To find how many times greater \(3 \times 10^8\) is than \(3 \times 10^2\), we can divide the two numbers:
\[ \frac{3 \times 10^8}{3 \times 10^2} \]
The \(3\)s in the numerator and denominator cancel each other out:
\[ \frac{10^8}{10^2} = 10^{8-2} = 10^6 \]
Now, \(10^6\) is equal to \(1,000,000\).
Therefore, \(3 \times 10^8\) is 1,000,000 times greater than \(3 \times 10^2\).