Where does “prímfaktorizációk” come from?

prímfaktorizációk (Hungarian) comes from Hungarian prímfaktorizáció, from Hungarian prím, from German prim, from Latin prīmus, from Latin prīsmos, from Proto-Italic priisemos, from Proto-Indo-European per-, from Proto-Indo-European pr̥tós — passed , crossed.

Ancestry of “prímfaktorizációk”, step by step

StepLanguageWordMeaning
1Hungarianprímfaktorizációprime factorization, integer factorization
2Hungarianprímprime; first violin, primary violin
3Germanprim
4Latinprīmus
5Latinprīsmos
6Proto-Italicpriisemosforemost, first
7Proto-Indo-Europeanper-before, in front; first; to go through
8Proto-Indo-Europeanpr̥tóspassed , crossed
Every word from Proto-Indo-European pr̥tósEvery word from Proto-Indo-European per-Every word from Proto-Italic priisemos