Divisibility Rule For 25 With Examples

Divisibility Rule For 25

The divisibility rule for 25 is quite simple and is based on the last two digits of a number. Here’s how it works:

Divisibility Rule for 25

A number is divisible by 25 if its last two digits form a number that is divisible by 25. Specifically, the possible endings that indicate divisibility by 25 are:

• 00
• 25
• 50
• 75

Steps to Check Divisibility by 25

1. Look at the last two digits of the number.
2. Check if these digits form a number that is one of the four endings (00, 25, 50, 75).
3. If they do, the entire number is divisible by 25.

Examples

Example 1: Check if 150 is divisible by 25

1. Last two digits: 50
2. Check: Since 50 is divisible by 25 ((50/25 = 2)), we conclude:

• Conclusion: 150 is divisible by 25.

Example 2: Check if 1234 is divisible by 25

1. Last two digits: 34
2. Check: 34 is not one of the endings (00, 25, 50, 75).

• Conclusion: 1234 is not divisible by 25.

Example 3: Check if 3750 is divisible by 25

1. Last two digits: 50
2. Check: Since 50 is divisible by 25 ((50/25 = 2)), we conclude:

• Conclusion: 3750 is divisible by 25.

Example 4: Check if 1025 is divisible by 25

1. Last two digits: 25
2. Check: Since 25 is divisible by 25 ((25/25 = 1)), we conclude:

• Conclusion: 1025 is divisible by 25.

Example 5: Check if 499 is divisible by 25

1. Last two digits: 99
2. Check: 99 is not one of the endings (00, 25, 50, 75).

• Conclusion: 499 is not divisible by 25.

Example 6: Check if 800 is divisible by 25

1. Last two digits: 00
2. Check: Since 00 is divisible by 25 ((0/25 = 0)), we conclude:

• Conclusion: 800 is divisible by 25.

Summary

To determine if a number is divisible by 25:

• Focus on the last two digits of the number.
• If those digits form a number that is 00, 25, 50, or 75, then the entire number is divisible by 25.

This rule provides a quick and efficient way to check for divisibility by 25, allowing for rapid calculations in mathematics.