A number is divisible by 10 if its last digit is 0.
Divisibility Rule for 10 Explained
The divisibility rule for 10 is straightforward. A number is divisible by 10 if and only if its last digit is 0. This is because 10 = 2 * 5, meaning a number divisible by 10 must be divisible by both 2 and 5.
Why does this work?
- Divisibility by 2: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
- Divisibility by 5: A number is divisible by 5 if its last digit is either 0 or 5.
To be divisible by both 2 and 5 (and thus by 10), the last digit must be 0.
Examples of Numbers Divisible by 10
Here are some examples to illustrate this rule:
- 20: Divisible by 10 because the last digit is 0.
- 150: Divisible by 10 because the last digit is 0.
- 650: Divisible by 10 because the last digit is 0.
- 500: Divisible by 10 because the last digit is 0.
- 1000: Divisible by 10 because the last digit is 0.
How to Check Divisibility by 10
- Identify the last digit: Look at the digit in the ones place of the number.
- Check if it's 0: If the last digit is 0, the number is divisible by 10. If it's any other digit, the number is not divisible by 10.
Table Summarizing Divisibility by 10
| Number | Last Digit | Divisible by 10? |
|---|---|---|
| 30 | 0 | Yes |
| 45 | 5 | No |
| 120 | 0 | Yes |
| 333 | 3 | No |
| 1000 | 0 | Yes |
