Divisibility Rule For 4 With Examples

The divisibility rule for 4 is straightforward and can be used to quickly determine whether a number is divisible by 4. According to this rule, a number is divisible by 4 if the number formed by its last two digits is divisible by 4.

Steps to Apply the Rule

1. Identify the Number: Start with the number we want to check for divisibility by 4.
2. Look at the Last Two Digits: Focus on the last two digits of the number.
3. Check Divisibility: Determine if this two-digit number is divisible by 4.

• If it is divisible by 4, then the entire number is also divisible by 4.
• If it is not divisible by 4, then the original number is not divisible by 4.

Examples

1. Example 1: Number 312

• Step 1: Identify the number: 312
• Step 2: Last two digits: 12
• Step 3: Check divisibility: 12 ÷ 4 = 3 (exactly, no remainder).
• Conclusion: Therefore, 312 is divisible by 4.

1. Example 2: Number 520

• Step 1: Identify the number: 520
• Step 2: Last two digits: 20
• Step 3: Check divisibility: 20 ÷ 4 = 5 (exactly, no remainder).
• Conclusion: Thus, 520 is divisible by 4.

1. Example 3: Number 987

• Step 1: Identify the number: 987
• Step 2: Last two digits: 87
• Step 3: Check divisibility: 87 ÷ 4 = 21.75 (not an integer).
• Conclusion: Hence, 987 is not divisible by 4.

1. Example 4: Number 2048

• Step 1: Identify the number: 2048
• Step 2: Last two digits: 48
• Step 3: Check divisibility: 48 ÷ 4 = 12 (exactly, no remainder).
• Conclusion: Therefore, 2048 is divisible by 4.

1. Example 5: Number 153

• Step 1: Identify the number: 153
• Step 2: Last two digits: 53
• Step 3: Check divisibility: 53 ÷ 4 = 13.25 (not an integer).
• Conclusion: Thus, 153 is not divisible by 4.

Additional Points

• Two-Digit Numbers: For two-digit numbers, simply use the number itself. For example, for 68:
• Last two digits: 68
• Check divisibility: 68 ÷ 4 = 17 (exactly).
• Conclusion: 68 is divisible by 4.
• Leading Zeros: If the number has leading zeros (e.g., 0048), we still focus on the last two significant digits (48). The outcome remains the same.

Summary

The divisibility rule for 4 is a quick method for checking if a number is divisible by 4 by examining only the last two digits. This makes it easier to determine divisibility without performing lengthy calculations. If the two-digit number formed by the last two digits is divisible by 4, then the entire number is also divisible by 4.