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If it's to be divisible by 5, it must end in 5 or 0. To be divisible by 2, it must be even, which means ending in 0. And if it's to be divisible by 3, adding the digits together must result in a multiple of 3.
The smallest such number is 120; the largest is 990.
Since 2 x 3 x 5 = 30, all multiples of 30 would qualify. Note that 120 = 30 x 4, and 990 = 30 x 33.
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