late 15c., "sign, portent, something extraordinary from which omens are drawn," from Latin prodigium "prophetic sign, omen, portent, prodigy," from pro "forth, before" (see pro-) + -igium, a suffix or word of unknown origin, perhaps from the same source as aio "I say" (see adage). Meaning "child with exceptional abilities" first recorded 1650s. Related: Prodigial.