The prime factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The factor pairs of 864 are (864,1)(432,2)(288,3)(216,4)(144,6)(108,8)(96,9)(72,12)(54,16)(48,18)(36,24)(32,27)
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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)
In exponents: 25*33 = 864
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!