Find the Unique Number: Prime Factors 13, 2, 3, and 5

To find the original number from its prime factors, we need to calculate the product of the given prime numbers.

Given prime factors: $13, 2, 3, \text{ and } 5$.

Calculate the product:

• First, multiply $2$ and $3$:
$\quad 2 \times 3 = 6$
• Next, multiply the result by $5$:
$\quad 6 \times 5 = 30$
• Finally, multiply the result by $13$:
$\quad 30 \times 13 = 390$

Thus, the number whose prime factors are $13, 2, 3,$ and $5$ is $\mathbf{390}$.

The correct choice from the given options is : $\mathbf{390}$