Test the divisibility of the following numbers by $7$ .
$300630$

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Solution

A number is divisible by $7$ if the difference between twice the last digit and number formed by other digits is either $0$ or a multiple of $7$
In the given number $300630$ last digit is $0$ . Twice of $0$ is $0$ and the number formed by other digit is $30063$ .
Difference $=$ $30063 - 0 = 30063$ , which is not divisible by $7$ .
Hence, the number $300630$ is not divisible by $7$ .

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