Divisibility Rule of 730

The divisibility rule for 730 is a method by which we can find out if a number is divisible by 730 or not without using the division method. Check whether 1460 is divisible by 730 with the divisibility rule.  

Step 1: Check if the number ends in a zero. Here, 1460 ends in a zero, so it passes this part of the test.

Step 2: Divide the remaining digits by 73. If the result is an integer, then the original number is divisible by 730. In this case, 146 ÷ 73 = 2, which is an integer.

Step 3: As 1460 passes the test, the number is divisible by 730. If the result is not an integer, then the number isn't divisible by 730.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 730.

Know the multiples of 730:  

Memorize the multiples of 730 (730, 1460, 2190, 2920…etc.) to quickly check divisibility. If the result from the division is an integer, then the number is divisible by 730.

Check ending in zero:  

If the number ends in zero, proceed to divide the remaining digits by 73.

Repeat the process for large numbers:  

Students should keep repeating the divisibility process until they reach a small number that is divisible by 73.  

For example: Check if 4380 is divisible by 730 using the divisibility test.  

Check if 4380 ends in a zero, which it does.  

Divide 438 by 73, which results in 6.  

As 6 is an integer, 4380 is divisible by 730.

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 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 730 if it ends with a zero and the remaining digits form a number divisible by 73.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 730 are 730, 1460, 2190, 2920, etc.
   
• Integer: An integer is a whole number that can be positive, negative, or zero.
   
• Division: Division is the process of splitting a number into equal parts.
   
• Remainder: The amount left over after division when a number does not divide evenly.