Divisibility Rule of 737

The divisibility rule for 737 is a method to determine if a number is divisible by 737 without performing division. Let's verify if 1474 is divisible by 737 using this rule.

Step 1: Multiply the last digit of the number by 2. In 1474, the last digit is 4. Multiply it by 2: 4 × 2 = 8.

Step 2: Subtract the result from Step 1 from the remaining number, excluding the last digit. So, 147 - 8 = 139.

Step 3: If the result from Step 2 is divisible by 737, then the original number is also divisible by 737. Since 139 is not divisible by 737, 1474 is not divisible by 737.

Understanding the divisibility rule can help students excel in division. Here are some tips and tricks for mastering the divisibility rule of 737.

• Know the multiples of 737: Memorize the multiples of 737 (737, 1474, 2211, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 737, then the number is divisible by 737.
   
• Use negative numbers: If you get a negative result after subtraction, ignore the negative sign and treat it as positive for checking divisibility.
   
• Repeat the process for large numbers: Continue applying the divisibility process until you reach a number that is small enough to easily check divisibility by 737.   
  
  For example, check if 4422 is divisible by 737 using the divisibility test.   
  
  Multiply the last digit by 2: 2 × 2 = 4.   Subtract from the remaining number: 442 - 4 = 438. 
   
  Repeat the process: 438 is still large, so multiply the last digit by 2: 8 × 2 = 16.   
  
  Subtract from the remaining number: 43 - 16 = 27. 
  
  Since 27 is not a multiple of 737, 4422 is not divisible by 737.
   
• Use the division method to verify: Students can use division to cross-check their results, ensuring accuracy and reinforcing learning.

• Divisibility rule: A set of guidelines used to determine if one number is divisible by another without direct division.
   
• Multiples: Results from multiplying a number by an integer, such as multiples of 737 (737, 1474, 2211, etc.).
   
• Integers: Whole numbers, including negative numbers and zero.
   
• Subtraction: The process of finding the difference by reducing one number from another.
   
• Division: A mathematical operation where a number is evenly divided by another.