Normalization is a rule, and like any other rule, is made to be broken in certain cases. If you are responsible for changing a table's structure and applying the normalization approach, you should only take it as far as it makes sense.
There will be times when it simply does not help to break apart a table into separate related tables.
You will have to use your best judgement to determine when these cases come up.
Normalization is a systematic way of ensuring that a database structure is suitable for general-purpose querying and free of certain undesirable characteristics—insertion, update, and deletion anomalies—that could lead to a loss of data integrity.
E.F. Codd, the inventor of the relational model, introduced the concept of normalization and what we now know as the first normal form in 1970.