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A number a is divisible by another number b, if and only if the fraction a/b is equivalent to a whole number. And as you know, 1/2 = 0.5, which is not a whole number, hence is 1 not divisible by 2.

The only number 1 is divisible by, is 1 itself. All numbers are divisible by 1.

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Q: Is 1 divisible by 2
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