Question

prin impartirea unui nr natural la 24 se obtine rest 16. aratati ca nr se divide cu 8

Answer 1

a : 24 = c rest 16

a = c*24 + 16

a | 8 <=> c*24 + 16 | 8 => c*24 + 16 ∈ D₈

                                          c*24 + 16 ∈ { 1,8,2,4 } | -16

                                          c*24 ∈ { -15, -8 , -14 , -12 } | : 24

                                          c ∈ { -15/24 , -8/24 , -14/24, -12/24 }

                                          c ∈ { -5/8 , -1/3 , -7/12 , -1/2 } => a | 8