The front of the tap has a taper called the tap chamfer. this determines how many turns of the thread are required before the tap is cutting a full thread. The most common chamfer is called a plug and cuts a full thread in 3-5 turns. In a through hole you could use a taper tap (often called a starter tap) which has 7-10 turns before full thread, this spreads the cutting out considerably and reduces the torque required to cut the thread.
In shallow blind holes, bottoming taps (1-2 turn chamfers) are often used, but they generate the highest torque values, so they have short tool life.
So, the longest chamfer that can be used in the hole that you are tapping will give you the easiest most successful tapping and the most holes per tap.