DIVISIBILITY OF NUMBERS BY 14 to 19

By 14:

If the number is divisible by 2 and 7, then the number is divisible by 14

By15:

If the number is divisible by 3 and 5, then the number is divisible by 15

By 16:

If the last four digits of the number is divisible by 16, then the number will be divisible by 16.
e.g.-  67891888 : Since 1888 is divisible by 16,So the number is divisible by 16.

By 17:

Multiply unit place by 12(Key no of 17) add it to rest of the digits.

for key number: 17 x 7=119 , key no. = 11+1=12

e.g.-     12468 :       1 2 4 6 (8 x 12)
                                       9 6
                                ----------------

                                 1 3 4 (2 x 12)
                                    2 4
                                ----------------

                                 1 5 (8 x 12)
                                 9 6
                                ----------------

                              1 1 1                       

As "111" is not divisible by 17,12468 is not divisible by 17.

By 18:

If the number is divisible by 2 and 9, then the number is divisible by 18

By 19:

Multiply unit place by 2(Key no of 19) add it to rest of the digits.

e.g.-   101992:        1 0 1 9 9 (2 x 2)
                                             4

                                 ------------------

                                 1 0 2 0 (3 x 2)
                                          6
                                 ------------------

                                 1 0 2 (6 x 2)
                                    1 2
                                 ------------------

                                   114

As "114" is divisible by 19,"101992" is divisible by 19.