Divisibility Rule of 737
2026-02-28 19:09 Diff
https://brightchamps.com/en-us/math/numbers/divisibility-rule-of-737

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Last updated on August 5, 2025

The divisibility rule is a technique to determine whether a number can be divided by another number without directly performing division. In practical scenarios, the divisibility rule is beneficial for quick calculations, evenly distributing items, and organizing data. In this topic, we will explore the divisibility rule of 737.

What is the 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.

Tips and Tricks for Divisibility Rule of 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.

Common Mistakes and How to Avoid Them in Divisibility Rule of 737

The divisibility rule of 737 helps quickly determine if a number is divisible by 737, but mistakes like calculation errors can lead to wrong conclusions. Here are some common mistakes and solutions.

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Problem 1

Is 1474 divisible by 737?

Okay, lets begin

Yes, 1474 is divisible by 737.

Explanation

To check if 1474 is divisible by 737:  


1) Multiply the last digit of the number by 3, 4 × 3 = 12.

 
2) Subtract the result from the remaining digits, excluding the last digit, 147 - 12 = 135.

 
3) Since 135 is not a multiple of 737, repeat the process:  


   - Multiply the last digit of 135 by 3, 5 × 3 = 15.  


   - Subtract from the remaining digits, 13 - 15 = -2.  


4) Since -2 is not a multiple of 737, 1474 is not divisible by 737.

Well explained 👍

Problem 2

Check the divisibility rule of 737 for 7370.

Okay, lets begin

Yes, 7370 is divisible by 737. 

Explanation

For checking the divisibility of 7370 by 737:  


1) Multiply the last digit of the number by 3, 0 × 3 = 0.  


2) Subtract the result from the remaining digits, 737 - 0 = 737.  


3) Since 737 is a multiple of 737, 7370 is divisible by 737.

Well explained 👍

Problem 3

Is 2206 divisible by 737?

Okay, lets begin

No, 2206 is not divisible by 737. 

Explanation

To check the divisibility of 2206 by 737:  


1) Multiply the last digit of the number by 3, 6 × 3 = 18.  


2) Subtract the result from the remaining digits, 220 - 18 = 202.

 
3) Since 202 is not a multiple of 737, 2206 is not divisible by 737.

Well explained 👍

Problem 4

Can 3685 be divisible by 737 following the divisibility rule?

Okay, lets begin

No, 3685 isn't divisible by 737. 

Explanation

To check if 3685 is divisible by 737:  


1) Multiply the last digit of the number by 3, 5 × 3 = 15.  


2) Subtract the result from the remaining digits, 368 - 15 = 353.  


3) Since 353 is not a multiple of 737, 3685 is not divisible by 737.

Well explained 👍

Problem 5

Check the divisibility rule of 737 for 73700.

Okay, lets begin

Yes, 73700 is divisible by 737.

Explanation

To check the divisibility of 73700 by 737:  


1) Multiply the last digit of the number by 3, 0 × 3 = 0.  


2) Subtract the result from the remaining digits, 7370 - 0 = 7370.  


3) Since 7370 is a multiple of 737, 73700 is divisible by 737.

Well explained 👍

FAQs on Divisibility Rule of 737

1.What is the divisibility rule for 737?

The divisibility rule for 737 involves multiplying the last digit by 2, subtracting that result from the remaining digits excluding the last digit, and checking if the result is divisible by 737.

2.How many numbers are there between 1 and 1000 that are divisible by 737?

Only 737 itself is between 1 and 1000 and divisible by 737.

3.Is 1474 divisible by 737?

No, because after applying the divisibility rule, the result is not a multiple of 737.

4.What if I get 0 after subtracting?

If you get 0 after subtracting, it means the number is divisible by 737.

5.Does the divisibility rule of 737 apply to all integers?

Yes, the divisibility rule of 737 applies to all integers.

Important Glossaries for Divisibility Rule of 737

  • 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.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.