2 x 3 x 5 equals 30.
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The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
No, 2x2x2x3x5x5 is not a prime factorization. A prime factorization is a representation of a number as a product of prime numbers. In this case, 2x2x2x3x5x5 can be simplified to 2^3 x 3 x 5^2, which is the prime factorization of the number.
The prime factorization of 24 is 2 x 2 x 2 x 3. The number represented by that prime factorization is 24.
The greatest prime factor they have in common is 2.
The prime factorization of the number 66 is: 2 x 3 x 11