560 = 1680 |
| 4 and 420 | 4 x 420 = 1680 |
| 5 and 336 | 5 x 336 = 1680 |
| 6 and 280 | 6 x 280 = 1680 |
| 7 and 240 | 7 x 240 = 1680 |
| 8 and 210 | 8 x 210 = 1680 |
| 10 and 168 | 10 x 168 = 1680 |
| 12 and 140 | 12 x 140 = 1680 |
| 14 and 120 | 14 x 120 = 1680 |
| 15 and 112 | 15 x 112 = 1680 |
| 16 and 105 | 16 x 105 = 1680 |
| 20 and 84 | 20 x 84 = 1680 |
| 21 and 80 | 21 x 80 = 1680 |
| 24 and 70 | 24 x 70 = 1680 |
| 28 and 60 | 28 x 60 = 1680 |
| 30 and 56 | 30 x 56 = 1680 |
| 35 and 48 | 35 x 48 = 1680 |
| 40 and 42 | 40 x 42 = 1680 |
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 1680. They are called negative pair factors.
Hence, the negative pairs of 1680 would be ( -1 , -1680 ) .
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 1680 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 28 , 30 , 35 , 40 , 42 , 48 , 56 , 60 , 70 , 80 , 84 , 105 , 112 , 120 , 140 , 168 , 210 , 240 , 280 , 336 , 420 , 560 , 840 , 1680. So, factors of 1680 in pair are (1,1680), (2,840), (3,560), (4,420), (5,336), (6,280), (7,240), (8,210), (10,168), (12,140), (14,120), (15,112), (16,105), (20,84), (21,80), (24,70), (28,60), (30,56), (35,48), (40,42).
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 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, and 1680
Yes 1680 is a composite number.
No 1680 is not a prime number.
Factors of 1680 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 28 , 30 , 35 , 40 , 42 , 48 , 56 , 60 , 70 , 80 , 84 , 105 , 112 , 120 , 140 , 168 , 210 , 240 , 280 , 336 , 420 , 560 , 840 , 1680. therefore mean of factors of 1680 is (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 35 + 40 + 42 + 48 + 56 + 60 + 70 + 80 + 84 + 105 + 112 + 120 + 140 + 168 + 210 + 240 + 280 + 336 + 420 + 560 + 840 + 1680) / 40 = 148.80.
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 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680. So, factors of 1680 in pair are (1,1680), (2,840), (3,560), (4,420), (5,336), (6,280), (7,240), (8,210), (10,168), (12,140), (14,120), (15,112), (16,105), (20,84), (21,80), (24,70), (28,60), (30,56), (35,48), (40,42).
Negative factors of 1680 are -1, -2, -3, -4, -5, -6, -7, -8, -10, -12, -14, -15, -16, -20, -21, -24, -28, -30, -35, -40, -42, -48, -56, -60, -70, -80, -84, -105, -112, -120, -140, -168, -210, -240, -280, -336, -420, -560, -840, -1680. Hence, factors of 1680 in pair are (-1,-1680), (-2,-840), (-3,-560), (-4,-420), (-5,-336), (-6,-280), (-7,-240), (-8,-210), (-10,-168), (-12,-140), (-14,-120), (-15,-112), (-16,-105), (-20,-84), (-21,-80), (-24,-70), (-28,-60), (-30,-56), (-35,-48), (-40,-42).
Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680. Positive factors of 1680 in pair are (1,1680), (2,840), (3,560), (4,420), (5,336), (6,280), (7,240), (8,210), (10,168), (12,140), (14,120), (15,112), (16,105), (20,84), (21,80), (24,70), (28,60), (30,56), (35,48), (40,42). Negative factors of 1680 in pair are (-1,-1680), (-2,-840), (-3,-560), (-4,-420), (-5,-336), (-6,-280), (-7,-240), (-8,-210), (-10,-168), (-12,-140), (-14,-120), (-15,-112), (-16,-105), (-20,-84), (-21,-80), (-24,-70), (-28,-60), (-30,-56), (-35,-48), (-40,-42).
Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680. So the product of all factors of 1680 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 28 x 30 x 35 x 40 x 42 x 48 x 56 x 60 x 70 x 80 x 84 x 105 x 112 x 120 x 140 x 168 x 210 x 240 x 280 x 336 x 420 x 560 x 840 x 1680 = 3.207640102873334e+64.
Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680. Prime factors are 2, 2, 2, 2, 3, 5, 7. So, the product of all prime factors of 1680 would be 2 x 2 x 2 x 2 x 3 x 5 x 7 = 1680.
Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680.Factors of 1680 in pair are (1,1680), (2,840), (3,560), (4,420), (5,336), (6,280), (7,240), (8,210), (10,168), (12,140), (14,120), (15,112), (16,105), (20,84), (21,80), (24,70), (28,60), (30,56), (35,48), (40,42).
To arrange 1680 blocks in all possible ways to form a rectangle, we need to calculate factors of 1680 in pair. Therefore, factors of 1680 in pair are (1,1680), (2,840), (3,560), (4,420), (5,336), (6,280), (7,240), (8,210), (10,168), (12,140), (14,120), (15,112), (16,105), (20,84), (21,80), (24,70), (28,60), (30,56), (35,48), (40,42)