Divisibility Rule of 82

The divisibility rule for 82 is a method by which we can find out if a number is divisible by 82 or not without using the division method. Check whether 1640 is divisible by 82 with the divisibility rule.  

Step 1: Divide the number into two parts, the last two digits and the remaining digits. Here in 1640, the last two digits are 40, and the remaining digits are 16.

Step 2: Multiply the remaining digits by 82, i.e., 16 × 82 = 1312.

Step 3: Add the result from Step 2 to the last two digits. i.e., 1312 + 40 = 1352.

Step 4: Check if 1352 is a multiple of 82. Since 1352 ÷ 82 = 16.5, it is not a whole number, so 1640 is not divisible by 82.

Learning the divisibility rule helps to master division. Let’s learn a few tips and tricks for the divisibility rule of 82.

Know the multiples of 82:

Memorize the multiples of 82 (82, 164, 246, 328, etc.) to quickly check divisibility. If the result from the addition is a multiple of 82, then the number is divisible by 82.
 

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 without direct division.

• Multiples: The results we get after multiplying a number by an integer. For example, multiples of 82 are 82, 164, 246, etc.

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

• Addition: The process of finding the total or sum by combining two or more numbers.

• Verification: The process of confirming the accuracy of a calculation using an alternative method, such as division.