A number's divisibility by 2, 5, and 10 can be easily determined by examining its last digit.
Divisibility Rule for 2
- Even Numbers: A number is divisible by 2 if it's an even number.
- Last Digit: An even number always ends in 0, 2, 4, 6, or 8.
- Example: 124 is divisible by 2 because its last digit is 4.
Divisibility Rule for 5
- Last Digit 0 or 5: A number is divisible by 5 if its last digit is either 0 or 5.
- Example: 345 is divisible by 5 because its last digit is 5, and 780 is divisible by 5 because its last digit is 0.
Divisibility Rule for 10
- Last Digit Must Be 0: A number is divisible by 10 if its last digit is 0.
- Example: 560 is divisible by 10 because its last digit is 0.
In summary, quickly determining divisibility by these numbers relies on checking the final digit: if it ends in 0, 2, 4, 6, or 8, it is divisible by 2. If it ends in 0 or 5, it is divisible by 5. If it ends in 0, it is divisible by 10.