just dividing it
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No, 7 is a natural number divisible by 7 and not 14 for example. In fact every odd multiple of 7 (i.e. 7 times 1,3,5,7,...) is divisible by 7 and not 14.
Every number is divisible by any non-zero number. No, there are an infinite number of odd integers which are not evenly divisible by 7..
If the last digit doubled subtracted from the rest is a multiple of 7, the whole number is divisible by 7.
The smallest number that is divisible by 5, 6, and 7 is 210.
A number is divisible by 4 if the last two digits form a number that is divisible by 4, for example 612 is divisible by 4 (because 12 is divisible by 4).