5,184 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 3 OR 2^6 * 3^4
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180-60x3,10x6,5x2,2x3252-126x2,2x63,9x8,3x3,4x2,2x25x2x2x3x3x2x3x3x2x2x2x2=5184
Cut 5184 in half six times, then divide that number by 3 four times.
As a product of its prime factors in exponents it is: 26*34 = 5184
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.