Divisibility Rule For 5 With Examples

Divisibility Rule for 5

The divisibility rule for 5 is straightforward:

A number is divisible by 5 if its last digit is either 0 or 5.

Explanation

When we look at numbers, the last digit plays a crucial role in determining their divisibility by 5. Here’s how it works:

This is a simple and quick way to determine if a number can be evenly divided by 5.

1. Last Digit = 0: If the last digit of a number is 0, the number is a multiple of 5.
2. Last Digit = 5: If the last digit of a number is 5, the number is also a multiple of 5.
3. Last Digit ≠ 0 or 5: If the last digit is anything else (1, 2, 3, 4, 6, 7, 8, 9), the number is not divisible by 5.

Visual Representation

Here’s how we might visualize the last digits of different numbers:

• Divisible by 5:
  • Numbers Ending in 0: 10, 20, 30, 40, 50
  • Numbers Ending in 5: 5, 15, 25, 35, 45
• Not Divisible by 5:
  • Ending in Other Digits: 12, 22, 33, 44, 56, 67, 78, 89
• Last Digit = 0: Numbers that end with a 0 are multiples of 5.
• Last Digit = 5: Numbers that end with a 5 are also multiples of 5.

Examples

1. Example 1: 25

• Last digit: 5
• Since the last digit is 5, 25 is divisible by 5.
• Calculation: ( 25\5 = 5 )

1. Example 2: 40

• Last digit: 0
• Since the last digit is 0, 40 is divisible by 5.
• Calculation: ( 40\5 = 8 )

1. Example 3: 78

• Last digit: 8
• Since the last digit is neither 0 nor 5, 78 is not divisible by 5.

1. Example 4: 105

• Last digit: 5
• Since the last digit is 5, 105 is divisible by 5.
• Calculation: ( 105\5 = 21 )

1. Example 5: 230

• Last digit: 0
• Since the last digit is 0, 230 is divisible by 5.
• Calculation: ( 230\5 = 46 )

Summary

To check if any number is divisible by 5, simply look at the last digit. If it’s 0 or 5, then the number is divisible by 5. This rule is quick and efficient, especially for larger numbers.