Final answer:
The prime factorization of the number 95 is 5¹ × 19¹, as 95 can be divided by 5 to give a prime factor of 19, and both 5 and 19 are prime numbers.
Step-by-step explanation:
The prime factorization of the number 95 is found by identifying the prime numbers that multiply together to give 95. Since 95 is not an even number, we know it cannot be divided evenly by 2. We then check the next smallest prime number, which is 3, and find that it does not divide evenly into 95. Testing 5 as a divisor, we find that 95 divided by 5 equals 19. As 19 is also a prime number (since it has no divisors other than 1 and itself), we have found the prime factors of 95, which are 5 and 19. Therefore, the prime factorization of 95 can be written as 5¹ × 19¹. This factorization expresses that 95 is the product of the prime numbers 5 and 19 raised to the first power (since both are present only once in the factorization).