forem711 forem711

06-07-2018
Mathematics

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if n is an integer and 2^n is a factor of 123456789, what is the greatest possible value of n?

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konrad509 konrad509

06-07-2018

[tex]1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9=\\ 1\cdot2\cdot3\cdot2^2\cdot5\cdot2\cdot3\cdot7\cdot2^3\cdot9=\\ 2^{7}\cdot1\cdot3\cdot5\cdot3\cdot7\cdot9[/tex]

So it's [tex]n=7[/tex].

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