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ganeshie8
 one year ago
show that
12345678987654321 ≡ 0 (mod 12345679)
ganeshie8
 one year ago
show that 12345678987654321 ≡ 0 (mod 12345679)

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UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2so we're in modulo 12345679 ... and we need a zero remainder.. oh wow. x.x

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2like how many cycles of 12345679 do we have to go through to reach 12345678987654321

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0Yes im sure it has a pretty neat solution :)

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.1i've done this problem before :D

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2Facebook pages have taught me that \(111111111^2 = 12345678987654321\)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2_! This is from the same book that I've used last year. I'm not sure if I made my professor solve this one lol

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0Haha what has that anything to do with the present problem

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2The missing 8 in 12345679 is mildly annoying.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2that's number 7b. page 52 x)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2personally , I like the previous problems on page 51 XD

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2\[12345679 \times 10^9 = 12345679000000000\]subtract 12345679 from this number. Woohoo.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2I know that it's ugly, but what's a better way to show that something divides something other than actually finding their ratio? :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.012345678987654321=123456799876543211000000000 =12345679000000000+9876543211000000000 the first term divided by 12345679 has remainder =0 And 1000000000+987654321=12345679 divided by 12345679 remain 0 hence 12345678987654321\(\equiv\) 0 (mod 12345679)

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.112345678987654321=999999999*12345679

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1was thinking of that the moment i saw it @zzr0ck3r :P

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0that factorization is pretty @ParthKohli / @OOOPS method is really clever!
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