Homogeneous Numbers

Two numbers are homogeneous if they have identical Prime Factors. An example of a homogeneous pair is (6, 36), both of which share Prime Factors 2 and 3:

$\displaystyle 6$	$\textstyle =$	$\displaystyle 2\cdot 3$
$\displaystyle 36$	$\textstyle =$	$\displaystyle 2^2\cdot 3^2.$

See also Heterogeneous Numbers, Prime Factors, Prime Number

References

Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 146, 1983.