no three is not a Prime number
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A number cannot be relatively prime number by itself. It can only be relatively prime in the context of (relativeto) another number. That requires the two numbers not to have any prime factors in common.
Any prime number is relatively prime to any other prime number.
It can be. 16 is relatively prime with 25.
Yes, they are relatively prime.
Two numbers are relatively prime if they have no factor in common. But a single number cannot be relatively prime.