MathDB
Let N be the greatest five-digit number whose digits have a product of 120.

Source: 2018 AMC 8 #14

November 20, 2018
AMC 82018 AMC 8

Problem Statement

Let NN be the greatest five-digit number whose digits have a product of 120120. What is the sum of the digits of NN?
<spanclass=latexbold>(A)</span>15<spanclass=latexbold>(B)</span>16<spanclass=latexbold>(C)</span>17<spanclass=latexbold>(D)</span>18<spanclass=latexbold>(E)</span>20<span class='latex-bold'>(A) </span>15\qquad<span class='latex-bold'>(B) </span>16\qquad<span class='latex-bold'>(C) </span>17\qquad<span class='latex-bold'>(D) </span>18\qquad<span class='latex-bold'>(E) </span>20