To determine the prime factorization of 0.008, we first convert it to a fraction:

\[
0.008 = \frac{8}{1000}
\]

Next, simplify the fraction:

\[
\frac{8}{1000} = \frac{8 \div 8}{1000 \div 8} = \frac{1}{125}
\]

Now we perform the prime factorization of the denominator 125:

\[
125 = 5 \times 5 \times 5 = 5^3
\]

Thus, the prime factorization of 0.008 is:

\[
\frac{1}{5^3}
\]

If expressed in fractional form, this is the simplest prime factorization since the numerator is 1 and has no prime factors.

Let me know if you have any further questions or want a deeper explanation.

### Related Questions:
1. What is the prime factorization of 125?
2. How do you convert a decimal to a fraction?
3. How would you express 0.008 in scientific notation?
4. What are the prime factors of 1000?
5. How do you find the prime factorization of a non-integer?

### Tip:
When working with decimals, always start by converting them into fractions for easier prime factorization.

Discover how to find the prime factorization of 0.008 by converting the decimal into a fraction, simplifying it, and factoring the denominator. Learn the step-by-step process to express 0.008 as 1 / 5^3, suitable for students in Grades 6-8.

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