No. 981 is divisible by these numbers: 1, 3, 9, 109, 327, 981.
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327.6667
3, 9, 37, 109, 111, 327, 333, 981, 4033, 12099.
351 is not divisible by 2. 2 is not divisible by 351.
981 ÷ 9 = 109
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 ?)