Explanation
Given that a number is divisible by itself and $$1$$. $$\therefore$$ If x is the number then its factors are x and $$1$$. So this fits in the condition for a number to be prime. $$\therefore$$ It is a prime number.
We can take an example. Prime numbers greater than $$6$$ are $$7, 11, 13,$$ and so on. When $$7$$ is divided by $$6,$$ remainder is $$1$$. When $$11$$ is divided by $$6$$, remainder is $$5$$. Similarly, when $$13$$ is divided by $$6$$, remainder is $$1$$. The remainder obtained is either $$1$$ or $$5$$.
So the correct answer will be option $$B$$
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