221 LearnersLast updated on May 26th, 2025
Divisibility Rule of 902
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 902.
What is the 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.
Tips and Tricks for Divisibility Rule of 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 902
The divisibility rule of 902 helps us quickly check if a given number is divisible by 902, but common mistakes like calculation errors lead to incorrect conclusions. Here, we will understand some common mistakes that can help you.
Mistake 1
Not following the correct steps.
Students should follow the correct steps which include multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 902.
Mistake 2
Including the last digit in subtraction.
Students should remember to exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they get a large number as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 902.
Mistake 4
Not considering the negative values.
Students ignore negative values, thinking divisibility rules don't apply to negative values. But the divisibility rule is applicable for negative values too. Students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them, to avoid this error students should practice regularly.
Divisibility Rule of 902 Examples
Problem 1
Is the number 1804 divisible by 902?
No, 1804 is not divisible by 902.
Explanation
To determine if 1804 is divisible by 902, you can use long division or check for a remainder.
1) Divide 1804 by 902, which results in approximately 2.
2) Since the division doesn't result in a whole number without a remainder, 1804 is not divisible by 902.
Problem 2
Check if 4510 is divisible by 902.
No, 4510 is not divisible by 902
Explanation
To verify if 4510 is divisible by 902, follow these steps:
1) Perform the division of 4510 by 902.
2) The division results in approximately 5.
3) As the result is not a whole number without a remainder, 4510 is not divisible by 902.
Problem 3
Is the number 9020 divisible by 902?
Yes, 9020 is divisible by 902.
Explanation
To check the divisibility of 9020 by 902, perform these steps:
1) Divide 9020 by 902.
2) The result is exactly 10, with no remainder.
3) Since the result is a whole number, 9020 is divisible by 902.
Problem 4
Can the number 271 be divisible by 902?
No, 271 is not divisible by 902.
Explanation
To determine if 271 is divisible by 902, use the following method:
1) Divide 271 by 902.
2) The result is less than 1, indicating that 902 is larger than 271.
3) Therefore, 271 is not divisible by 902.
Problem 5
Verify if 90200 is divisible by 902.
Yes, 90200 is divisible by 902.
Explanation
To confirm if 90200 is divisible by 902, proceed as follows:
1) Divide 90200 by 902.
2) The result is exactly 100, with no remainder.
3) As the division results in a whole number, 90200 is divisible by 902.
FAQs on Divisibility Rule of 902
1.What is the divisibility rule for 902?
2. How many numbers are there between 1 and 10000 that are divisible by 902?
3. Is 1804 divisible by 902?
4.What if I get 0 after subtracting?
5. Does the divisibility rule of 902 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 902?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 902 with numbers?
8.What role do numbers and Divisibility Rule of 902 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 902 skills?
Important Glossaries for Divisibility Rule of 902
- 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.
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About BrightChamps in Philippines
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.
