Raspuns:
48 : i = cat rest 3 => i > 3
c × i = 48 - 3
c × i = 45 ⇒ impartitorul poate fi: 5, 9, 15 si 45 > 3 ( restul)
catul ; 9, 5, 3 si 1
45 = i × c = 5 × 9 = 9 × 5 = 15 × 3 = 45 × 1
Verific:
48 : 5 = 9 rest 3
48 : 9 = 5 rest 3
48 : 15 = 3 rest 3
48 : 45 = 1 rest 3
Solutii: ( impartitor, cat ) = ( 5, 9); ( 9, 5); ( 15, 3) si ( 45, 1 )
