Some positive numbers are divisible by 13, but not all of them.
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The divisibility rule for 3 is as follows: If the sum of the digits of a number is divisible by 3 then the number is divisible by 3. For example, the number 21 is divisible by 3 since 2+1=3, and 3 is divisible by 3. The number 49 is not divisible by 3 since 4+9=13, and 13 is not divisible by 3.
30, which is the smallest positive integer divisible by the first three primes: 2, 3 and 5.
The number must be divisible by 13 and by 11.
The smallest number is 420.
112