Divisibility Rule of 241

The divisibility rule for 241 is a method by which we can find out if a number is divisible by 241 or not without using the division method. Check whether 482 is divisible by 241 with the divisibility rule.

Step 1: Multiply the last two digits of the number by 241, here in 482, 82 is the last two digits. Multiply it by 1. 82 × 1 = 82

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last two digits. i.e., 4 – 82 = -78.

Step 3: Since -78 is not a multiple of 241, therefore, the number is not divisible by 241. If the result from step 2 is a multiple of 241, then the number is divisible by 241.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 241.

Know the multiples of 241:

Memorize the multiples of 241 (241, 482, 723,...) to quickly check the divisibility. If the result from the subtraction is a multiple of 241, then the number is divisible by 241.

Use the 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 divisible by 241. For example, check if 48200 is divisible by 241 using the divisibility test. Multiply the last two digits by 1, i.e., 00 × 1 = 0. Subtract the result from the remaining digits excluding the last two digits, 482 – 0 = 482. As 482 is a multiple of 241, 48200 is divisible by 241.

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 2 if the number ends with an even number.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 241 are 241, 482, 723, etc.

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

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

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