{"status": "success", "data": {"description_md": "Let $S$ be the set of all positive integer divisors of $100,000.$ How many numbers are the product of two distinct elements of $S?$\n\n$\\textbf{(A) }98\\qquad\\textbf{(B) }100\\qquad\\textbf{(C) }117\\qquad\\textbf{(D) }119\\qquad\\textbf{(E) }121$", "description_html": "<p>Let  <span class=\"katex--inline\">S</span>  be the set of all positive integer divisors of  <span class=\"katex--inline\">100,000.</span>  How many numbers are the product of two distinct elements of  <span class=\"katex--inline\">S?</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }98\\qquad\\textbf{(B) }100\\qquad\\textbf{(C) }117\\qquad\\textbf{(D) }119\\qquad\\textbf{(E) }121</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2019 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10B_p20", "prev": "/problem/19_amc10B_p18"}}