Thanks, lanedance!
With
(17a+16)(17b+3) = a sum whose parts have 17 as a factor... + 48 = 19 (mod 17.)
19 is the remainder.
So, I guess my question is, just to have a clear understanding, that you <i>can</i> split up the product? And by representing the number 3^24 and some sum (17a+16) and...
Number Theory -- Find Remainder .. when dividing by 17
Homework Statement
Find the remainder when 3^24*5^13 is divided by 17.
Homework Equations
I know that 3^24 = 16 (mod 17)
and calculated that 5^13 mod 17 = 3 (mod 17)
The Attempt at a Solution
BUT, I'm completely unsure...