Tìm \(a\in N\) để:
a) \(\overline{357a}⋮2\)
b) \(\overline{429a}⋮5\)
c) \(\overline{3a51a}⋮9\)
d) \(\overline{4a231}⋮3\)
e) \(\overline{5a37a}⋮10\)
VD: \(\overline{7a54a1}⋮3\)
\(\overline{7a54a1}⋮3\) khi (7+a+5+4+a+1) \(⋮3\)
\(\Rightarrow\left(17+2a\right)⋮3\)
\(\Rightarrow\left(18+2a-1\right)⋮3\)
Vì \(18⋮3\) nên (2a-1)\(⋮3\) mà a\(\in N\), a\(\le9\) nên \(a\in\left\{2;5;8\right\}\)
Loga
Toán lớp 6
