Natural numbers are positive integers, also known as counting numbers. Some examples are 3, 4, 4359.
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You can give hundreds of examples, but a single counterexample shows that natural numbers are NOT closed under subtraction or division. For example, 1 - 2 is NOT a natural number, and 1 / 2 is NOT a natural number.
All natural numbers are rational numbers. No irrational numbers are natural numbers.
I believe you may be talking about prime numbers. A few examples of prime numbers would be 2,3,5,7,11,13. Although I am confused by the word divisor. The only two factors of prime numbers are 1 and itself.
Natural numbers extend from 1 to positive infinity.Real numbers are all numbers between negative infinity and positive infinity.ALL natural numbers are real numbers, but NOT ALLreal numbers are natural numbers.
All natural numbers are integers, not all integers are natural numbers.