मराठी

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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प्रश्न

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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उत्तर

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 contrapositive 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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