Divisibility Rule of 84

The divisibility rule for 84 is a method by which we can find out if a number is divisible by 84 or not without using the division method. To determine if a number is divisible by 84, it must be divisible by its prime factors: 2, 3, and 7. Check whether 168 is divisible by 84 with the divisibility rule.

Step 1: Apply the divisibility rule for 2. Check if the last digit is even. In 168, 8 is even, so it is divisible by 2.

Step 2: Apply the divisibility rule for 3. Sum the digits of the number, i.e., 1+6+8=15. Since 15 is divisible by 3, 168 is divisible by 3.

Step 3: Apply the divisibility rule for 7. Double the last digit and subtract it from the rest of the number. Here, 8×2=16, and 16 subtracted from 16 (the remaining digits) is 0, which is a multiple of 7.

Since 168 is divisible by 2, 3, and 7, it is divisible by 84.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 84.

Know the divisibility rules for 2, 3, and 7:

Ensure a number is divisible by all three to confirm divisibility by 84.

Use the divisibility rules sequentially:

Check divisibility by 2, then 3, then 7.

Repeat the process for large numbers:

For large numbers, apply each divisibility rule in sequence.

Use the division method to verify:

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

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

• Prime Factors: Basic numbers like 2, 3, and 7 that multiply to form a composite number like 84.

• Multiple: A number that can be divided by another number without leaving a remainder.

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

• Subtraction: The process of finding the difference between numbers, crucial in the divisibility rule for 7.