No, an integer n can be expressed as a ratio: n/1. It is, therefore, rational.
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Integers are whole numbers, therefore they are not irrational
No. Prime numbers are positive integers, and integers are not irrational.
They can be integers, rational numbers or even approximations for irrational numbers.
Any of the numbers which cannot be expressed as a ratio of two integers is irrational.
Because that is the definition of irrational numbers: They are the numbers that cannot be written as a ratio of two integers! A fraction is a ratio of two integers.