The document provides rules to determine if a number is divisible by certain integers from 2 to 12. It gives examples of numbers that satisfy each rule and the reasoning for why they are divisible. The key points are: 1) A number is divisible by 2 if the last digit is even 2) A number is divisible by 3 if the sum of its digits is divisible by 3 3) A number is divisible by 4 if the last two digits form a number divisible by 4 4) A number is divisible by 5 if it ends in 0 or 5 5) A number is divisible by 6 if it is divisible by both 2 and 3 6) A number is divisible by 8 if the last three digits form