A number is divisible by 4 if the number formed by its last two digits is divisible by 4, or if the last two digits are zeros.
Here's a breakdown to help you understand the divisibility rule of 4:
- Focus on the Last Two Digits: The key to determining if a number is divisible by 4 is to look only at its last two digits.
- Check for Zeros: If the last two digits of a number are '00', then the number is divisible by 4. For instance, 100, 500, 1200, and 3400 are all divisible by 4 because their last two digits are zeros.
- Divisibility by 4: If the last two digits form a number that is divisible by 4, the entire number is divisible by 4. The multiples of four include 4, 8, 12, 16, 20, 24, and so on. This rule is a quick check for divisibility by 4.
Examples:
| Number | Last Two Digits | Divisible by 4? |
|---|---|---|
| 124 | 24 | Yes (24 / 4 = 6) |
| 316 | 16 | Yes (16 / 4 = 4) |
| 123 | 23 | No (23 is not divisible by 4) |
| 100 | 00 | Yes |
| 2000 | 00 | Yes |
| 1528 | 28 | Yes (28 / 4 = 7) |
| 9876 | 76 | Yes (76 / 4 = 19) |
| 4563 | 63 | No (63 is not divisible by 4) |
Practical insights:
- This rule is a very quick way to check if a number can be evenly divided by 4 without performing a long division.
- It's especially helpful when working with larger numbers.
- Understanding this divisibility rule is useful for mental math and quick estimations.
In summary, apply this simple rule: If the number formed by the last two digits of a number is either divisible by 4 or is '00,' then the entire number is divisible by 4.
