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Home-> Vedic / Quicker Math-> Divisibility by eleven

Vedic Math / Quicker Math / Math Tricks :-


DIVISIBILITY BY SEVENTEEN :

Negative osculator for 17 is 5 (see note). The working for this is the same as in the case of 7.
Ex 1 : Check the divisibility of 1904 by 17.
Soln : 190 4 : 190 - 5x4 = 170
Since 170 is divisible by 17, the given number is also divisible by 17.
Note : Students are suggested not to go upto the last calculation. Whenever yoti find the number divisible by the given number on right side of your calculation stop further calculation and conclude the result.
Ex 2 : 957508
95750 8 : 95750- 5x8 = 95710
9571 0 : 9571 -5x0 =9571
957 1 : 957 - 5x1 = 952
95 2 : 95 - 5x2 = 85
Since 85 is divisible by 17, the given number is divisible by 17.
Ex 3: 8971563
897156 3 : 897156- 5x3 = 897141
89714 1 : 89714 - 5x1 = 89709
8970 9 : 8970 - 5x9 = 8925
892 5 : 892 - 5x5 = 867
86 7 : 86 - 5x7 = 51
Since 51 is divisible by 17, the given number is also divisible by 17.



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