Question

A rational number in its decimal expansion is 327.7081. What can you say about
the prime factors of q, when this number is expressed in the form ?? Give reason?
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Answer 1

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Answer 2

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Since, 327.7081 has a terminating decimal expansion its denominator should be of the form 2^m x 5^n, where m, n are non-negative integers.

Further,

327.7081 can be expressed as

3277081/10000 = p/q

⇒ q = 10000 = 23 x 53

⇒ q = 10000 = 23 x 53Hence, the prime factors of q has only factors of 2 and 5.

Thank you!!

@itzshivani