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Aug 13 2009
好きな3桁の数字を適当に考える
たとえば236
それを二回続ける
236236
このようにしてできた数字は必ず7で割り切れるのだ

好きな3桁の数字を適当に思い浮かべて下さい|2chコピペ保存道場

元の数=100a+10b+cとすると2回続けて出来る数は
100000a+10000b+1000c+100a+10b+c
=100100a+10010b+1001c
=1001(100a+10b+c) ←1001で割り切れる(米1
=7*11*13(100a+10b+c)
よって、7だけでなく11・13でも割り切れる。

No.64647 | 2009-07-29 18:25 名無しのコピペ ◆mQop/nM

(via sametimesameplace) (via theemitter) (via msnr) (via mooncalf) (via 337) (via 00a) (via clavier) (via vmconverter)

元の数をaとするとaを2回続けた数字は1000a+a=1001a

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