What can you say about the prime factorization of the denominators of the following rational:
$43.\overline{123456789}$

Given:

The given rational number is $43.\overline{123456789}$.

To do: 

Here, we have to determine the nature of the prime factorisation of the denominator of the given rational number when expressed in $\frac{p}{q}$ form.

Solution:

$43.\overline{123456789}$ has a non-terminating decimal expansion. 

Therefore, the denominator of the given rational number has factors other than $2$ or $5$.

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Updated on: 10-Oct-2022

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