Find the Number with Prime Factors 5, 7, and 5: Mathematical Challenge

To solve this problem, we'll multiply the given prime factors $5, 7,$ and $5$ to determine the original number.

• Step 1: Multiply the prime factors together: $(5 \times 5) \times 7$.
• Step 2: Calculate $5 \times 5$, which equals $25$.
• Step 3: Multiply the result by the remaining prime factor: $25 \times 7 = 175$.

Therefore, the solution to the problem is $175$.