Divisibility Rule of 68

The divisibility rule for 68 is a method by which we can find out if a number is divisible by 68 or not without using the division method. Check whether 2040 is divisible by 68 with the divisibility rule.

Step 1: Check if the number is divisible by both 4 and 17, as 68 is the product of these numbers.
For divisibility by 4: The last two digits of the number must be divisible by 4.
For divisibility by 17: Use the rule that involves checking if the remainder of dividing the number by 17 is zero.

Step 2: For 2040, the last two digits are 40, which is divisible by 4.

Step 3: Now divide 2040 by 17. If there is no remainder, the number is divisible by 68.
2040 ÷ 17 = 120, which is an integer, indicating divisibility by 17.

Since 2040 is divisible by both 4 and 17, it is divisible by 68.

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 68.

Know the multiples of 68:

Memorize the multiples of 68 (68, 136, 204, 272, 340, etc.) to quickly check divisibility.

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.

Practice with smaller numbers:

 Break down larger numbers into smaller sections to test divisibility by 4 and 17 separately.

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

• Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 68 are 68, 136, 204, etc.

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

• Remainder: The amount left over after division when one number does not divide another exactly.

• Division: The process of determining how many times one number is contained within another.