You can determine if a number is divisible by 5 by checking its last digit.
The divisibility rule for 5 is very straightforward. Here's how to apply it:
- The Rule: A number is divisible by 5 if the digit in the units place (the last digit) is either a 0 or a 5.
Let's look at some examples:
| Number | Last Digit | Divisible by 5? |
|---|---|---|
| 25 | 5 | Yes |
| 100 | 0 | Yes |
| 347 | 7 | No |
| 1235 | 5 | Yes |
| 9870 | 0 | Yes |
| 5555 | 5 | Yes |
| 1234 | 4 | No |
Explanation:
The divisibility rule of 5 stems from the base-10 number system we use. Any number can be broken down into multiples of 10 plus its last digit. All multiples of 10 are divisible by 5. Therefore, the divisibility by 5 depends only on the last digit. As the reference states, "if the digit on the units place, that is, the last digit of a given number is 5 or 0, then such a number is divisible by 5."
In Summary:
To quickly determine if a number is divisible by 5, simply look at the last digit. If it's a 0 or a 5, the number is divisible by 5; otherwise, it is not.
