Remember Huckels rule for aromaticity: 4n + 2 pi electrons (so for a compound to be aromatic this will equal 2, 6, 10, 14, etc.) If n = 0, then the answer is 2. If n = 1, then the answer is 6. and so on.....
Destroyer #27: The cyclopropene anion has 4 pi electrons (2 in the double bond and 2 lone pairs) - so 4n + 2 pi electrons equals 4. This indicates it is not aromatic (as shown above - to be considered aromatic it must equal 2, 6, 10, etc.)
Kaplan: The cyclopropene cation has 2 pi electrons (2 in the double bond) - so 4n +2 pi electrons equals 2. This indicates it is aromatic - as shown above.
Of course the compound must be planar too like yankees27th said! If the compound was neutral cyclopropene - it would not be aromatic even though it has 2 pi electrons because it is not planar.