State the converse and contrapositive of each of the following st… - Vidyadip

Question

State the converse and contrapositive of each of the following statements: p: A positive integer is prime only if it has no divisors other than 1 and itself.

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Answer

Statement p can be written as follows. If a positive integer is prime, then it has no divisors other than 1 and itself. The converse of the statement is as follows. If a positive integer has no divisors other than 1 and itself, then it is prime. The contra positive of the statement is as follows. If positive integer has divisors other than 1 and itself, then it is not prime.

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