The prime factorization of 95 is 5 × 19.
To arrive at this conclusion, we start by determining the prime numbers that divide 95 evenly. First, we can see that 95 is an odd number, so it is not divisible by 2. Next, we check 3 by adding the digits (9 + 5 = 14), which is not divisible by 3. Then we try dividing by 5, and since 95 ends with a 5, it is indeed divisible by 5. When we divide 95 by 5, we get 19.
Now, we need to check if 19 is a prime number. A prime number is one that cannot be divided evenly by any other number except for 1 and itself. Since 19 has no divisors other than 1 and 19, it is prime.
Therefore, we can express 95 as the product of its prime factors, which are 5 and 19. In conclusion, the prime factorization of 95 is 5 × 19.