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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


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

© 1996-9 Eric W. Weisstein