Divisibility Rule of 733

The divisibility rule for 733 is a method by which we can find out if a number is divisible by 733 or not without using the division method.

Check whether 2199 is divisible by 733 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 2199, 9 is the last digit, multiply it by 2. 9 × 2 = 18

Step 2: Add the result from Step 1 to the remaining values but do not include the last digit. i.e., 219 + 18 = 237.

Step 3: Check if 237 is divisible by 733. If it is, then the original number is divisible by 733. If not, then it is not divisible.

Since 237 is not divisible by 733, 2199 is not divisible by 733.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 733.

Know the multiples of 733:

Memorize the multiples of 733 (733, 1466, 2199, 2932, etc.) to quickly check divisibility.

Use the negative numbers:

If the result we get after the addition is negative, we will avoid the symbol and consider it as 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 divisible by 733. For example, check if 4398 is divisible by 733 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Add the remaining digits excluding the last digit by 16, 439 + 16 = 455. Since 455 is not divisible by 733, 4398 is not divisible by 733.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 733 if the adjusted result is a multiple of 733.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 733 are 733, 1466, 2199, 2932, etc.
   
• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
   
• Addition: Addition is a process of finding the total or sum by combining two or more numbers.
   
• Verification: The process of using different methods, such as division, to confirm the accuracy of a result.