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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 19 example ( Enter your problem )
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18. Divisibility rule of 18 example
(Previous example)		20. Divisibility rule of 20 example
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19. Divisibility rule of 19 example


1. Check whether 4864 is divisible by 19 or not?

Solution:
Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`486color{red}{4}=>486 + color{red}{4} xx 2 = 486 +8 = 494`

`49color{red}{4}=>49 + color{red}{4} xx 2 = 49 +8 = 57`

Here 57 is divisible by 19.
`:.` 4864 is divisible by 19.


2. Check whether 6612 is divisible by 19 or not?

Solution:
Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`661color{red}{2}=>661 + color{red}{2} xx 2 = 661 +4 = 665`

`66color{red}{5}=>66 + color{red}{5} xx 2 = 66 +10 = 76`

Here 76 is divisible by 19.
`:.` 6612 is divisible by 19.


3. Check whether 7448 is divisible by 19 or not?

Solution:
Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`744color{red}{8}=>744 + color{red}{8} xx 2 = 744 +16 = 760`

`76color{red}{0}=>76 + color{red}{0} xx 2 = 76 = 76`

Here 76 is divisible by 19.
`:.` 7448 is divisible by 19.


4. Check whether 4871 is divisible by 19 or not?

Solution:
Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`487color{red}{1}=>487 + color{red}{1} xx 2 = 487 +2 = 489`

`48color{red}{9}=>48 + color{red}{9} xx 2 = 48 +18 = 66`

Here 66 is not divisible by 19.
`:.` 4871 is not divisible by 19.


5. Check whether 6629 is divisible by 19 or not?

Solution:
Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`662color{red}{9}=>662 + color{red}{9} xx 2 = 662 +18 = 680`

`68color{red}{0}=>68 + color{red}{0} xx 2 = 68 = 68`

Here 68 is not divisible by 19.
`:.` 6629 is not divisible by 19.


6. Check whether 6989 is divisible by 19 or not?

Solution:
Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)

`698color{red}{9}=>698 + color{red}{9} xx 2 = 698 +18 = 716`

`71color{red}{6}=>71 + color{red}{6} xx 2 = 71 +12 = 83`

Here 83 is not divisible by 19.
`:.` 6989 is not divisible by 19.



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