Verify whether a positive integer is a prime number (only divisible by 1 and itself) and find all its divisors.
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A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. E.g. **5** is prime because the only ways of writing it as a product, \(1 \times 5\) or \(5 \times 1\), involve 5 itself. However, **6** is a composite number because it is the product of two numbers (\(2 \times 3\)) that are both smaller than 6. The number **1** is not considered a prime number by definition.