The Student Room Group

Is 2^n never divisible by 3?

In my proof to a question I state that 2^n is not divisible by 3, but is this always true? And why is it true?
well, if you know that every number greater than or equal to 2 can be expressed as a product of prime numbers...
and 3 is a prime number...
and 2^n is a product of n 2's...
there you go.
Reply 2
existence and uniqueness of prime factorisation
Reply 3
Original post by shawn_o1
well, if you know that every number greater than or equal to 2 can be expressed as a product of prime numbers...
and 3 is a prime number...
and 2^n is a product of n 2's...
there you go.


ohhh that makes sense
thank you so much :smile:
Reply 4
Original post by 1 8 13 20 42
existence and uniqueness of prime factorisation


thank you I think I get this now

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