In one of my earlier blogs I had shown the procedure for testing numbers for divisibility by 17.This was based on the fact that 17 is a factor of 1003.On a similar basis you can formulate a procedure for testing numbers for divisibility by 19 based on the fact that 19 is a factor of 1007.
You have to form groups of 3 digits each like A,B,C,D etc commencing from right as before.The only difference is that you have to work out one seventh of the number in Group A and deduct it from the number in Group B and follow the same procedure further on.As before you can add a multiple of 19 like 19,38,57,76,95 or 114 in case the number to be divided does not permit even division.
You can try testing the following numbers
28415015603
238815028
415920368715796
As 53 is also a factor of 1007 you can follow similar procedure for testing divisibility by 53.Try testing the number 7629781579 for divisibility by 53.,.
You have to form groups of 3 digits each like A,B,C,D etc commencing from right as before.The only difference is that you have to work out one seventh of the number in Group A and deduct it from the number in Group B and follow the same procedure further on.As before you can add a multiple of 19 like 19,38,57,76,95 or 114 in case the number to be divided does not permit even division.
You can try testing the following numbers
28415015603
238815028
415920368715796
As 53 is also a factor of 1007 you can follow similar procedure for testing divisibility by 53.Try testing the number 7629781579 for divisibility by 53.,.
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