Students learn that the prime factorization of a number is the given number written as the product of its prime factors. For example, to find the prime factorization of 45, use a factor tree to find that 45 is 5 x 9, and 9 is 3 x 3. So the prime factorization of 45 is 5 x 3 x 3, or 5 x 3^2.
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45 is NOT a prime number.
73 is a prime number, but 45 is not a prime number.
3 is one of the prime numbers of 45.
Prime factorization of 45 is 3x3x5. Prime factorization of 65 is 5x13.
15 is a factor of 45, but it is not a prime number.