Classify each of the following statements as true or false.
a. If a number is divisible by 6, then it is divisible by 2 and 3.
b. If a number is divisible by 2 and 3, then it is divisible by 6.
c. If a number is divisible by 2 and 4, then it is divisible by 8.
d. If a number is divisible by 8, then it is divisible by 2 and 4.
e. A number is divisible by 8 if, and only if, it is divisible by 2 and by 4.
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