MathDB
Odd digit multiplication

Source: Pan-American Girls' Mathematical Olympiad 2021, P4

October 6, 2021
Digitsnumber theoryPAGMO

Problem Statement

Lucía multiplies some positive one-digit numbers (not necessarily distinct) and obtains a number nn greater than 10. Then, she multiplies all the digits of nn and obtains an odd number. Find all possible values of the units digit of nn.
<spanclass=latexitalic>ProposedbyPabloSerrano,Ecuador</span><span class='latex-italic'>Proposed by Pablo Serrano, Ecuador</span>