a very bad dichotomous key

if i make a dichotomous key of the digits 1 through 15, i can diferentiate them in fourteen steps.
i am absolutely certain it could be done in less, but this is a frustratingly abstract excersize so i’ll be satisfied with having made one.

1; even /odd. go2/go3
2;9. go 4/ go 7
3; >8 /12/<12. =13/=11
12; prime y/n. go 13/ =1
13; square oot of 25 y/n. =5/go 14
14; half of 14 y/n. =7/=3

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