Question 829771
Factors of {{{180}}} come in pair whose product is {{{180}}} .
We can try small numbers (1, 2, 3, 4, 5, 6, 7, ...} to see if they divide {{{180}}} evenly. Whenever one does, that small number is the small factor in a pair, and the quotient is the paired factor.
{{{180=1*180}}}
{{{180=2*90}}}
{{{180=3*60}}}
{{{180=4*45}}} 
{{{180=5*36}}}
{{{180=6*30}}}
{{{180=9*20}}}
{{{180=12*15}}}
That is the last pair, because {{{180}}} does not divide evely by 13 or 14, ansd 15 is the larger factor in a pair already listed.
{{{180=12*15}}} and {{{12+15=27}}} ,
so {{{highlight(12)}}} and {{{highlight(15)}}} are the answers we were looking for.