"When the Messenger of Allah ﷺ would give the Salam he would do so three times, and when he would say a statement, he would say it three times." (Using translation from Tirmidhī 2723)
أَنَّ رَسُولَ اللهِ ﷺ كَانَ إِذَا تَكَلَّمَ بِكَلِمَةٍ رَدَّدَهَا ثَلَاثًا وَإِذَا أَتَى قَوْمًا فَسَلَّمَ عَلَيْهِمْ عَلَيْهِمْ سَلَّمَ ثَلَاثًا