Factors of 2016 in pair are (1, 2016) , (2, 1008) , (3, 672) , (4, 504) , (6, 336) , (7, 288) , (8, 252) , (9, 224) , (12, 168) , (14, 144) , (16, 126) , (18, 112) , (21, 96) , (24, 84) , (28, 72) , (32, 63) , (36, 56) and (42, 48)
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 2016 | 1 x 2016 = 2016 |
| 2 and 1008 | 2 x 1008 = 2016 |
| 3 and 672 | 3 x 672 = 2016 |
| 4 and 504 | 4 x 504 = 2016 |
| 6 and 336 | 6 x 336 = 2016 |
| 7 and 288 | 7 x 288 = 2016 |
| 8 and 252 | 8 x 252 = 2016 |
| 9 and 224 | 9 x 224 = 2016 |
| 12 and 168 | 12 x 168 = 2016 |
| 14 and 144 | 14 x 144 = 2016 |
| 16 and 126 | 16 x 126 = 2016 |
| 18 and 112 | 18 x 112 = 2016 |
| 21 and 96 | 21 x 96 = 2016 |
| 24 and 84 | 24 x 84 = 2016 |
| 28 and 72 | 28 x 72 = 2016 |
| 32 and 63 | 32 x 63 = 2016 |
| 36 and 56 | 36 x 56 = 2016 |
| 42 and 48 | 42 x 48 = 2016 |
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 2016. They are called negative pair factors.
Hence, the negative pairs of 2016 would be ( -1 , -2016 ) .
Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 2016 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 9 , 12 , 14 , 16 , 18 , 21 , 24 , 28 , 32 , 36 , 42 , 48 , 56 , 63 , 72 , 84 , 96 , 112 , 126 , 144 , 168 , 224 , 252 , 288 , 336 , 504 , 672 , 1008 , 2016. So, factors of 2016 in pair are (1,2016), (2,1008), (3,672), (4,504), (6,336), (7,288), (8,252), (9,224), (12,168), (14,144), (16,126), (18,112), (21,96), (24,84), (28,72), (32,63), (36,56), (42,48).
In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.
Hence, Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, and 2016
Yes 2016 is a composite number.
No 2016 is not a prime number.
Factors of 2016 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 9 , 12 , 14 , 16 , 18 , 21 , 24 , 28 , 32 , 36 , 42 , 48 , 56 , 63 , 72 , 84 , 96 , 112 , 126 , 144 , 168 , 224 , 252 , 288 , 336 , 504 , 672 , 1008 , 2016. therefore mean of factors of 2016 is (1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 28 + 32 + 36 + 42 + 48 + 56 + 63 + 72 + 84 + 96 + 112 + 126 + 144 + 168 + 224 + 252 + 288 + 336 + 504 + 672 + 1008 + 2016) / 36 = 182.00.
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 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016. So, factors of 2016 in pair are (1,2016), (2,1008), (3,672), (4,504), (6,336), (7,288), (8,252), (9,224), (12,168), (14,144), (16,126), (18,112), (21,96), (24,84), (28,72), (32,63), (36,56), (42,48).
Negative factors of 2016 are -1, -2, -3, -4, -6, -7, -8, -9, -12, -14, -16, -18, -21, -24, -28, -32, -36, -42, -48, -56, -63, -72, -84, -96, -112, -126, -144, -168, -224, -252, -288, -336, -504, -672, -1008, -2016. Hence, factors of 2016 in pair are (-1,-2016), (-2,-1008), (-3,-672), (-4,-504), (-6,-336), (-7,-288), (-8,-252), (-9,-224), (-12,-168), (-14,-144), (-16,-126), (-18,-112), (-21,-96), (-24,-84), (-28,-72), (-32,-63), (-36,-56), (-42,-48).
Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016. Positive factors of 2016 in pair are (1,2016), (2,1008), (3,672), (4,504), (6,336), (7,288), (8,252), (9,224), (12,168), (14,144), (16,126), (18,112), (21,96), (24,84), (28,72), (32,63), (36,56), (42,48). Negative factors of 2016 in pair are (-1,-2016), (-2,-1008), (-3,-672), (-4,-504), (-6,-336), (-7,-288), (-8,-252), (-9,-224), (-12,-168), (-14,-144), (-16,-126), (-18,-112), (-21,-96), (-24,-84), (-28,-72), (-32,-63), (-36,-56), (-42,-48).
Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016. So the product of all factors of 2016 would be 1 x 2 x 3 x 4 x 6 x 7 x 8 x 9 x 12 x 14 x 16 x 18 x 21 x 24 x 28 x 32 x 36 x 42 x 48 x 56 x 63 x 72 x 84 x 96 x 112 x 126 x 144 x 168 x 224 x 252 x 288 x 336 x 504 x 672 x 1008 x 2016 = 3.025725322559871e+59.
Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016. Prime factors are 2, 2, 2, 2, 2, 3, 3, 7. So, the product of all prime factors of 2016 would be 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 2016.
Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016.Factors of 2016 in pair are (1,2016), (2,1008), (3,672), (4,504), (6,336), (7,288), (8,252), (9,224), (12,168), (14,144), (16,126), (18,112), (21,96), (24,84), (28,72), (32,63), (36,56), (42,48).
To arrange 2016 blocks in all possible ways to form a rectangle, we need to calculate factors of 2016 in pair. Therefore, factors of 2016 in pair are (1,2016), (2,1008), (3,672), (4,504), (6,336), (7,288), (8,252), (9,224), (12,168), (14,144), (16,126), (18,112), (21,96), (24,84), (28,72), (32,63), (36,56), (42,48)