Find the prime factorization of the denominator of the rational number equivalent to 8.39.

First we have to convert 8.39 into rational form, as we know that the rational numbers can be expressed in the form of p/q, where q ≠ 0.

So,

Here the denominator is 100.

The prime factorization of 100 = 2 × 2 × 5 × 5

Hence the prime factorization of the denominator of the rational number equivalent to 8.39 is 2 × 2 × 5 × 5.