Question:Without actual division show that `52563744` is divisible by `24`.
Answer `24=3 xx 8` are co-prime. The sum of the digits is given number is `36`, which is divisible by `3`. So, the given number is divisible by `3`. The number formed by the last 3-digits of the given number is `744`, which is divisible by `8`. So, the given number is divisible by `8`. Thus, the given number is divisible by both `3` and `8`, where `3` and `8` are co-prime. So, it is divisible by `3 xx 8` , i.e. `24`.
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Without actual division show that `52563744` is divisible by `24`.