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If you mean the numbers 2, 4, 8 and 16, that's because the only prime factor of those numbers is the number 2 - and 2 is also a factor of 10. The same happens with denominators that only have 5 as a factor - such as 5, 25, 125.

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Q: Why do fractions with denominators of 24816 cause terminating decimals?
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