influence the relative likeliness of encountering recurring digits (any irreducible fraction that contains any of these other factors in its denominator will recur in either base). Also, the prime factor 2 appears twice in the factorization of twelve, whereas only once in the factorization of ten; which means that most fractions whose denominators are powers of two will have a shorter, more convenient terminating representation in duodecimal than in decimal representation (e.g. 1/(22) = 0.25ten = 0.3twelve; 1/(23) = 0.125ten = 0.16twelve; 1/(24) = 0.062510 = 0.0912; 1/(25) = 0.0312510 = 0.04612; etc.).