Original Research

A factorisation method based on an additive property

B. de la Rosa, H. du T. Mouton, A. van der Westhuizen, D. van Deventer, J. P. H. Wessels
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 11, No 2 | a524 | DOI: https://doi.org/10.4102/satnt.v11i2.524 | © 1992 B. de la Rosa, H. du T. Mouton, A. van der Westhuizen, D. van Deventer, J. P. H. Wessels | This work is licensed under CC Attribution 4.0
Submitted: 08 July 1992 | Published: 09 July 1992

About the author(s)

B. de la Rosa,, South Africa
H. du T. Mouton,, South Africa
A. van der Westhuizen,, South Africa
D. van Deventer,, South Africa
J. P. H. Wessels,, South Africa

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Abstract

The purpose of this article is to develop a method of factorisation based on an additive property of the positive integers. Using known results it is emphasised that the composite odd positive integers are precisely those odd numbers that can be represented as sums of three or more consecutive positive integers. The obviously implied algorithm basis is refined in this paper up to a desired level of optimality. The result is an additive-multiplicative basis for an algorithm that is based partly on the said additive property and partly on long division (or alternatively the gcd).

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