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.

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.


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