well it has to be a perfect square so that it will have 5 factors
4, 9, & 16 are the only perfect squares that are between 1 and 20 so then you just have to see which has 5 factors!
4 has the factors 1, 2, and 4 (only 3 factors)
9 has the factors 1, 3, and 9 (only 3 factors)
16 has the factors 1, 2, 4, 8, and 16 (It has 5 factors, so this is your answer)