Divisibility Rule of 881

The divisibility rule for 881 is a method by which we can determine if a number is divisible by 881 without using the division method.

Check whether 3524 is divisible by 881 with the divisibility rule.

Step 1: Multiply the last two digits of the number by 9, here in 3524, 24 is the last two digits. Multiply it by 9. 24 × 9 = 216

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last two digits. i.e., 35–216 = -181.

Step 3: As it is shown that -181 is not a multiple of 881, the number is not divisible by 881. If the result from step 2 is a multiple of 881, then the number is divisible by 881.

Learning the divisibility rule helps kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 881.

Know the multiples of 881:

Memorize the multiples of 881 (881, 1762, 2643, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 881, then the number is divisible by 881.

Use the negative numbers:

If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive 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 881.

For example: Check if 1762 is divisible by 881 using the divisibility test. Multiply the last two digits by 9, i.e., 62 × 9 = 558. Subtract the remaining digits excluding the last two digits by 558, 17–558 = -541.

Since -541 is not a multiple of 881, 1762 is not divisible by 881.

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 determine whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even digit.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 881 are 881, 1762, 2643, etc.

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

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

• Verification: Verification is the process of confirming that a calculation or result is accurate, often by using a different method, such as actual division.