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The question has no sensible answer because it is simply not true.
The conversion factor to convert between moles and grams is approx 6.0221409*10^23. That is a value which is accurate to 8 significant figures. Many people would use 6.022*10^23 - ie to 4 sig figs.


Generally speaking, if the conversion factor from one unit to another is exact, the conversion factor in the reverse direction will not be and you will be forced to use an approximation to some selected level of significance. For example, 1 inch = 25.4 millimetres, but 1 millimetre = 0.03937008... inches, where the factor will eventually start repeating.


A numerical count, such as the census for the population of a country, is usually accurate to the nearest thousand. Consequently, the population estimate will have three fewer sig figs than its order of magnitude.

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