English word productive comes from Late Latin productivus

Detailed word origin of productive

Dictionary entry	Language	Definition
productivus	Late Latin (LL)
productive	English (eng)	(linguistics, of an affix or word construction rule) Consistently applicable to any of an open set of words.. (medicine) Of a cough, producing mucus or sputum from the respiratory tract.. (medicine) Of inflammation, producing new tissue.. (set theory) A type of set of natural numbers, related to mathematical logic.. Capable of producing something, especially in abundance; fertile.. Of, or [...]