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A,B,C,D,E,F,G,H,I 為不同的數字，由1到9.

求　ABCD x EFGHI 的最大乘積。

 http://mypaper.pchome.com.tw/littleflea/post/1312364457

( 數字6 撲朔解：

Ans : 11 --- 1

Ans : 105263157894736842  --- 2

An : 1034482758620689655172413793 --- 3

Ans : 102564 --- 4

Ans : 1016949152542372881355932203389830508474576271186440674576271186440677966   -- 6

Ans : 1014492753623188405797 --- 7

Ans : 1012658227848 --- 8

Ans : 10112359550561797752808988764044943820224719--- 9　

 

N ＝ 5 ,請自行求解。）

 

(*N ＝ 5 ,102040816326530612244897959183673469387755 )

(**N = 2 , 105263157894736842 

 

  若尾數為3

                  157894736842105263 x 2 = 315789473684210526  )      

*** 

有某正整數，把尾巴的2，移到最前面，是原數的2倍

105263157894736842 x 2
= 210526315789473684

若尾數為3

157894736842105263 x 2 = 315789473684210526
= 105263157894736842 x 3

(*157894736842105263　是105263157894736842　把數字157894736842
移到最前面。）

若尾數為 4

210526315789473684 x 2 = 421052631578947368
= 105263157894736842 x 4

若尾數為 5,6,6,7,8,9

也竟然都是同樣奇妙！

105263157894736842　是個奇妙的數字！ 

 

****奇妙！

2/19 = 0.105263157894736842...

3/19 = 0.157894736842105263...

4/19 = 0.210526315789473684...

5/19 = 0.263157894736842105