Q) The condition to be satisfied by q , so that the rational number \(\frac{p}{q}\) has a non terminating decimal expansion is :

1) The prime factorization of q is of the form \(2^m * 5^n\)

2) The prime factorization of q is of the form \(2^n * 5^m\)

3) The prime factorization of q is of the form \(m^2 * n^5\)

4) The prime factorization of q is of the form \(m^2 * 5^n\)

Question

Accepted Answer

Answer : Option 1

The prime factorization is not of the form \(2^m * 5^n\) , where m and n are non negative integers

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