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

Explanation

The decimal expansion is 327.7081.
`therefore` It is a rational number.
Now `327.7081 = (3277081)/(10000) = (3277081)/(2^(4) xx 5^(4)) = (p)/(q)`
Here `q = 2^(4) xx 5^(4)`, which is in the form of `2^(m) xx 5^(n)`.
`therefore` The prime factors of q are 2 and 5.