3 times 3 times 3 times 2 times 2 is the prime factorization of 108 because:
3 times 3 = 9, 9 times 3 = 27, 27 times 2 = 54, 54 times 2 = 108
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108 54,2 27,2,2 9,3,2,2 3,3,3,2,2
a prime factorization tree
They are: 22*33 = 108
612 306,2 153,2,2 51,3,2,2 17,3,3,2,2
96 48,2 24,2,2 12,2,2,2 6,2,2,2,2 3,2,2,2,2,2