Congruence of Quotient/Examples

Examples of Use of Congruence of Quotient

Example: $8 \equiv 18 \pmod {10}$

\(\ds 8\)

\(\equiv\)

\(\ds 18\)

\(\ds \pmod {10}\)

\(\ds \leadsto \ \ \)

\(\ds \dfrac 8 2\)

\(\equiv\)

\(\ds \dfrac {18} 2\)

\(\ds \pmod {10 / 2}\)

\(\ds \leadsto \ \ \)

\(\ds 4\)

\(\equiv\)

\(\ds 9\)

\(\ds \pmod 5\)

Example: $6 \equiv 36 \pmod {15}$

\(\ds 6\)

\(\equiv\)

\(\ds 36\)

\(\ds \pmod {15}\)

\(\ds \leadsto \ \ \)

\(\ds \dfrac 6 3\)

\(\equiv\)

\(\ds \dfrac {36} 3\)

\(\ds \pmod {15 / 3}\)

\(\ds \leadsto \ \ \)

\(\ds 2\)

\(\equiv\)

\(\ds 12\)

\(\ds \pmod 5\)

\(\ds \leadsto \ \ \)

\(\ds 1\)

\(\equiv\)

\(\ds 6\)

\(\ds \pmod 5\)