Factors of 2016

Factoring Factors of 2016 in pairs

Use the form below to do your conversion, separate numbers by comma.






Factors of 2016

=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 that add up to numbers

Factors of 2016 that add up to 6552 =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 that add up to 3 = 1 + 2

Factors of 2016 that add up to 6 = 1 + 2 + 3

Factors of 2016 that add up to 10 = 1 + 2 + 3 + 4

Factor of 2016 in pairs

1 x 2016, 2 x 1008, 3 x 672, 4 x 504, 6 x 336, 7 x 288, 8 x 252, 9 x 224, 12 x 168, 14 x 144, 16 x 126, 18 x 112, 21 x 96, 24 x 84, 28 x 72, 32 x 63, 36 x 56, 42 x 48, 48 x 42, 56 x 36, 63 x 32, 72 x 28, 84 x 24, 96 x 21, 112 x 18, 126 x 16, 144 x 14, 168 x 12, 224 x 9, 252 x 8, 288 x 7, 336 x 6, 504 x 4, 672 x 3, 1008 x 2, 2016 x 1

1 and 2016 are a factor pair of 2016 since 1 x 2016= 2016

2 and 1008 are a factor pair of 2016 since 2 x 1008= 2016

3 and 672 are a factor pair of 2016 since 3 x 672= 2016

4 and 504 are a factor pair of 2016 since 4 x 504= 2016

6 and 336 are a factor pair of 2016 since 6 x 336= 2016

7 and 288 are a factor pair of 2016 since 7 x 288= 2016

8 and 252 are a factor pair of 2016 since 8 x 252= 2016

9 and 224 are a factor pair of 2016 since 9 x 224= 2016

12 and 168 are a factor pair of 2016 since 12 x 168= 2016

14 and 144 are a factor pair of 2016 since 14 x 144= 2016

16 and 126 are a factor pair of 2016 since 16 x 126= 2016

18 and 112 are a factor pair of 2016 since 18 x 112= 2016

21 and 96 are a factor pair of 2016 since 21 x 96= 2016

24 and 84 are a factor pair of 2016 since 24 x 84= 2016

28 and 72 are a factor pair of 2016 since 28 x 72= 2016

32 and 63 are a factor pair of 2016 since 32 x 63= 2016

36 and 56 are a factor pair of 2016 since 36 x 56= 2016

42 and 48 are a factor pair of 2016 since 42 x 48= 2016

48 and 42 are a factor pair of 2016 since 48 x 42= 2016

56 and 36 are a factor pair of 2016 since 56 x 36= 2016

63 and 32 are a factor pair of 2016 since 63 x 32= 2016

72 and 28 are a factor pair of 2016 since 72 x 28= 2016

84 and 24 are a factor pair of 2016 since 84 x 24= 2016

96 and 21 are a factor pair of 2016 since 96 x 21= 2016

112 and 18 are a factor pair of 2016 since 112 x 18= 2016

126 and 16 are a factor pair of 2016 since 126 x 16= 2016

144 and 14 are a factor pair of 2016 since 144 x 14= 2016

168 and 12 are a factor pair of 2016 since 168 x 12= 2016

224 and 9 are a factor pair of 2016 since 224 x 9= 2016

252 and 8 are a factor pair of 2016 since 252 x 8= 2016

288 and 7 are a factor pair of 2016 since 288 x 7= 2016

336 and 6 are a factor pair of 2016 since 336 x 6= 2016

504 and 4 are a factor pair of 2016 since 504 x 4= 2016

672 and 3 are a factor pair of 2016 since 672 x 3= 2016

1008 and 2 are a factor pair of 2016 since 1008 x 2= 2016

2016 and 1 are a factor pair of 2016 since 2016 x 1= 2016






Solution

Converting factors of 2016

Factors are numbers that can divide without remainder.

Factors of 2016

2016/1 = 2016         gives remainder 0 and so are divisible by 1
2016/2 = 1008         gives remainder 0 and so are divisible by 2
2016/3 = 672         gives remainder 0 and so are divisible by 3
2016/4 = 504         gives remainder 0 and so are divisible by 4
2016/6 = 336         gives remainder 0 and so are divisible by 6
2016/7 = 288         gives remainder 0 and so are divisible by 7
2016/8 = 252         gives remainder 0 and so are divisible by 8
2016/9 = 224         gives remainder 0 and so are divisible by 9
2016/12 = 168         gives remainder 0 and so are divisible by 12
2016/14 = 144         gives remainder 0 and so are divisible by 14
2016/16 = 126         gives remainder 0 and so are divisible by 16
2016/18 = 112         gives remainder 0 and so are divisible by 18
2016/21 = 96         gives remainder 0 and so are divisible by 21
2016/24 = 84         gives remainder 0 and so are divisible by 24
2016/28 = 72         gives remainder 0 and so are divisible by 28
2016/32 = 63         gives remainder 0 and so are divisible by 32
2016/36 = 56         gives remainder 0 and so are divisible by 36
2016/42 = 48         gives remainder 0 and so are divisible by 42
2016/48 = 42         gives remainder 0 and so are divisible by 48
2016/56 = 36         gives remainder 0 and so are divisible by 56
2016/63 = 32         gives remainder 0 and so are divisible by 63
2016/72 = 28         gives remainder 0 and so are divisible by 72
2016/84 = 24         gives remainder 0 and so are divisible by 84
2016/96 = 21         gives remainder 0 and so are divisible by 96
2016/112 = 18         gives remainder 0 and so are divisible by 112
2016/126 = 16         gives remainder 0 and so are divisible by 126
2016/144 = 14         gives remainder 0 and so are divisible by 144
2016/168 = 12         gives remainder 0 and so are divisible by 168
2016/224 = 9         gives remainder 0 and so are divisible by 224
2016/252 = 8         gives remainder 0 and so are divisible by 252
2016/288 = 7         gives remainder 0 and so are divisible by 288
2016/336 = 6         gives remainder 0 and so are divisible by 336
2016/504 = 4         gives remainder 0 and so are divisible by 504
2016/672 = 3         gives remainder 0 and so are divisible by 672
2016/1008 = 2         gives remainder 0 and so are divisible by 1008
2016/2016 = 1         gives remainder 0 and so are divisible by 2016


We get factors of 2016 numbers by finding numbers that can divide 2016 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 2016 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 2016

Getting factors is done by dividing 2016 with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.

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