Final answer:
The probability P that a randomly selected integer is a factor of 32 is zero because there are an infinite number of integers and only a finite number of them are factors of 32.
Step-by-step explanation:
To answer the question, "What is P(factor of 32)?", we must first identify what a 'factor' is in terms of mathematics. A factor of a number is an integer that divides that number without leaving a remainder. Consequently, when we're discussing P(factor of 32), we're looking for the probability that a randomly selected integer is a factor of 32.
The factors of 32 are 1, 2, 4, 8, 16, and 32. Because there are 6 possible factors of 32, and an infinite amount of integers to choose from, the probability that a randomly selected integer is a factor of 32 is zero, since there are infinitely many integers that are not factors of 32.
This conclusion is based on the understanding that there are an infinite number of integers, but only a finite number of these are factors of 32. Hence, mathematically speaking, the probability P of randomly picking a factor of 32 from the set of all integers is 0.