Check the divisibility of 7 for the following number:12345667890.

Given :

The given number is 12345667890.

To do :

We have to check the divisibility rule of 7 for the given number.

Solution :

To check divisibility by 7, as the initial step, we calculate $12345667890-2(0)=1234566789$.

$6597339-2(0)=6597339$

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However, this number is still a little too big for us to tell whether it's divisible by 7. In such cases, we keep applying the divisibility rule again and again until we have a small enough number to work with:

$$$\begin{aligned}659733-2(9)&=659715\65971-2(5)&=65961\6596-2(1)&=6594\659-2(4)&=651\65-2(1)&=63.\end{aligned}$

$123456678−2(9)=123456660$

$12345666−2(0)=12345666$

$1234566−2(6)=1234554$

$123455−2(4)=123447$

$12344−2(7)=12330$

$1233-2(0)=1233$

$123-2(3)=117$

117 is not divisible by 7.

Therefore, 12345667890 is not divisible by 7.

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