Chapter 1 Definitions

Question 1

even

Answer 1

An integer is called even if it is divisible by two

Question 2

divisible

Answer 2

Let a and b be integers. We say that a is divisible by b provided there exists an integer c such that bc = a. We also say a divides b, b is a factor of a, or b is a divisor of a.
Notation: “a is divisible by b” = b|a

Question 3

odd

Answer 3

An integer a is odd provided there is an integer x for which a = 2x + 1

Question 4

prime

Answer 4

An integer p is called prime provided that p > 1 and the only positive divisors of p are 1 and p.

Question 5

composite

Answer 5

An integer a is called composite provided there is an integer b such that 1