Answer
$n=2189$
Work Step by Step
Molar mass as a function of n:
$79.904\times3+12.011\times6+1.008\times3+n\times(12.011\times8+1.008\times8)=$
$314.802+n\times104.152\ g/mol$
Mass fraction of Br:
$0.105/100=79.904\times3\div(314.802+n\times104.152)$
Solving for n:
$n=2189$