Divisibility Rule of 902

The divisibility rule for 902 is a method by which we can find out if a number is divisible by 902 or not without using the division method. Check whether 1804 is divisible by 902 with the divisibility rule.  
 
Step 1: Multiply the last digit of the number by 2, here in 1804, 4 is the last digit so multiply it by 2. 4 × 2 = 8.  

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 180–8 = 172.  

Step 3: As it is shown that 172 is not a multiple of 902, therefore, the number is not divisible by 902. If the result from step 2 is a multiple of 902, then the number is divisible by 902.  

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 902.

Know the multiples of 902:  

Memorize the multiples of 902 (902, 1804, 2706, 3608, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 902, then the number is divisible by 902.

Use the negative numbers:  

If the result we get after the subtraction is negative, disregard the negative sign and 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 divisible by 902.  
For example: Check if 5412 is divisible by 902 using the divisibility test.  
Multiply the last digit by 2, i.e., 2 × 2 = 4.  
Subtract the remaining digits excluding the last digit by 4, 541–4 = 537.  
Since 537 is not a multiple of 902, 5412 is not divisible by 902.

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 verify and also learn.  
 

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number without performing actual division.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 902 are 902, 1804, 2706, etc.

• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.

• Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.

• Verification: The process of confirming the validity of a result, often by cross-checking with another method such as traditional division.