a) In how many way scan 31,100,905 be factored into three factors, each greater than 1, if the order of the factors is not relevant?
b) Answer part (a), assuming the order of the three factors is relevant.
c) In how many ways can one factor 31,100,905 into two or more factors where each factor is greater than 1 and no regard is paid to the order of the factors?
d) Answer part (c), assuming the order of the factors is to be taken into consideration.