Which division of chemistry specifically focuses on products used and produced by living organisms?

The focus of the correct answer lies in biochemistry, which is the branch of science that studies the chemical processes and substances that occur within living organisms. This field combines aspects of both biology and chemistry, allowing for a deeper understanding of how biomolecules such as proteins, nucleic acids, carbohydrates, and lipids contribute to the structure and function of cells and systems in living beings.

In biochemistry, researchers examine how these organic compounds interact, how they are synthesized, and how they contribute to metabolism, genetic information, and cellular structure. This focus makes it distinctly different from the other branches of chemistry mentioned.

Organic chemistry primarily deals with the study of carbon-containing compounds, which includes both natural products and synthetic substances but does not exclusively focus on biological processes. Inorganic chemistry, on the other hand, covers a broader range of substances that are not primarily based on carbon, like metals and minerals, thus often excluding biologically relevant compounds. Physical chemistry merges principles of physics and chemistry to study how matter behaves on a molecular and atomic level; while it can touch on biological substances, it does not specifically focus on the chemistry of living systems.

Given this context, biochemistry is the most appropriate answer when considering the study of products used and produced by living organisms.