State whether the following statement is true or false.
All co-primes are prime numbers but all primes need not to be co-primes

True

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False

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Solution

The correct option is B False
Prime number: A number that has only two factors, $1$ and the number itself.
Co-prime numbers: Those numbers that have their HCF (Highest Common Factor) as $1$ . In other words, two numbers are co-prime if they have no common factor other than $1$ .
All co-primes are not primes numbers. For example, $4$ and $9$ are co-prime but not prime numbers.
Hence, the given statement is false.

Suggest Corrections

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