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#1 2007-06-30 22:43:31
- Identity
- Member
- Registered: 2007-04-18
- Posts: 934
Divisibility
I was reading this number theory book and there was part where it gave
and it said "Since ac is divisible by b according to our assumption, this relation shows that
is divisible by b.But how???
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#2 2007-06-30 23:15:56
- JaneFairfax
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- Registered: 2007-02-23
- Posts: 6,868
Re: Divisibility
If ac is divisible by b, ac plus or minus any multiple of b is also divisible by b. In particular, r[sub]1[/sub]c = ac−q[sub]1[/sub]bc is divisible by b.
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