What is the prime factorization for 50?

The prime factorization of 50 is 2 × 5 × 5, or expressed in exponent form, 2 × 5².

To find the prime factorization of 50, we need to determine the prime factors that divide evenly into 50.

We start by dividing 50 by the smallest prime number, which is 2. 50 divided by 2 equals 25, so 2 is a prime factor of 50.

Next, we divide 25 by the smallest prime number, which is 5. 25 divided by 5 equals 5, so 5 is also a prime factor of 50.

Since we cannot divide 5 any further, we have determined the prime factorization of 50 to be 2 × 5 × 5, or 2 × 5².