Divisibility Rule of 113

The divisibility rule for 113 is a method by which we can find out if a number is divisible by 113 or not without using the division method. Check whether 2260 is divisible by 113 with the divisibility rule.

Step 1: Take the last two digits of the number, here in 2260, 60 is the last two digits.

Step 2: Multiply the last two digits by 9. 60 × 9 = 540.

Step 3: Subtract the result from Step 2 from the remaining number. i.e., 22 - 540 = -518.

Step 4: Since the result is not zero or a multiple of 113, 2260 is not divisible by 113. If the result from step 3 is zero or a multiple of 113, then the number is divisible by 113.

Learn divisibility rule; it will help kids to master the division. Let’s learn a few tips and tricks for the divisibility rule of 113.

Know the multiples of 113:

Memorize the multiples of 113 (113, 226, 339, 452, 565… etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 113, then the number is divisible by 113.

Use the negative numbers:

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 divisible by 113. For example: Check if 6789 is divisible by 113 using the divisibility test. Take the last two digits, 89, and multiply by 9, i.e., 89 × 9 = 801. Subtract 801 from the remaining number, 67 - 801 = -734. Since -734 is not zero or a multiple of 113, 6789 is not divisible by 113.

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: The set of rules used to determine whether a number is divisible by another number or not. For example, a number is divisible by 113 if specific conditions are met.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 113 are 113, 226, 339, etc.

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

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

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