Calculate the positive square root of the sum of prime numbers less than 25 using the prime factor method.

Here are the solutions to the problems:

1. Positive square root using prime factor method

Step 1: Identify all prime numbers greater than 1 and less than 25.
The prime numbers are $2, 3, 5, 7, 11, 13, 17, 19, 23$.

Step 2: Calculate the sum of these prime numbers.

$$2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 = 100$$

Step 3: Find the prime factorization of the sum (100).

$$100 = 2 \times 50$$ $$$$