Question

Without making any actual division show that 7007 is divisible by 7.​

Answer 1

We have to prove that 7007 is divisible by 7 without using actual division.

$7007$ can be written as,
$7007=7000+7$
$=7(1000+1)$ taking 7 common
$=7\times 1001$

Hence, $7007$ is divisible by $7$.