No
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369 is divisible by 1, 3, 9, 41, 123, and 369.
There are 17 numbers between 300 and 400 that are divisible by three but not divisible by two. They are: 303, 309, 315, 321, 327, 333, 339, 345, 351, 357, 363, 369, 375, 381, 387, 393 and 399.
no 360 = 120 x 3 so 363 366 369 are multiples not 367
351 is not divisible by 2. 2 is not divisible by 351.
Of course not ! The answer is right within your question: 2 is divisible by 2 but 2 is not divisible by ... (can you dig it ?)