The Differences Between Fact and Theory.

Theory is a tool of science in these ways
1.it defines the major orientation of a science, by defining the kinds of data that are to be abstracted.
2.it offers a conceptual scheme by which the relevant phenomena are systematized, classified and interrelated.
3.it summarizes facts into empirical generalizations and systems of generalizations.
4. It predicts facts and
5. It points to gaps in our knowledge.

On the other hand facts are also productive of theory in these ways :
1. Facts help to initiate theories.
2. They lead to the reformulation of existing theory.
3. They cause rejection of theories that do not fit the facts.
4. They change the focus and orientation of theory and
5. they clarify and redefine theory.

Reference:
 http://www.sociologyguide.com/research-methods&statistics/theory-fact.php