Divisibility Rule of 341

The divisibility rule for 341 is a method by which we can determine if a number is divisible by 341 without using the division method. Check whether 1023 is divisible by 341 with the divisibility rule.

Step 1: Multiply the last digit of the number by 10, here in 1023, 3 is the last digit, so multiply it by 10. 3 × 10 = 30.

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 102–30 = 72.

Step 3: As it is shown that 72 is not a multiple of 341, the number is not divisible by 341. If the result from step 2 is a multiple of 341, then the number is divisible by 341.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 341.

Know the multiples of 341:

Memorize the multiples of 341 (341, 682, 1023, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 341, then the number is divisible by 341.

Use the negative numbers:

If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive 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 341. For example, check if 2046 is divisible by 341 using the divisibility test. Multiply the last digit by 10, i.e., 6 × 10 = 60. Subtract the remaining digits excluding the last digit by 60, 204–60 = 144. Still, 144 is not a multiple of 341, hence 2046 is not divisible by 341.

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.

• Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 341 are 341, 682, 1023, etc.

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

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

• Verification: The process of confirming the correctness of a calculation or result, often done using an alternative method like division.