It's the difference between Latin and Greek. Four, five and six do have their own forms.
Latin: bi-, tri-, quad-, quin-, sex-, sept-...
Greek: di-, tri-, tetra-, pent-, hex-, hept-...
Generally, Latin prefixes are added to Latin roots and Greek prefixes to Greek roots.
Quadrilateral, quintuplet, September etc.;
Tetrahedron, heptagon etc.
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