Răspuns:
Explicație pas cu pas:
n : 65 = cat restul < 65; rest = 7 × cat < 65 ⇒ 0 < catul ≤ 9
catul poate fi: 1, 2, 3, 4, 5, 6, 7, 8 si 9
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n = 65 × cat + rest
n = 65 × cat + 7 × cat
n = 72 × cat
n = 72 × 1; = 72 × 2; = 72 × 3; = 72 × 4; = 72 × 5; = 72 × 6; = 72 × 7;
= 72 × 8; = 72 × 9
⇔ n = 72, 144; 216, 288, 360, 432, 504, 576, 648
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Sau:
n : 65 = 1 rest 7 ⇒ n = 1 × 65 + 7 = 72 → deimpartitul
n : 65 = 2 rest 14 ⇒ n = 2 × 65 + 14 = 144
n : 65 = 3 rest 21 ⇒ n = 3 × 65 + 21 = 216
n : 65 = 4 rest 28 ⇒ n = 4 × 65 + 28 = 288
n : 65 = 5 rest 35 ⇒ n = 5 × 65 + 35 = 360
n : 65 = 6 rest 42 ⇒ n = 6 × 65 + 42 = 432
n : 65 = 7 rest 49 ⇒ n = 7 × 65 + 49 = 504
n : 65 = 8 rest 56 ⇒ n = 8 × 65 + 56 = 576
n : 65 = 9 rest 63 ⇒ n = 9 × 65 + 63 = 648
