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2463.

The trick is that a number is divisible by 3 if and only if the sum of its digits is divisible by 3. 1+3+2+4 = 10 (not divisible by 3), while 2+4+6+3 = 15 (divisible by 3).

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Q: What number is divisible by 3 1324 or 2463?
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The factors of 2463 are: 1, 3, 821, 2463


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