188 LearnersLast updated on May 26th, 2025
Divisibility Rule of 717
The divisibility rule is a way to determine if a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 717.
What is the Divisibility Rule of 717?
Step 1: Multiply the last digit of the number by 2. Here in 7170, 0 is the last digit, so multiply it by 2. 0 × 2 = 0.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 717–0 = 717.
Step 3: As 717 is a multiple of 717, the number is divisible by 717. If the result from step 2 isn't a multiple of 717, then the number isn't divisible by 717.
Tips and Tricks for Divisibility Rule of 717
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 717.
Know the multiples of 717:
Memorize the multiples of 717 (717, 1434, 2151, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 717, then the number is divisible by 717.
Use negative numbers:
If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive for checking divisibility.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 717.
For example, check if 14343 is divisible by 717 using the divisibility test. Multiply the last digit by 2, i.e., 3 × 2 = 6. Subtract the remaining digits excluding the last digit by 6, 1434–6 = 1428. Repeat the process: 8 × 2 = 16, 142–16 = 126. As 126 is not a multiple of 717, 14343 is not divisible by 717.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 717
The divisibility rule of 717 helps us quickly check if the given number is divisible by 717, but common mistakes like calculation errors lead to incorrect results. Here we understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are 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 717.
Mistake 2
Including the last digit in subtraction.
Students should 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 obtaining a large result after subtraction. The process should be repeated until reaching the smallest number that is divisible by 717.
Mistake 4
Not considering the negative values.
Students should consider negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps
Students often confuse or forget the steps. To avoid errors, students should practice regularly.
Divisibility Rule of 717 Examples
Problem 1
Is 1434 divisible by 717?
Yes, 1434 is divisible by 717.
Explanation
To check if 1434 is divisible by 717, use the divisibility rule:
1) Divide 1434 by 717.
2) If the result is an integer, the number is divisible.
3) 1434 ÷ 717 = 2, which is an integer, so 1434 is divisible by 717.
Problem 2
Check the divisibility rule of 717 for 2151.
No, 2151 is not divisible by 717.
Explanation
For checking the divisibility rule of 717 for 2151,
1) Divide 2151 by 717.
2) If the result is not an integer, the number is not divisible.
3) 2151 ÷ 717 ≈ 3.001, which is not an integer, so 2151 is not divisible by 717.
Problem 3
Is 717 divisible by 717?
Yes, 717 is divisible by 717.
Explanation
To check if 717 is divisible by 717:
1) Remove the negative sign and divide the absolute value by 717.
2) 717 becomes 717, and 717 ÷ 717 = 1, which is an integer.
3) Therefore, 717 is divisible by 717.
Problem 4
Can 500 be divisible by 717 following the divisibility rule?
No, 500 isn't divisible by 717.
Explanation
To check if 500 is divisible by 717, follow the steps:
1) Divide 500 by 717.
2) If the result is not an integer, the number is not divisible.
3) 500 ÷ 717 ≈ 0.697, which is not an integer, so 500 is not divisible by 717.
Problem 5
Check the divisibility rule of 717 for 2151.
No, 2151 is not divisible by 717.
Explanation
To check the divisibility rule of 717 for 2151, follow the steps:
1) Divide 2151 by 717.
2) If the result is not an integer, the number is not divisible.
3) 2151 ÷ 717 ≈ 3.001, which is not an integer, so 2151 is not divisible by 717.
FAQs on Divisibility Rule of 717
1.What is the divisibility rule for 717?
2.How many numbers are there between 1 and 10000 that are divisible by 717?
3.Is 2151 divisible by 717?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 717 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 717?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 717 with numbers?
8.What role do numbers and Divisibility Rule of 717 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 717 skills?
Important Glossary for Divisibility Rule of 717
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 717 are 717, 1434, 2151, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Verify: To confirm the accuracy of a result by using another method, such as the division method.
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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.
