1.) Sum of the current through each circuit element is equal to total circuit current.
2.) Voltage across each circuit element is the same and is equal to the total circuit voltage.
3.) Current flows more readily into devices of low resistance, so the amount of current in each branch is inversely proportional to the resistance of the branch.
4.) Total resistance is inversely proportional to the sum of the reciprocals of each individual resistance
5.) As more resistors are added in parallel there is an increase in their total cross-sectional area so that the total resistance decreases.