How much longer will it take to pay off a $$300,000$ loan with monthly payments of $$3,000$ than with monthly payments of $$3,100?$ The interest rate on the loan is $10\mathrm{.}80\%$ compounded monthly. $($Do not round intermediate calculations and round up the number of payments, $n,$ to the next whole number.$)$

Difference year$($s$)$ and month$($s$).$