Bonjour,
| signifie divise.
1) a|b==>k*a|k*b
a|b==>b=q*a==>k*b=k*(q*a)=(k*q)*a=k'*a==>a|b
[tex]2282=8*254+250\\\\
=8*(4*54+38)+4*54+34\\\\
=32*54+8*38+4*54+34\\\\
=32*54+304+4*54+34\\\\
=32*54+5*54+34+4*54+34\\\\
=54*(32+5+4)+68\\\\
=54*41+1*54+14\\\\
=42*54+14\\\\
Donc\ 2290=2282+8=42*54+14+8\\\\
\boxed{2290=42*54+22}\\\\
[/tex]