what is prime factorization of 58

2 * 29

To find the prime factorization of 58, we need to express it as a product of prime numbers.

First, we check if 58 is divisible by the smallest prime number, which is 2. Since 58 is even, it is divisible by 2. Therefore, we divide 58 by 2, which gives us 29.

Now, we check if 29 is divisible by any prime numbers larger than 2. Since 29 is a prime number itself, we have reached the end of the factorization. Therefore, the prime factorization of 58 is 2 * 29.