Divisibility by 2: the last digit must be even. The last digit of 15114 is 4, which is even, so 15114 is divisible by 2.
Divisibility by 3: the sum of the digits must be divisible by 3. The sum of the digits of 15114 is 12, which is divisible by 3, so 15114 is divisible by 3.
Divisibility by 5: the last digit must be 0 or 5. The last digit of 15114 is 4, so 15114 is not divisible by 5
Divisibility by 9: the sum of the digits must be divisible by 9. The sum of the digits of 15114 is 12, which is not divisible by 9, so 15114 is not divisible by 9.