Why are Powers of 2 not divisible by 3? I'd think by chance it would be but the fact that it's never. Then I'd think that
there's obviously a rule about it, like "the dual power triforce dividing rule" or something, but I've seen no mention.
Is this interesting, or a DUH that my brain doesn't quite get.
https://docs.google.com/spreadsheets/d/ ... ingle=true
Numberwang
Re: Numberwang
Well- I mean- as a "power of two" any of them can ultimately only break down to the prime numbers of 2. By your definition, they can't be broken down to a factor of three. I feel like you're setting up your definition to exclude a factor of three because every number is going to be 2x2 or 2x2x2 or 2x2x2x2 and so on.
Re: Numberwang
Hmmm... I think I'm starting to get it.
Now seeing that any power of 2 is not divisible by 3,5,7,11,13, and I'm assuming any future odd/prime numbers.
And the basic that odd*odd = odd, and odd*even = even
And... I'm lost again. WAIT I think I'm getting it.
3, 9, 27, 81, no other primes divide with those
25, 125, same
49 same
Ok, so all powers of a prime number, when broke down to their smallest non-1 divisible components are all that prime number.
So Prime to the positive n power cannot is not divisible by any other prime number.
Whew. Ok.
Now seeing that any power of 2 is not divisible by 3,5,7,11,13, and I'm assuming any future odd/prime numbers.
And the basic that odd*odd = odd, and odd*even = even
And... I'm lost again. WAIT I think I'm getting it.
3, 9, 27, 81, no other primes divide with those
25, 125, same
49 same
Ok, so all powers of a prime number, when broke down to their smallest non-1 divisible components are all that prime number.
So Prime to the positive n power cannot is not divisible by any other prime number.
Whew. Ok.
Last edited by poorpete on Thu Jan 23, 2020 3:50 pm, edited 2 times in total.
Re: Numberwang
That's numberwang!
Thanks Kyle
Thanks Kyle
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