The prime factorization of 38 is 19 multiplied by 2. Prime factorization involves finding which prime numbers may be multiplied together to yield a particular number. Prime numbers are numbers greater than one that are only divisible by one and themselves.
To determine the prime factorization of 38, find two numbers greater than one that divide evenly into 38. Since 38 is an even number, two is an obvious choice, and 2 multiplied by 19 is equal to 38. Two is a prime number, divisible only by one and two. Nineteen is also a prime number, since it is evenly divisible only by one and 19.