  The right triangles represented in the Plimpton 322 data have integer sides
$(a, b, d)$ with $a < b < d$, by inspecting the data we propose $b=M\,Q_{M}$
with $M,Q_{M}$ positive integers. In this way we present a new data-driven
family of algorithms in order to generate the whole content of the Plimpton-322
tablet. Each algorithm of the family corresponds to one given value of the
bundling factor or mak\c{s}arum $M$. The algorithm with $M=12$ arise naturally
from data and is developed entirely through this work. We could generate the
complete Plimpton 322 table by using three different schemes in the framework
of the twelve factor algorithm. Finally we found by varying $M$ in the general
algorithm, we can be able to find all the Pythagorean Triples.
