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State the Converse and Contrapositive of Statement: a Positive Integer is Prime Only If It Has No Divisors Other than 1 and Itself. - Mathematics

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Question

State the converse and contrapositive of  statement:

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

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Solution

Converse of the given statement:
If a positive integer has no divisors other than 1 and itself, then it is prime.
Contrapositive of the given statement:
If a positive integer has some divisors other than 1 and itself, then it is not prime.

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Chapter 31: Mathematical reasoning - Exercise 31.5 [Page 21]

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RD Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.5 | Q 2.3 | Page 21

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