Leung, Ho-HonKamalov, Firuz2022-01-312022-01-312021-09Leung, H. H., & Kamalov, F. (2021). Arithmetic properties of complex fibonacci numbers and fibonacci quaternions. Journal of Algebra and Applied Mathematics, 19(2), 115-129. http://www.sasip.net/jaads_index.html23197234http://www.sasip.net/jaads_index.htmlhttp://hdl.handle.net/20.500.12519/502This article is not available at CUD collection. The version of scholarly record of this article is published in Journal of Algebra and Applied Mathematics (2021), available online at: http://www.sasip.net/jaads_index.htmlIn this paper, we investigate certain arithmetic properties of complex Fibonacci numbers and Fibonacci quaternions. More specifically, we look at the divisibility properties of complex Fibonacci numbers and Fibonacci quaternions. Our results make use of some well-known Fibonacci identities. Since quaternions are non-commutative algebra, extra care has been taken to investigate the various divisibility properties of the Fibonacci quaternions. © SAS International Publications.enPermission to reuse abstract has been secured from the author, Dr. Firuz Kamalov.Complex Fibonacci numberDivisibilityFibonacci quaternionArticleCopyright : © SAS International Publications.