math
posted by m on .
The following conjectures were made by students. Are they true or false? Give a counterexample if possible.
Only half of the nonzero even numbers up to 100 are divisible by 4.
My answer is that it is true.
A number is divisible by 8 if it is divisible by 4 and divisible by 2.
My answer is that it is true.
Am I right?

The first is right.
For the second, how about 4, 12, 20...?