 Hi and welcome to our session where it says that the following question the question says state the converse and contrapositive of each of the following statements. Given statement is a positive integer is prime only if it has no divisors other than one and itself. To solve this question we shall use the concept of the terms contrapositive and converse. The converse of the statement p then q and q negation of q negation of p. We shall write the two statements p and q which correspond to the given statement and then apply the above root to do the required. Now begin with the solution we will first write this statement in the form if p then q. Now the given statement in q if a positive integer is prime as no divisors other than one and itself. Here p statement is a positive integer is prime and q statement is integer as no divisors other than one and itself. Try the converse of the statement of the statement if p then q is if q then p. Now here we know p and q so converse of the statement will be if a positive integer has no divisors other than one and itself the contrapositive of the given statement of the statement if p then q is if negation of q then negation of p. Now negation of q will be if the integer has divisors other than one and itself and negation of p will be positive integer is not prime. So contrapositive of the statement is integer as divisors other than one and itself is not prime. Next thing we have first written the given statement in the form if p then q then the converse of the statement and at last we have written the contrapositive of the given statement. This is our required answer. So this completes the session. Bye and take care.