Divisibility Rule of 112

The divisibility rule for 112 is a method by which we can determine if a number is divisible by 112 without using the division method. Check whether 2240 is divisible by 112 using the divisibility rule.

Step 1: Check if the number is divisible by 4. The last two digits of 2240 are 40, which is divisible by 4.

Step 2: Check if the number is divisible by 28. Divide 2240 by 4 to get 560. Then divide 560 by 28 to see if it is a whole number. 560 ÷ 28 = 20, which is a whole number.

Since 2240 passes both tests, it is divisible by 112.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 112.

Know the multiples of 112:

Memorize the multiples of 112 (112, 224, 336, 448, etc.) to quickly check divisibility. If the calculated number is a multiple of 112, then the original number is divisible by 112.

Use known divisibility rules:

Apply the divisibility rules for 4 and 28, as a number divisible by both is divisible by 112.

Repeat the process for large numbers:

If the number is large, break it down using the divisibility rules for 4 and 28 iteratively until you verify 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 ensure accuracy.

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

• Multiples: Numbers obtained by multiplying a number by an integer. For example, multiples of 112 are 112, 224, 336, etc.

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

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

• Whole number: A non-negative number without fractions; an integer.