NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ1122731
Record Type: Journal
Publication Date: 2017
Pages: 2
Abstractor: As Provided
ISSN: ISSN-0020-739X
Unique Factorization and the Fundamental Theorem of Arithmetic
Sprows, David
International Journal of Mathematical Education in Science and Technology, v48 n1 p130-131 2017
The fundamental theorem of arithmetic is one of those topics in mathematics that somehow "falls through the cracks" in a student's education. When asked to state this theorem, those few students who are willing to give it a try (most have no idea of its content) will say something like "every natural number can be broken down into a product of primes." The fact that this breakdown always results in the same primes is viewed as "obvious." The purpose of this paper is to illustrate with a number of examples that the "Unique Factorization Property" is a rare property and the fact that the natural numbers possess this property is "fundamental" to our understanding of this number system.
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A