Divisibility Rule of 882

The divisibility rule for 882 is a method by which we can determine if a number is divisible by 882 without using the division method.

Check whether 1764 is divisible by 882 using the divisibility rule.  

Step 1: Verify divisibility by 2: The number must be even. Here, 1764 is even, so it passes this step.  

Step 2: Verify divisibility by 3: Add the digits of the number. If the sum is divisible by 3, then the number is divisible by 3. Here, 1 + 7 + 6 + 4 = 18, and 18 is divisible by 3.  

Step 3: Verify divisibility by 7: Follow the rule for 7 (multiply the last digit by 2 and subtract from the rest). Here, 4 × 2 = 8, and 176 - 8 = 168. Since 168 is divisible by 7, 1764 is also divisible by 7.  

Step 4: If a number is divisible by 2, 3, and 7, it is divisible by 882. Therefore, 1764 is divisible by 882.

Learning the divisibility rule will help you master division. Let’s explore a few tips and tricks for the divisibility rule of 882. 

Know the factors of 882:

Memorize the factors of 882 (2, 3, 7) to quickly check divisibility. A number divisible by all these factors is divisible by 882.  

Use negative numbers:

If the result after subtraction in the rule for 7 is negative, consider it as positive for checking divisibility.  

Repeat the process for large numbers:

Keep repeating the divisibility checks for 2, 3, and 7 until you reach smaller numbers.  

Use the division method to verify:

Use division to verify and cross-check your results for accuracy. 

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

• Factors: Numbers that divide another number completely without leaving a remainder.

• Multiple: The product of a number and an integer.

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

• Subtraction: The process of finding the difference between two numbers.