Solve the Problem $\mathrm { M } _ { 14 }$

question 103

Essay

Solve the problem.
-Given that the following statement is true, explain how you would use this fact to find two distinct factors of the Mersenne number $\mathrm { M } _ { 14 }$ . Then calculate those two factors.
"If $\mathrm { p }$ is a prime factor of $\mathrm { n }$ , then $2 \mathrm { p } - 1$ is a factor of the Mersenne number $2 ^ { \mathrm { n } } - 1$ ."