Problem 315

The ones digit of 119 is not even, so 119 is not a multiple of 2. The ones digit of 119 is not 0 or 5, so 119 is not a multiple of 5. Since $120=3 \times 40$, then 119 is 1 less than a multiple of 3 so is not itself a multiple of 3. Since $110=11 \times 10$ and $121=11 \times 11$, then 119 is between two consecutive multiples of 11, so is not itself a multiple of 11. Finally, $119 \div 7=17$, so 119 is a multiple of 7.