Test the divisibility of the following numbers by $7$ .
$735630$

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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 $735630$ last digit is $0$ . Twice of $0$ is $0$ and the number formed by other digit is $73563$ .
Difference $=$ $73563 - 0 = 73563$ , which is divisible by $7$ .
Hence, the number $735630$ is divisible by $7$ .

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