Divisibility Rule of 65

The divisibility rule for 65 is a method by which we can find out if a number is divisible by 65 without using the division method. Check whether 8450 is divisible by 65 with the divisibility rule.  

Step 1: A number is divisible by 65 if it is divisible by both 5 and 13.

Step 2: To check divisibility by 5, the last digit of the number should be 0 or 5. Since 8450 ends with 0, it is divisible by 5.

Step 3: To check divisibility by 13, add 4 times the last digit to the rest of the number, and see if the result is divisible by 13. For 8450, multiply the last digit 0 by 4: 0 × 4 = 0. Add this to 845: 845 + 0 = 845.

Step 4: Repeat the process for 845. Multiply the last digit 5 by 4: 5 × 4 = 20. Add this to 84: 84 + 20 = 104.

Step 5: Since 104 is a multiple of 13, the original number 8450 is divisible by 13.
Conclusion: Since 8450 is divisible by both 5 and 13, it is divisible by 65.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 65.

Know the multiples of 65:

Memorize the multiples of 65 (65, 130, 195, 260, etc.) to quickly check the divisibility. If the result from the process is a multiple of 65, then the number is divisible by 65.

Use the negative numbers:

If the result we get after the process is negative, we can consider its absolute value for checking the divisibility of a number.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 65.
For example: Check if 8450 is divisible by 65 using the divisibility test.
Follow the steps as explained above.

Use the division method to verify:

Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 5 if the number ends with 0 or 5.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 65 are 65, 130, 195, 260, etc.

• Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.

• Addition: Addition is a process of finding out the sum of two or more numbers.

• Absolute value: The absolute value of a number is its non-negative value, irrespective of its sign.