This number would have to be a squared number as it only has 15 factors. The number I have calculated is 324 as the square root is 18
255
280
smallest prime number that divides 300 exactly = 2
It is: (300+400)/2 = 350
300 - exactly as it was.
240
240
210
If 245 is a factor, and it is between 200 and 300, then the number must be 245 - provided it is a multiple of 7, which it is.
255
280
smallest prime number that divides 300 exactly = 2
The smallest number that has 9 and 12 as factors is 36.
Here are all five of them: 169,196,225,256,289.
305
300
The number 329 is 7 x 47.