A number is chosen at random from the set of consecutive natural numbers $\{1, 2, 3, \ldots, 24\}$. What is the probability that the number chosen is a factor of 4? Express your answer as a common fraction.
24 numbers 1 - 24
6 of them are factors of 4
6 out of 24 means 6/24 chance of picking a multiple of 4 6/24 simplifies to 1/4 chance