This time, TechGig: Largest Tech Community | Tech News & Hackathons has provided very good question, which will take sometime to resolve it.
Let me explain the definition in simple manner.
6 ball can be divided by 3 and 2, but if you divided it by 2 then you can not further divide 3 to equal part, so you have to divide it by 3.
Now, you will have 3 group of 2 ball of each and move count will be 1.
You have to divide further to make it equal part.
So 2 will be divided in equal portion for 3 group and you will have 6 group of 1 ball and your move count is 3 and if you combine moves then your current final move will be: 3+1 = 4 and last join total ball count, which is 6 so your final answer will be 10
For 8 ball, answer will be 15
For 14 ball, answer will be 22
For 16 ball, answer will be 31