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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 from `(p)/(q)` ? Give reason

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327.7081 is terminating decimal number. So, it represents a rational number and also its denominator must have the form `2^(m)xx5^(n)`
Thus, 327.7081= `(3277081)/(10000)=(p)/(q)`
`therefore q=10^(4)=2 xx 2 xx 2 xx 2 5 xx 5 xx 5 xx 5`
` =2^(4)xx5^(4)=(2 xx 5)^(4)`
Hence, the prime factors of q is 2 and 5.

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