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In this paper we provide new examples of property (T) group factors withtrivial fundamental group thereby providing more evidence towards Popa'sconjecture on triviality of fundamental groups for property (T) group factors(page 9 \cite{Po13}; see also Problem 2, page 551 in Connes' book \cite{Co94}).Our groups arise as direct product of groups either in Class $\mathscr S$ orClass $\mathscr V$, as introduced in \cite{CDHK20}. We establish a unique primefactorization result for these product groups, thereby providing more evidencetowards Popa's conjecture on prime decomposition of property (T) factors (page9 \cite{Po13}).

New examples of Property (T) factors with trivial fundamental group and unique prime factorization