True or false. If n is a natural number and 4 | n, then 8 | n.
False.
Counter example:
4∣20 but 8∤20
However, the converse is true:
8∣n -> 4∣n
Example:
8∣24, and 4∣24
Counter example:
4∣20 but 8∤20
However, the converse is true:
8∣n -> 4∣n
Example:
8∣24, and 4∣24