2a78=2000+a.100+78=2078+100.a
2078 chia 17=122 dự 4
=> 100.a chia 17 phai du (17-4)=13
100.a-13 chia hết cho17
\(\frac{100a-13}{17}=85a+\frac{15a-13}{17}.\)
15a-13 chia hết cho 17 \(a=\frac{17k+13}{15}=k+\frac{2k+13}{15}\)
2k+13 chia het cho 15 \(k=\frac{15n-13}{2}=7n-6+\frac{n-1}{2}\)=>n=2t+1
=>a=17t+2
t=0=> a=2
DS: 2278