SOLUTION: When a positive integer "k" is divided by 6, the remainder is 1. What is the remainder when 5k is divided by 3? thank you very much

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: When a positive integer "k" is divided by 6, the remainder is 1. What is the remainder when 5k is divided by 3? thank you very much      Log On


   

Question 98773: When a positive integer "k" is divided by 6, the remainder is 1. What is the remainder when 5k is divided by 3?
thank you very much
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
k=6n+1 ... divisible by 6 with a remainder of 1

5k=30n+5 ... 5k=30n+3+2 ... divisible by 3 with a remainder of 2