That's correct - there is none. For any integer, you can subtract one to get an even smaller integer.
No.
An element of that set.
A set of which all the elements are contained in another set. The set of even numbers is a subset of the set of integers.
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
Given a set of integers, the LCM is the smallest integer which is a multiple of each of element of the set.
That's correct - there is none. For any integer, you can subtract one to get an even smaller integer.
No.
That is not true.
That's the smallest infinite number; it corresponds to the size of the set of integers.
An element of that set.
The smallest common factor of any set of positive integers is 1.
It is true.
No. One of the group axioms is that each element must have an inverse element. This is not the case with integers. In other words, you can't solve an equation like: 5 times "n" = 1 in the set of integers.
The smallest common factor of any set of positive integers is 1.
The least common factor of any set of integers is 1.
A set of which all the elements are contained in another set. The set of even numbers is a subset of the set of integers.