Unified Divisibility Test

In mathematics division is a typical activity which needs a lot of working and patience. Sometimes, for a larger number, we have to check, by what number it is divisible. Direct division is a lengthy process. So far, we have very limited approach to check divisibility and that is limited for some basic numbers like 2,3,4,5,6,7,8,9,10,11,12,14, 15,16,18,20,22 and some numbers like 25,30,40,50 and so on. But for numbers like 13,17,19,23,29,31,37,43 etc. We have no divisibility rules. Even the rules given for the former numbers are different from each other. An average student sometimes gets confused for such rules. As a teacher, I also faced hardship to tackle such situations. Calculators can help but we can’t carry them every time and everywhere. Even mobiles and calculators are not allowed in examinations. So we need some unified technique to sort out such problem. I tried a lot and luckily succeeded to trace the path. As far as, I worked on this method I found some interesting facts about mathematics. I think it is the nature of the subject - the more you work, the more you explore. As far as my findings are concerned, I am not calling these 'A Research' because these are from the hidden treasure of mathematics. We all know that mathematics is a valley of numerous gems. I traced and found some precious stones which I am presenting before you. I have named it 'Unified Divisibility Test' because it is a unified method. It is a working model for calculation and computer programming is possible for it.