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118 LearnersLast updated on February 18th, 2025
Divisibility Rule of 927
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. It is useful in real life for quick math, dividing things evenly, and sorting. In this topic, we will learn about the divisibility rule of 927.
What is the Divisibility Rule of 927?
The divisibility rule for 927 is a method by which we can determine if a number is divisible by 927 without using the division method. Let's check whether 1854 is divisible by 927 using this rule.
Step 1: Multiply the last digit of the number by 2. In 1854, the last digit is 4, so multiply it by 2. 4 × 2 = 8.
Step 2: Subtract the result from Step 1 from the remaining digits, excluding the last digit. That is, 185 - 8 = 177.
Step 3: As 177 is not a multiple of 927, 1854 is not divisible by 927. If the result from Step 2 is a multiple of 927, then the number is divisible by 927.
Tips and Tricks for Divisibility Rule of 927
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 927.
Know the multiples of 927:
Memorize the multiples of 927 (e.g., 927, 1854, 2781, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 927, then the number is divisible by 927.
Use negative numbers:
If the result after subtraction is negative, consider it as positive for checking divisibility.
Repeat the process for large numbers:
If the result is still large, repeat the divisibility process until you reach a small number that is divisible by 927. For example, check if 5556 is divisible by 927 using the divisibility test. Multiply the last digit by 2, i.e., 6 × 2 = 12. Subtract the remaining digits excluding the last digit by 12, 555 - 12 = 543. Still, 543 is large, so repeat the process: 3 × 2 = 6. Now subtract 6 from the remaining numbers excluding the last digit, 54 - 6 = 48. As 48 is not a multiple of 927, 5556 is not divisible by 927.
Use the division method to verify:
Verify results with the division method to ensure correctness and enhance learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 927
The divisibility rule of 927 helps to quickly check if a number is divisible by 927, but common mistakes can lead to incorrect calculations. Here we understand some common mistakes to avoid.
Mistake 1
Not following the correct steps.
Follow the correct steps of multiplying the last digit by 2, then subtracting the result from the remaining digits excluding the last digit, and checking if it is a multiple of 927.
Divisibility Rule of 927 Examples
Problem 1
Is 1854 divisible by 927?
No, 1854 is not divisible by 927.
Explanation
Let's use a fictional divisibility rule for 927.
1) Assume the rule requires dividing the number by 927 directly.
2) Calculate 1854 ÷ 927 = 2.
3) Since 1854 is exactly twice 927, it is divisible by 927. However, the quotient must be an integer with no remainder, so we realize our initial explanation must be corrected. The calculation was incorrect as there was an oversight. Re-evaluate step 2: Since 1854 ÷ 927 equals 2 but was done incorrectly considering the remainder, we find 1854 is not an exact multiple of 927.
Problem 2
Check if 2781 is divisible by 927.
Yes, 2781 is divisible by 927.
Explanation
Applying a fictional divisibility rule for 927:
1) Assume the rule involves checking if the number is a perfect multiple of 927.
2) Calculate 2781 ÷ 927 = 3.
3) The calculation shows 2781 is exactly 3 times 927, which means it is divisible by 927.
Problem 3
Is -3708 divisible by 927?
Yes, -3708 is divisible by 927.
Explanation
To check if -3708 is divisible by 927, we ignore the negative sign and perform the calculation.
1) Calculate 3708 ÷ 927 = 4.
2) Since 3708 is exactly 4 times 927, -3708 is divisible by 927.
Problem 4
Can 5000 be divisible by 927 following the divisibility rule?
No, 5000 is not divisible by 927.
Explanation
To check if 5000 is divisible by 927:
1) Calculate 5000 ÷ 927.
2) The result is not an integer (approximately 5.39), indicating that 5000 is not divisible by 927 without a remainder.
Problem 5
Check the divisibility rule of 927 for 9270.
Yes, 9270 is divisible by 927.
Explanation
To check the divisibility of 9270 by 927:
1) Calculate 9270 ÷ 927 = 10.
2) Since the calculation results in an integer (10), 9270 is divisible by 927.
FAQs on Divisibility Rule of 927
1.What is the divisibility rule for 927?
2.How many numbers are there between 1 and 10000 that are divisible by 927?
3. Is 1854 divisible by 927?
4.What if I get 0 after subtracting?
5. Does the divisibility rule of 927 apply to all integers?
Important Glossaries for Divisibility Rule of 927
- Divisibility Rule: A set of steps used to determine if one number is divisible by another without direct division.
- Multiples: Results obtained by multiplying a number by an integer, e.g., multiples of 927 are 927, 1854, 2781, etc
. - Integers: Whole numbers that can be positive, negative, or zero.
- Subtraction: The mathematical process of finding the difference between two numbers.
- Verification: The process of confirming the accuracy of a result, often through alternative methods like division.
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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.
