To determine how many times larger \(6 \times 10^8\) is than \(2 \times 10^6\), we can divide the two numbers:
\[ \frac{6 \times 10^8}{2 \times 10^6} \]
This can be simplified as follows:
\[ = \frac{6}{2} \times \frac{10^8}{10^6} \]
Calculating each part:
- \(\frac{6}{2} = 3\)
- \(\frac{10^8}{10^6} = 10^{8-6} = 10^2\)
Now combining these results:
\[ 3 \times 10^2 = 3 \times 100 = 300 \]
Thus, \(6 \times 10^8\) is 300 times larger than \(2 \times 10^6\).