Divisibility Rule of 115

The divisibility rule for 115 is a method by which we can find out if a number is divisible by 115 or not without using the division method. Check whether 1840 is divisible by 115 using the divisibility rule.

Step 1: Check if the number is divisible by both 5 and 23. 
For divisibility by 5, the last digit of the number should be 0 or 5. In 1840, the last digit is 0.
For divisibility by 23, divide the number by 23. 1840 ÷ 23 = 80, which is an integer.

Step 2: Since 1840 ends in 0 and is divisible by 23, it is divisible by 115.

Understanding the divisibility rule helps to master division. Let’s learn a few tips and tricks for the divisibility rule of 115.

Know the multiples of 115:

Memorize the multiples of 115 (115, 230, 345, 460, etc.) to quickly check divisibility.

Check divisibility by 5 first:

If the last digit is not 0 or 5, the number is not divisible by 115.

Use the division method for verification:

Students can use the division method to verify and crosscheck their results, which will help them to verify and also learn.

Repeat the process for larger numbers:

For larger numbers, ensure divisibility by both 5 and 23. For example, check if 5750 is divisible by 115:
The last digit is 0, so it's divisible by 5.
Divide 5750 by 23: 5750 ÷ 23 = 250, which is an integer.

• Divisibility rule: A set of guidelines used to determine if a number is divisible by another number.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 115 are 115, 230, 345, etc.

• Integer: A whole number that can be positive, negative, or zero.

• Division: The process of determining how many times one number is contained within another.

• Verification: The process of confirming the accuracy of a calculation or result.