Question

For some integers a and 3 , there exist a unique integers q and r such that a=3q+r . Find the possible remainder

Answer 1

the possible remainders are 1,0,2,....

Step-by-step explanation:

if a=3 then 3×1+0

if a=4 then 3×1+1

if a = 5 then 3×1+2

if a =6 then 3×2+0

division goes on....