The prime factorization of 612 is 2 x 2 x 3 x 3 x 17
The factor pairs of 612 are (612,1)(306,2)(204,3)(153,4)(102,6)(68,9)(51,12)(36,17)(34,18)
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612 306,2 153,2,2 51,3,2,2 17,3,3,2,2
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!
There is no need to do prime factorization as prime numbers are already prime.