Divisibility Rule of 353

The divisibility rule for 353 is a method by which we can find out if a number is divisible by 353 or not without using the division method. Check whether 3530 is divisible by 353 with the divisibility rule.

Step 1: Multiply the last digit of the number by 106, here in 3530, 0 is the last digit, multiply it by 106. 0 × 106 = 0

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit, i.e., 353–0 = 353.

Step 3: As it is shown that 353 is a multiple of 353, therefore, the number is divisible by 353. If the result from step 2 isn't a multiple of 353, then the number isn't divisible by 353.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 353.

Know the multiples of 353:

Memorize the multiples of 353 (353, 706, 1059, ... etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 353, then the number is divisible by 353.

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 353.

For example, check if 7060 is divisible by 353 using the divisibility test. Multiply the last digit by 106, i.e., 0 × 106 = 0. Subtract the remaining digits excluding the last digit by 0, 706–0 = 706. As 706 is a multiple of 353, 7060 is divisible by 353.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 353 if following the specific steps results in a multiple of 353.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 353 are 353, 706, 1059, etc.

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

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

• Verification: Verification is the process of confirming the accuracy of a result using another method, such as division, to ensure correctness.