Determining if a number is divisible by 4 is quite simple and can be done by following a specific rule. This rule states that a number is divisible by 4 if the number formed by its last two digits is divisible by 4. Here’s how you can apply this rule:
- Look at the Number: Take the number you want to check. For example, let’s consider the number 312.
- Identify the Last Two Digits: From our example, the last two digits of 312 are 12.
- Check Divisibility: Now, determine if this two-digit number (12) is divisible by 4. You can do this by dividing it by 4:
12 ÷ 4 = 3 (which is a whole number)
This means that 12 is divisible by 4, and consequently, 312 is also divisible by 4.
Let’s take another example: the number 135.
- Last Two Digits: The last two digits are 35.
- Divisibility Check: Dividing 35 by 4:
35 ÷ 4 = 8.75 (which is not a whole number)
Since 35 is not divisible by 4, we conclude that 135 is not divisible by 4.
This technique is particularly useful because it simplifies the process, allowing you to quickly determine divisibility without having to perform lengthy calculations. Remember, this rule is applicable to any whole number, regardless of how many digits it has. Just focus on the last two digits, and you’ll have your answer!