When n is a factor of a number, all factors of n are also factors of the number

This would be True. For example. If your number is 24, and 'n' is 12 (a factor of 24)

your factors of 12 (12, 6, 4, 3, 2, 1) are also included in the factors of 24 (which are 24, 12, 6, 4, 3, 2, 1)