No
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No. 93 is divisible by: 1, 3, 31, 93.
18,321 is divisible by: 3, 31, 93, 197, 591, 6107.
Yes, 599422 is divisible by 3. The sum of its digits is 5+9+9+4+2+2 = 31, which is divisible by 3.
No. 31 is prime.
Any number that is divisible by 3 has the sum of its digits equal to 3 or a multiple of 3. 387436 . . . 3 + 8 + 7 + 4 + 3 + 6 = 31 which is NOT a multiple of 3. 2345 . . . . .2 + 3 + 4 + 5 = 14 which is also NOT a multiple of 3. If we make the first number 387435 then this is divisible by 3. And if we alter the second number to 2346 then this now is divisible by 3.