Divisibility Rule of 712

The divisibility rule for 712 is a method by which we can find out if a number is divisible by 712 or not without using the division method. Check whether 4272 is divisible by 712 with the divisibility rule.

Step 1: Separate the last three digits of the number, here in 4272, 272 is the last three digits.

Step 2: Subtract the last three digits from the remaining part of the number. i.e., 4 - 272 = -268.

Step 3: If the result from step 2 is a multiple of 712 or zero, then the number is divisible by 712. If the result is not a multiple of 712, then the number isn't divisible by 712.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 712.

Know the multiples of 712:

Memorize the multiples of 712 (712, 1424, 2136, 2848…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 712, then the number is divisible by 712.

Use absolute values:

If the result we get after the subtraction is negative, we will consider its absolute value for checking the divisibility of a number.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is easily checked for divisibility by 712. For example: Check if 7128 is divisible by 712 using the divisibility test.

Separate the last three digits, i.e., 128. Subtract the remaining digits from 128, 7 - 128 = -121.

Since -121 is not easily checked for divisibility by 712, repeat the process with smaller numbers if necessary.

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: A set of rules used to determine whether a number is divisible by another number without performing full division.

• Multiple: The result obtained when a number is multiplied by an integer. For example, multiples of 712 are 712, 1424, 2136, 2848, etc.

• Integer: A whole number that includes positive numbers, negative numbers, and zero.

• Subtraction: The process of finding the difference between two numbers by reducing one number from another.

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