Question

State the converse and contrapositive of each of the following statements: 

A positive integer is prime only if it has no divisions other than 1 and itself.

Answer 1

Definition of Converse: A conditional statement is not logically equivalent to its converse. 

Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive. 

Converse: If an integer has no divisor other that 1 and itself, then it is prime. 

Contrapositive: If an integer has some divisor other than 1 and itself, then it is prime.