MathDB
Divisors

Source: AHSME 1991 problem 14

October 22, 2011
geometry3D geometrynumber theoryprime factorizationAMC

Problem Statement

If xx is the cube of a positive integer and dd is the number of positive integers that are divisors of xx, then dd could be
<spanclass=′latex−bold′>(A)</span> 200<spanclass=′latex−bold′>(B)</span> 201<spanclass=′latex−bold′>(C)</span> 202<spanclass=′latex−bold′>(D)</span> 203<spanclass=′latex−bold′>(E)</span> 204 <span class='latex-bold'>(A)</span>\ 200\qquad<span class='latex-bold'>(B)</span>\ 201\qquad<span class='latex-bold'>(C)</span>\ 202\qquad<span class='latex-bold'>(D)</span>\ 203\qquad<span class='latex-bold'>(E)</span>\ 204
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