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If m=6 mod 9 and n=0 mod 9 , then what is the largest integer that mn is necessarily divisible by?

 Aug 5, 2016
 #1
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Changing them to mod 10

m=9a+6=3(3a+2)

n=9b=3×3b

a and b are integers.

It is possible that n is 0 all (any mod) but if it is not the answer is 3.

 Aug 5, 2016
 #2
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The answer isn't 3.

PS, the recapcha thing validiator is so annoying! crying

TheNewuser  Aug 5, 2016
 #3
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m = 3s, n = 9t, so mn = 27st will be divisible by 27.

 Aug 5, 2016
 #4
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THANKS!

it's correct  :)

TheNewuser  Aug 5, 2016
 #5
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Nice work guest :)

Melody  Aug 5, 2016

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