Use a factor tree.
216
108,2
54,2,2
27,2,2,2
9,3,2,2,2
3,3,3,2,2,2
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23 x 33 = 216
In a prime factorization, exponents are a form of shorthand.2 x 2 x 2 x 3 x 3 x 3 is the prime factorization of 216.That can be written as 23 x 33
No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.
When all the factors are prime numbers, that's a prime factorization.
Prime factorization!