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Axiom Of Choice

If one integer is a factor or divisor of another then it's possible to divide integers, otherwise the result is a non-integer rational number.

For example:

• 13 is a divisor of 221, so we can divide 221 by 13 giving 17
• 7 is not a divisor of 23, so the result of dividing 23 by 7 is not an integer
• It is, however, a rational number: $\frac{23}{7}$

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				Divisor Integer RationalNumber
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(none)		(none)				CauchySequence ComplexNumber CountableSet Denominator IrrationalNumber Numerator Pythagoras RealNumber ReducingFractionsToLowestTerms RootTwoIsIrrational

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