Divisibility Rule of 114

The divisibility rule for 114 is a method by which we can find out if a number is divisible by 114 or not without using the division method. Check whether 684 is divisible by 114 with the divisibility rule.

Step 1: Check if the number is divisible by 2. Since 684 ends in 4, it is divisible by 2.

Step 2: Check if the number is divisible by 3. Add the digits of 684: 6 + 8 + 4 = 18. Since 18 is divisible by 3, so is 684.

Step 3: Check if the number is divisible by 19. Divide 684 by 19 to verify. Since 684 ÷ 19 = 36, which is a whole number, 684 is divisible by 19.

Step 4: Since 684 is divisible by 2, 3, and 19, it is divisible by 114.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 114.

Know the factors of 114:

Memorize the factors 2, 3, and 19 to quickly check divisibility. If a number is divisible by all three, then the number is divisible by 114.

Use negative numbers:

If you encounter negative numbers, consider their absolute value for checking divisibility.
Repeat the process for large numbers: Repeat divisibility checks for 2, 3, and 19 until the number is reduced to smaller factors.

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 learn and confirm accuracy.
 

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

Factors: Numbers that divide another number exactly without leaving a remainder. For 114, the factors are 2, 3, and 19.

Absolute value: The non-negative value of a number without regard to its sign.

Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 19 are 19, 38, 57, etc.

Remainder: The amount left over after division when one number doesn't divide another exactly.