Q:

# What is the prime factorization of 38?

A:

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.

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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.

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