Divisibility Rule of 379

The divisibility rule for 379 provides a method to check if a number is divisible by 379 without performing division. Let's determine whether 1137 is divisible by 379 using the divisibility rule.

Step 1: Multiply the last digit of the number by 9. For 1137, the last digit is 7. Multiply it by 9: 7 × 9 = 63.

Step 2: Subtract the result from Step 1 from the rest of the numbers, excluding the last digit. Thus, 113 - 63 = 50.

Step 3: Since 50 is not a multiple of 379, 1137 is not divisible by 379.

Understanding the divisibility rule will help students master division. Here are some tips and tricks for the divisibility rule of 379:

• Know the multiples of 379: Memorize multiples of 379 (379, 758, 1137, etc.) to quickly check divisibility.
   
• Use negative numbers: If the result after subtraction is negative, consider it as positive for checking divisibility.
   
• Repeat the process for large numbers: Continue applying the divisibility process until you obtain a smaller number that can be easily checked. For example, to check if 3418 is divisible by 379:
  
  Multiply the last digit by 9, i.e., 8 × 9 = 72.
  
  Subtract 72 from the remaining digits, excluding the last digit: 341 - 72 = 269.
  
  Since 269 is not a multiple of 379, 3418 is not divisible by 379.
   
• Use the division method to verify: Students can use division to verify and cross-check their results, helping them confirm and learn the process.

• Divisibility rule: A set of rules used to determine if a number is divisible by another number.
   
• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 379 are 379, 758, 1137, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one number from another.
   
• Verification: The process of using division to confirm the results of a divisibility test.