Divisibility Rule of 383

The divisibility rule for 383 is a method by which we can determine if a number is divisible by 383 without performing division. Let's check whether 76513 is divisible by 383 using this rule.

Step 1: Multiply the last digit of the number by 3. For 76513, the last digit is 3, so multiply it by 3: 3 × 3 = 9.

Step 2: Subtract the result from Step 1 from the remaining digits, excluding the last digit. Thus, 7651 – 9 = 7642.

Step 3: Check if the result (7642) is divisible by 383. If it is, then the original number is also divisible by 383. Since 7642 is not divisible by 383, 76513 is not divisible by 383.

Learning the divisibility rule can help students master division. Here are a few tips and tricks for the divisibility rule of 383:

• Know the multiples of 383: Memorize the multiples of 383 (383, 766, 1149, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 383, then the number is divisible by 383.
   
• Consider negative numbers: If the result after subtraction is negative, ignore the negative sign and consider it positive when checking divisibility.
   
• Repeat the process for large numbers: When dealing with large numbers, continue applying the divisibility process until reaching a smaller number that can be easily checked for divisibility by 383. For instance, to check if 194632 is divisible by 383, multiply the last digit by 3: 2 × 3 = 6. Subtract this from the remaining digits: 19463 – 6 = 19457. Repeat the process: 7 × 3 = 21, 1945 – 21 = 1924. Since 1924 is not divisible by 383, 194632 is not divisible by 383.
   
• Use the division method to verify: Use the division method to cross-check and verify results. This helps confirm the divisibility and aids learning.

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without direct division.
   
• Multiples: The results obtained by multiplying a number by integers. For example, multiples of 383 include 383, 766, and 1149.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one from the other.
   
• Cross-check: Verifying results using an alternative method, such as division, to ensure accuracy.