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# Just realized that only half (1/2) the numbers can be rationally divided by 2. Same goes for 3, only 1/3 of the numbers are divisible by 3. Same goes for 4, even 18372.

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If you count upwards from one, every second number is divisible by 2, every third by 3, every fourth by 4, etc. That should be obvious.

I realize that but the question is do you ever think about that?

Why on Earth would I ever spend my time thinking about something so mind-numbingly obvious ?

All numbers can rationally divide all other numbers. That's the definition, a number than can be expressed as a ratio of two whole numbers.

1/2 is a rational number.

RATIOnal.

My intention of "rationally" was that they would equal whole numbers when divided not so much be long strings of decimal numbers, but good point.

And 1/3 of infinity is infinity. So is 1/18372 of infinity.

another way to prove that infinite sets can contain other infinite sets