Can I separate garlic into cloves for storage? I bought jar for garlic but it can store only two bulbs with most place being wasted. Can I separate bulb into cloves and store them? Or will it significantly shorten the lifespan of garlic?

EDIT To clarify - this is jar made out of ceramic with holes in the bottom for ventilation.
Traditionally (at least in Spain) garlic was kept in a braided string, hung in a dry place, so that they could last until the following season.

Separating them in cloves will cause them to dry prematurely.