Chapter 4.1B, Problem 14A

Classify each of the following statements as true or false.

a. If a number is divisible by $6$, then it is divided by $\text{2 and 3}$.

b. If a number is divisible by $\text{2 and 3}$, then it is divisible by $6$.

c. If a number is divisible by $\text{2 and 4}$, then it is divisible by $8$.

d. If a number is divisible by $8$, then it is divisible by $\text{2 and 4}$.

e. A number is divisible by $8$ if, and only if, it is divisible by $\text{2 and 4}$.