Divisibility Rule of 969

The divisibility rule for 969 is a method to find out if a number is divisible by 969 without directly dividing it. Check whether 58257 is divisible by 969 using the divisibility rule.

Step 1: Multiply the last digit of the number by 2. In this case, 7 is the last digit: 7 × 2 = 14.

Step 2: Subtract the result from Step 1 from the remaining part of the number, excluding the last digit. For 5825, subtract 14: 5825 - 14 = 5811.

Step 3: Repeat the process with the new number. Multiply the last digit of 5811 by 2: 1 × 2 = 2.

Step 4: Subtract the result from the remaining digits: 581 - 2 = 579.

Step 5: Continue the process until a manageable number is obtained. Multiply the last digit of 579 by 2: 9 × 2 = 18.

Step 6: Subtract from the remaining number: 57 - 18 = 39.

Step 7: As 39 is not a multiple of 969, the original number is not divisible by 969. If the result from the subtraction is a multiple of 969, then the number is divisible by 969.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 969.

Know the multiples of 969:

Memorize the multiples of 969 (969, 1938, 2907, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 969, then the number is divisible by 969.

Use negative numbers:

If the result obtained after subtraction is negative, ignore the negative sign and consider the number as positive for checking divisibility.

Repeat the process for large numbers:

Continue repeating the divisibility process until reaching a small number that is divisible by 969.

Use the division method to verify:

Use the division method as a way to verify and cross-check results. This helps in verification and learning.

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.

• Multiples: The results obtained from multiplying a number by an integer. For example, multiples of 969 are 969, 1938, 2907, etc.

• Integers: Whole numbers, including negative numbers and zero.

• Subtraction: The process of finding the difference between two numbers by reducing one number from another.

• Verification: The process of confirming the accuracy of a result, often by using a different method such as direct division.