1. The problem is to find the prime factorization of 25. 2. Prime factorization means expressing a number as a product of prime numbers. 3. Start by dividing 25 by the smallest prime number 2. Since 25 is not divisible by 2, try the next prime number 3. 4. 25 is not divisible by 3 either, so try the next prime number 5. 5. 25 is divisible by 5, so divide 25 by 5: $$25 \div 5 = 5$$ 6. Now, 5 is also a prime number, so the prime factorization is complete. 7. Therefore, the prime factorization of 25 is $$5 \times 5 = 5^2$$.