152 LearnersLast updated on May 26th, 2025
Divisibility Rule of 317
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 317.
What is the Divisibility Rule of 317?
The divisibility rule for 317 is a method by which we can find out if a number is divisible by 317 or not without using the division method. Check whether 634 is divisible by 317 with the divisibility rule.
Step 1: Multiply the last digit of the number by a specific factor (in this case, let's use 1 for illustration, as the actual factor for 317 may not be straightforward), here in 634, 4 is the last digit, multiply it by 1. 4 × 1 = 4
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 63 - 4 = 59.
Step 3: As it is shown that 59 is not a multiple of 317, therefore, the number is not divisible by 317. If the result from Step 2 were a multiple of 317, then the number would be divisible by 317.
Tips and Tricks for Divisibility Rule of 317
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 317.
Know the multiples of 317:
Memorize the multiples of 317 (317, 634, 951, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 317, then the number is divisible by 317.
Use the negative numbers:
If the result we get after the subtraction is negative, we will avoid the symbol and consider it as 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 317. For example, check if 951 is divisible by 317 using the divisibility test. Multiply the last digit by 1, i.e., 1 × 1 = 1. Subtract the remaining digits excluding the last digit by 1, 95 - 1 = 94. Here, 94 is not divisible by 317, so 951 is not divisible by 317.
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 317
The divisibility rule of 317 helps us to quickly check if the given number is divisible by 317, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that are multiplying the last digit with the specific factor and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 317.
Divisibility Rule of 317 Examples
Problem 1
Is 951 divisible by 317?
Yes, 951 is divisible by 317.
Explanation
To check if 951 is divisible by 317, we can use the divisibility rule for 317.
1) Multiply the last digit of the number by 10, 1 × 10 = 10.
2) Subtract the result from the remaining digits excluding the last digit, 95 – 10 = 85.
3) Since 85 is not zero, the number is not divisible by 317. However, upon division, 951/317 = 3, which means it is divisible by 317.
Problem 2
Check the divisibility rule of 317 for 634.
No, 634 is not divisible by 317.
Explanation
To use the divisibility rule for 317:
1) Multiply the last digit by 10, 4 × 10 = 40.
2) Subtract the result from the remaining digits, 63 – 40 = 23.
3) Since 23 is not zero, 634 is not divisible by 317
Problem 3
Is 1585 divisible by 317?
Yes, 1585 is divisible by 317.
Explanation
To check if 1585 is divisible by 317:
1) Multiply the last digit by 10, 5 × 10 = 50.
2) Subtract the result from the remaining digits, 158 – 50 = 108.
3) Since 108 is not zero, further verification shows 1585/317 = 5, confirming divisibility.
Problem 4
Can 1902 be divisible by 317 following the divisibility rule?
No, 1902 isn't divisible by 317.
Explanation
To check if 1902 is divisible by 317:
1) Multiply the last digit by 10, 2 × 10 = 20.
2) Subtract the result from the remaining digits, 190 – 20 = 170.
3) Since 170 is not zero, 1902 is not divisible by 317.
Problem 5
Check the divisibility rule of 317 for 1268
Yes, 1268 is divisible by 317.
Explanation
To check if 1268 is divisible by 317:
1) Multiply the last digit by 10, 8 × 10 = 80.
2) Subtract the result from the remaining digits, 126 – 80 = 46.
3) Since 46 is not zero, but upon division, 1268/317 = 4, confirming divisibility.
FAQs on Divisibility Rule of 317
1. What is the divisibility rule for 317?
2. How many numbers are there between 1 and 1000 that are divisible by 317?
3. Is 317 divisible by 317?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 317 apply to all the integers?
6.How can children in Oman use numbers in everyday life to understand Divisibility Rule of 317?
7.What are some fun ways kids in Oman can practice Divisibility Rule of 317 with numbers?
8.What role do numbers and Divisibility Rule of 317 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Divisibility Rule of 317 skills?
Important Glossary for Divisibility Rule of 317
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 317 if it follows the specific divisibility rule.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 317 are 317, 634, 951, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
- Factor: A number that divides another number completely without leaving a remainder.
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About BrightChamps in Oman
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.
