- #1
tomkoolen
- 40
- 1
The question at hand:
Let A be a 10-adic number, not a zero divisor. Proof that a 10-adic number B is dividible by A if 2^q*5^p*B has ends with p+q zeroes.
My work so far:
Because A is not a zero divisor, it is not dividible by all powers of 2 nor 5, so it follows from a theorem that A = 2^q*5^p*C with C invertible and p and q natural numbers. Now I have no clue how to connect this with 0. If anybody could help me out, I would be very grateful.
Thanks in advance.
Let A be a 10-adic number, not a zero divisor. Proof that a 10-adic number B is dividible by A if 2^q*5^p*B has ends with p+q zeroes.
My work so far:
Because A is not a zero divisor, it is not dividible by all powers of 2 nor 5, so it follows from a theorem that A = 2^q*5^p*C with C invertible and p and q natural numbers. Now I have no clue how to connect this with 0. If anybody could help me out, I would be very grateful.
Thanks in advance.