Indices, SM-Bank 052 Prove using divisibility tests that 282 is divisible by 6. (2 marks) Show Answers Only \(\text{See worked solution}\) Show Worked Solution \(\text{A number is divisible by }6\ \text{if it is divisible by both }2\ \text{and }3.\) \(\text{For divisibility by }2\ \text{the number must end in }2 , 4 , 6 , 8 , 0.\ \checkmark\) \(\text{For divisibility by }3\ \text{the sum of the digits must be divisible by }3.\) \(2+8+2=12\ \Rightarrow\ \text{divisible by 3}\ \checkmark\) \(\therefore 282\ \text{is divisible by }6\)