Jelly, 10 bytes
DŒPḌḟiⱮÆfẠ How it works
DŒPḌḟiⱮÆfẠ - Main link. Takes an integer n on the left D - Digits of n ŒP - Powerset of the digits Ḍ - Convert back to integers ḟ - Remove n from this list Æf - Yield the prime factors of n Ɱ - Over each prime factor: i - Index of the factor in the powerset, or 0 Ạ - All are true?