Question

what is the inverse of the statement? a number that has exactly two distinct factors is prime. if a number is prime, then the number has exactly two distinct factors. if a number has exactly two distinct factors, then the number is prime. if a number is not prime, then the number does not have exactly two distinct factors. if a number does not have exactly two distinct factors, then the number is not prime.

Explanation:

In logic, to find the inverse of a conditional statement "If p, then q", we negate both p and q. The original statement is "If a number has exactly two distinct factors, then the number is prime". Negating both parts gives "If a number does not have exactly two distinct factors, then the number is not prime".

Answer:

If a number does not have exactly two distinct factors, then the number is not prime.