Determine the number of 3 digit positive integers whose digits have a product that is 144?
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The only ways to separate 144 into 3 single digits are: 2,8,9/3,6,8/4,4,9/4,6,6
2,8,9 and 3,6,8 each have 3x2 combinations
4,4,9 and 4,6,6 each have 3 combinations
So the answer is 18