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125 LearnersLast updated on February 12th, 2025
Divisibility Rule of 327
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 327.
What is the Divisibility Rule of 327?
The divisibility rule for 327 is a method by which we can find out if a number is divisible by 327 or not without using the division method. Check whether 65454 is divisible by 327 with the divisibility rule.
Step 1: Add the digits of the number. For 65454, the sum of the digits is 6 + 5 + 4 + 5 + 4 = 24.
Step 2: Check if the sum of the digits, 24, is divisible by 9 (since 327 is divisible by 9). Since 24 is divisible by 9, proceed to the next step.
Step 3: Check if the original number, 65454, is divisible by 327 through estimation or further breakdown. If the result from step 2 is divisible by 9, check divisibility by 3 and 109 (since 327 = 3 × 109). If 65454 passes these checks, it is divisible by 327.
Tips and Tricks for Divisibility Rule of 327
Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 327.
- Memorize key factors: Remember that 327 is divisible by 3, 9, and 109.
- Break down large numbers: Break down large numbers to simplify checking divisibility for each factor.
- Verify with smaller factors: If a number is divisible by 3 and 109, it is divisible by 327.
- Use estimation: For very large numbers, estimation can help in checking divisibility.
- 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 327
The divisibility rule of 327 helps us quickly check if a given number is divisible by 327, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not checking divisibility by all factors.
Always check divisibility by 3, 9, and 109 since 327 = 3 × 109.
Divisibility Rule of 327 Examples
Problem 1
Is 981 divisible by 327?
Yes, 981 is divisible by 327.
Explanation
To check if 981 is divisible by 327, follow these steps:
1) Divide the number by 327, 981 ÷ 327 = 3.
2) The division yields a whole number with no remainder, so 981 is divisible by 327.
Problem 2
Check the divisibility rule of 327 for 1308.
Yes, 1308 is divisible by 327.
Explanation
To check if 1308 is divisible by 327, follow these steps:
1) Divide the number by 327, 1308 ÷ 327 = 4.
2) The result is a whole number with no remainder, confirming that 1308 is divisible by 327.
Problem 3
Is -654 divisible by 327?
Yes, -654 is divisible by 327.
Explanation
To check if -654 is divisible by 327, remove the negative sign and proceed:
1) Divide 654 by 327, 654 ÷ 327 = 2.
2) The division gives a whole number with no remainder, indicating that -654 is divisible by 327.
Problem 4
Can 500 be divisible by 327 following the divisibility rule?
No, 500 isn't divisible by 327.
Explanation
To determine if 500 is divisible by 327, follow these steps:
1) Divide the number by 327, 500 ÷ 327 = 1.53.
2) The result is not a whole number, so 500 is not divisible by 327.
Problem 5
Check the divisibility rule of 327 for 1635.
Yes, 1635 is divisible by 327.
Explanation
To verify if 1635 is divisible by 327, perform these steps:
1) Divide the number by 327, 1635 ÷ 327 = 5.
2) The division results in a whole number, which means 1635 is divisible by 327.
FAQs on Divisibility Rule of 327
1.What is the divisibility rule for 327?
2.How many numbers are there between 1 and 1000 that are divisible by 327?
3.Is 65454 divisible by 327?
4.What if I get 0 after checking the divisibility?
5.Does the divisibility rule of 327 apply to all integers?
Important Glossaries for Divisibility Rule of 327
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.
- Factors: Numbers that divide another number exactly without leaving a remainder.
- Sum of digits: The total obtained by adding all the individual digits of a number.
- Estimation: Approximating a number to simplify calculations.
- Verification: The process of confirming the accuracy of a result, often by using a different method.
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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.
