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# Is 2^n never divisible by 3? Watch

1. 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?
2. 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.
3. existence and uniqueness of prime factorisation
4. (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
5. (Original post by 13 1 20 8 42)
existence and uniqueness of prime factorisation
thank you I think I get this now

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