Solve for the Number: Identifying the Product of Prime Factors 2, 3, and 5

To solve this problem, we follow these steps:

• Step 1: Understand that the problem specifies the number whose prime factors are $2, \, 3,$ and $5$.
• Step 2: Multiply these prime factors to find the number.
• Step 3: Perform the multiplication of the numbers.

Let's carry out the calculations:
Step 1: We recognize the number must be composed of the factors $2, 3,$ and $5$.
Step 2: Multiply $2 \times 3 = 6$.
Step 3: Multiply this result by $5$: $6 \times 5 = 30$.

Therefore, the number whose prime factors are $2, 3,$ and $5$ is $30$.