Question:If a number is divisible by both 4 and 6, is it always divisible by 24 ? Why ? Give an example 

Answer No, since 6 and 4 are not co-prime. 36 is divisible by 6 as well as 4 but it is not divisible by 24. 

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If a number is divisible by both 4 and 6, is it always divisible by 24 ? Why ? Give an example
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