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# Symbolic Functions

ACTMAT-GIMGJK

Let $\varkappa$ be defined for all positive integers so that:

$$p\varkappa q=\frac { p }{ q }$$

...if $q$ is a factor of $p$, or $p\varkappa q=pq$ otherwise.

Which of the following expressions evaluates to 72?

A

$12\varkappa 6$

B

$2\varkappa 144$

C

$36\varkappa 2$

D

$18\varkappa 4$

E

$24\varkappa 3$