Divisibility Rule of 714

The divisibility rule for 714 is a method by which we can find out if a number is divisible by 714 or not without using the division method. Check whether 1428 is divisible by 714 with this divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 7.
For divisibility by 2: The number should end in an even digit.
For divisibility by 3: Sum the digits of the number and see if the sum is divisible by 3.
For divisibility by 7: Double the last digit and subtract it from the rest of the number. If the result is a multiple of 7, then the number is divisible by 7.

Step 2: Check 1428:
Divisibility by 2: 1428 ends in 8, which is even.
Divisibility by 3: 1 + 4 + 2 + 8 = 15, and 15 is divisible by 3.
Divisibility by 7: Take the last digit (8), double it (16), and subtract from the remaining number (142 - 16 = 126). 126 is divisible by 7.

Step 3: Since 1428 is divisible by 2, 3, and 7, it is divisible by 714.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 714.

Know the smallest divisors:

Memorize the divisibility rules for 2, 3, and 7 since a number must be divisible by all these to be divisible by 714.

Use negative numbers:

If a result during checking divisibility by 7 is negative, disregard the sign and consider it positive.
Repeat the process for large numbers: For larger numbers, repeat the divisibility checks until you find a clear conclusion.

Use the division method to verify:

Students can use the division method to verify and cross-check their results.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

• Even number: A number that is divisible by 2.

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

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

• Integer: A number that includes all whole numbers and their negatives.