Divisibility Rule of 738

The divisibility rule for 738 is a method by which we can find out if a number is divisible by 738 or not without using the division method.

Check whether 1476 is divisible by 738 with the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 6 (as 738 = 2 × 3 × 123). For 1476, check divisibility by 2, 3, and 6:

- Divisibility by 2: The last digit is 6, which is even.

- Divisibility by 3: The sum of the digits (1+4+7+6=18) is divisible by 3.

- Divisibility by 6: Since the number is divisible by both 2 and 3, it is divisible by 6.

Step 2: Check if the number is divisible by 123.

- Break 123 into 1, 2, and 3. Ensure the number follows the rules of these components.

After confirming divisibility by 2, 3, and 6, and checking additional factors if necessary, 1476 is divisible by 738.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 738.

• Know the multiples of 738: Memorize the multiples of 738 (738, 1476, 2214, 2952…etc.) to quickly check divisibility. If the division process yields a multiple of 738, the number is divisible by 738.
   
• Use the negative numbers: If the result you get from any operation is negative, consider it positive for checking the divisibility of a number.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is easier to handle or identify as divisible by 738.
   
• 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 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 738 are 738, 1476, 2214, 2952, etc.
   
• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.
   
• Verification: The process of confirming a calculation or result, often through additional methods like division.