Multiple choice

P is a prime number greater than 5 What is the remainder when P is divided by 6?

  1. 5

  2. 1

  3. 1 or 5

  4. None of these
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C Correct answer
Explanation

All prime numbers greater than 3 are of the form 6k+1 or 6k-1 (which is 6k+5).

AI explanation

Any prime number greater than 5 can be expressed in the form of 6k plus 1 or 6k plus 5, as other forms like 6k, 6k plus 2, 6k plus 3 or 6k plus 4 would make the number divisible by 2 or 3. Therefore, dividing any prime number greater than 5 by 6 leaves a remainder of 1 or 5.

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