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but why are we not taking the functional group ie Br in the longest chain? isn't it a rule to always include the functional group of a compound in the longest chain? but here we're actually taking br as a branch :/ whyy2-bromo-2-methylpropane
The longest chain has 3 carbons.
The second carbon has a bromine atom and a methyl group attached. Perhaps it's easier to understand if the compound is written like this:
CH3C(CH3)BrCH3