Numbers divisible by 2 must end in either 2, 4, 6, 8 or 0.

So, your search is already narrowed down to numbers between 200 and 300 that end in 0 (i.e., 200, 210, 220, 230, 240, 250, 260, 270, 280, 290 and 300).

Numbers divisible by 3 have digits in them that add up to a number divisible by 3 (e.g., 27 is 2 + 7 = 9, which is divisible by 3). Of the numbers listed above, only 210, 240, 270 and 300 satisfy this criterion.

So, your answer is any of 210, 240, 270 and 300.

(2)(3)(5) = 30

If 30 is multiplied by a value and the result is between 200 and 300 you have your answer (hint … try 9)

Is that enough to get you going?