Indices, SM-Bank 053 A number is divisible by 12 if it is also divisible by 3 and 4. Prove, using the divisibility tests for 3 and 4, that 756 is divisible by 12. (2 marks) Show Answers Only \(\text{See worked solution}\) Show Worked Solution \(\text{A number is divisible by }3\ \text{if the sum of the digits is divisible by }3.\) \(7+5+6=18\ \Rightarrow\ \text{divisible by 3}\ \checkmark\) \(\text{For divisibility by }4\ \text{the last 2 digits in the number must be divisible by }4. \) \(56\ ÷\ 4=14\ \Rightarrow\ \text{divisible by 4}\ \checkmark\) \(\therefore 756\ \text{is divisible by }12\ \text{as it is divisible by both }3\ \text{and }4.\)