Divisibility Rule of 403

The divisibility rule for 403 is a method by which we can find out if a number is divisible by 403 or not without using the division method. Check whether 1209 is divisible by 403 with the divisibility rule.

Step 1: Divide the number into smaller parts according to the digits of 403. Since 403 is a three-digit number, divide 1209 into parts: 1, 2, and 09.

Step 2: Multiply each of these parts by specific coefficients that correspond to the digits of 403. Here, multiply 1 by 4, 2 by 0, and 09 by 3.

Step 3: Add the results from step 2. If the sum is a multiple of 403, then the number is divisible by 403. If not, then the number isn't divisible by 403.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 403.

1. Know the multiples of 403:

Memorize the multiples of 403 (403, 806, 1209, ...) to quickly check the divisibility. If the result from the addition is a multiple of 403, then the number is divisible by 403.

2. Use the sum of coefficients:

If the result we get after the addition is large, we can use the sum of the original number's digits and compare it to the sum of 403's digits for a quick check.

3. Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 403. For example, check if 2418 is divisible by 403 using the divisibility test. Divide into parts: 2, 4, and 18. Multiply by coefficients: 2 × 4 = 8, 4 × 0 = 0, 18 × 3 = 54. Add the results: 8 + 0 + 54 = 62. Since 62 is not a multiple of 403, 2418 is not divisible by 403.

4. 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 find out whether a number is divisible by another number or not.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 403 are 403, 806, 1209, etc.

• Coefficients: In the context of divisibility rules, coefficients are numbers used to multiply parts of a number to simplify checking divisibility.

• Addition: Addition is the process of combining two or more numbers to get a total.

• Parts: In divisibility rules, parts refer to segments of a number divided based on the number of digits in the divisor.