What are the factors that affect how quickly sugar dissolve in a liquid

Temperature, the hotter it is the faster it dissolves.
Agitation, if you stir it it dissolves faster.
The amount of sugar already dissolved, if there is already dissolved sugar it takes longer for more sugar to dissolve. Eventually the liquid will become saturated and no more sugar will dissolve.

CAMPANHA: EU PEGO CARONA EM PERGUNTAS IDIOTAS...
........|¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨…‡
........|..........2 Pontos ?.....|||"|""\__
........|__________________|||_|___|)<
........!(@)'(@)""""**!(@)(@)****!(@)

JUNTE-SE A NÓS, NESSA CAMPANHA TÃO NOBRE.
E VENHA GANHAR SEUS 2 PONTINHOS