The number 42 has the prime factorization 2 · 3 · 7. Thus 42 can be written in four ways as a product of two positive integer factors (without regard to the order of the factors): 1 · 42, 2 · 21, 3 · 14, and 6 · 7. Answer a–d below without regard to the order of the factors. (a) List the distinct ways the number 910 can be written as a product of two positive integer factors. (Enter your answer as a comma separated list of products.) (b) If n = p1p2p3p4, where the pi are distinct prime numbers, how many ways can n be written as a product of two positive integer factors? (c) If n = p1p2p3p4p5, where the pi are distinct prime numbers, how many ways can n be written as a product of two positive integer factors? (d) If n = p1p2 pk, where the pi are distinct prime numbers, how many ways can n be written as a product of two positive integer factors?