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150.

100/ 6 = 16 2/3 so 17 x 6 = 102 is the first three digit multiple of 6

1000 / 6 = 166 2/3 so 166 x 6 = 996 is the last three digit multiple of 6

So there are 166 - 17 + 1 = 150 three digit multiples of 6.

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Q: How many positive three digit integers are multiples of 6?
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