​ Look at several examples of rational numbers in the form p/q(q≠0), where p and q are integers ​

Question

Look at several examples of rational numbers in the form \(\frac{p}{q}\)(q≠0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy ?

Answer 1

Rational numbers in the form \(\frac{p}{q}\)(q ≠ 0) where P and q are integers with no common factors other than 2 or 5 or both.

OR 

Prime factors of q has powers of 2 and prime factors of q has powers of 5 or both.