求36,72,480,1024的因數~!!!(分開)

36的因數

1,2,3,4,6,9,12,24,36

72的因數

1,2,3,4,6,8,9,12,18,24,72

480的因數

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,96,120,160,240,480

1024的因數

1,2,4,8,16,32,64,128,256,512,1024

2007-01-22 13:54:38 補充：
wrong36的因數1,2,3,4,6,9,12,24,36should be36的因數1,2,3,4,6,9,12,18,36

2007-01-22 13:56:22 補充：
wrong72的因數1,2,3,4,6,8,9,12,18,24,72should be72的因數1,2,3,4,6,8,9,12,18,24,36,72

2007-01-22 14:02:45 補充：
wrong480的因數1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,96,120,160,240,480should be480的因數1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

1.36=2^2*3^2,so 36的因數 have 1,2,3,4,6,9,16,32

2.72=2^3*3^2,so 72的因數 have 1,2,3,4,6,8,9,12,18,24,36,72

3.480=2^5*3*5,so 480的因數 have 1,2,3,4,5,6,8,10,15,16,32

4.1024=2^10,so 1024的因數 have 1,2,4,8,16,32,64,128,256,512,1024

計算因數的正確方法：

【Factor】 - When a number is divisible (divided exactly) by another number, then the second number is a factor of the first.

【因數】 - 當一個數字能夠被另一個數字整除, 那第二個數字就是第一個數字的因子

例如: 12 ÷ 4, 12可被4整除, 因此4就是12的因子

用以下方式計算, 由小數字開始去除, 逐一列出可被整除, 再順序寫出, 一定不會出錯, 在列出因數時再三覆核算式數字, 那一定不會遺漏。 計這些數最易錯的地方就是大意，計漏和寫少。

36 = 1 x 36
= 2 x 18
= 3 x 12
= 4 x 9
= 6 x 6
∴ the factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.

72 = 1 x 72
= 2 x 36
= 3 x 24
= 4 x 18
= 6 x 12
= 8 x 9

∴ the factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

480 = 1 x 480
= 2 x 240
= 3 x 160
= 4 x 120
= 5 x 96
= 6 x 80
= 8 x 60
= 10 x 48
= 12 x 40
= 15 x 32
= 16 x 30
= 20 x 24

∴ the factors of 480 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.

1024 = 1 x 1024
= 2 x 512
= 4 x 256
= 8 x 128
= 16 x 64
= 32 x 32

∴ the factors of 1024 are: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024.

36: 1,2,3,4,9,12,18,36
72:1,2,3,4,6,8,9,12,18,24,36,72
480:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
1024:1,2,4,8,16,32,64,128,256,512,1024

在一個乘式中，把幾個數相乘起來，這些數都稱為做積的因數（factor）。例如：2×3＝6，則２，３都是6的因數，而6則為這二個數的倍數(multiple)；也可以說是：甲數能被乙數整除，乙數就是甲數的因數。反過來，甲數就是乙數的倍數。

2007-01-22 14:17:56 補充：
要知自己有沒有漏列因數的方法比如 要找36的因數由1開始列: 1 36然後 1 2 18 36 1 2 3 12 18 36 1 2 3 4 9 12 18 36這樣列你會發現左邊和右邊的數目字，相差愈來愈小，即是就快列出所有。

2007-01-22 14:18:18 補充：
此外, 你要留意試 2,3 這個 - 若沒有2，就沒有雙數，因數即不可能出現4,6,8,10,12,...- 若沒有3，就沒有9,12,15,..... 這樣對起初列數很有效，可以跳過不計 例: 32的因數 1,2,4, (不用試6)像480那條若起首例出5, 順著列時，就記得也要列15

36的因數:1,2,3,4,6,9,12,36
72的因數:1,2,3,4,6,8,9,12,18,24,36,72
480的因數:1,2,3,4,5,6,8,96,120,160,240,480
1024的因數:1,2,4,8,128,256,512,1024