Combinatorics and Graph Theory · Problem 1.2.1

Fundamentals — David Guichard

Mathematics — Combinatorics · counting-factors

Problem

How many positive factors does 2⋅34⋅73⋅112⋅4752 \cdot 3^4 \cdot 7^3 \cdot 11^2 \cdot 47^5 have? How many does p1e1p2e2⋯pnenp_1^{e_1} p_2^{e_2} \cdots p_n^{e_n} have, where the pip_i are distinct primes?

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