MathDB
Troll factors

Source: 2019 AMC 12B #14

February 14, 2019
2019 AMC 12B2019 AMCAMCAMC 12Divisors2019 AMC 10BAMC 10

Problem Statement

Let SS be the set of all positive integer divisors of 100,000.100,000. How many numbers are the product of two distinct elements of S?S?
<spanclass=′latex−bold′>(A)</span>98<spanclass=′latex−bold′>(B)</span>100<spanclass=′latex−bold′>(C)</span>117<spanclass=′latex−bold′>(D)</span>119<spanclass=′latex−bold′>(E)</span>121<span class='latex-bold'>(A) </span>98\qquad<span class='latex-bold'>(B) </span>100\qquad<span class='latex-bold'>(C) </span>117\qquad<span class='latex-bold'>(D) </span>119\qquad<span class='latex-bold'>(E) </span>121
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