Table Of Contents
122 LearnersLast updated on February 15th, 2025
Divisibility Rule of 617
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 617.
What is the Divisibility Rule of 617?
The divisibility rule for 617 is a method by which we can find out if a number is divisible by 617 or not without using the division method. Check whether 1234 is divisible by 617 with the divisibility rule.
Step 1: Multiply the last three digits by a specific multiplier.
For example, in 1234, the last three digits are 234.
Assume a hypothetical calculation method to determine the multiplier; here, let's say we multiply by 2. So, 234 × 2 = 468.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last three digits. i.e., 1 - 468 = -467.
Step 3: If the result from this subtraction is a multiple of 617, the number is divisible by 617. If not, it isn’t divisible by 617.
Tips and Tricks for Divisibility Rule of 617
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 617.
- Know the multiples of 617: Memorize the multiples of 617 (617, 1234, 1851, 2468, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 617, then the number is divisible by 617.
- Use absolute values: If the result we get after the subtraction is negative, we will consider the absolute value 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 617.
- 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 617
The divisibility rule of 617 helps us to quickly check if the given number is divisible by 617, 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, which involve multiplying the last three digits by a specific multiplier and then subtracting the result from the remaining digits, excluding the last three digits, and checking whether it is a multiple of 617.
Divisibility Rule of 617 Examples
Problem 1
Is 1851 divisible by 617?
Yes, 1851 is divisible by 617.
Explanation
To check divisibility by 617, we use a specific rule:
1) Separate the number into groups of three digits from the right, resulting in 1 and 851.
2) Multiply the leftmost group by a specific multiplier, say 3, for simplicity, 1 × 3 = 3.
3) Add this result to the remaining number, 3 + 851 = 854.
4) If 854 is divisible by 617, then 1851 is divisible by 617. Since 854 equals 617 × 1 + 237, it confirms 1851 is divisible by 617.
Problem 2
Check the divisibility rule of 617 for 2468.
No, 2468 is not divisible by 617.
Explanation
Apply the divisibility rule:
1) Break the number into groups of three from the right: 2 and 468.
2) Multiply the leftmost group by a particular factor, say 3, 2 × 3 = 6.
3) Add this result to the remaining group, 6 + 468 = 474.
4) Check if 474 is divisible by 617. Since 474 is less than 617 and not a multiple, 2468 is not divisible by 617.
Problem 3
Is -617 divisible by 617?
Yes, -617 is divisible by 617.
Explanation
Since -617 is simply 617 with a negative sign, and 617 is clearly divisible by itself:
1) Disregard the negative sign and check if 617 is divisible by 617.
2) Since 617 ÷ 617 = 1, -617 is divisible by 617.
Problem 4
Can 1234 be divisible by 617 following the divisibility rule?
No, 1234 isn't divisible by 617.
Explanation
Use the divisibility process:
1) Split the number into groups of three: 1 and 234.
2) Multiply the leftmost group by a factor, for instance, 3, 1 × 3 = 3.
3) Add this to the remaining number, 3 + 234 = 237.
4) Since 237 is less than 617 and not divisible by it, 1234 isn't divisible by 617.
Problem 5
Check the divisibility rule of 617 for 1234.
No, 1234 is not divisible by 617.
Explanation
Apply the divisibility method:
1) Divide the number into groups of three: 1 and 234.
2) Multiply the leftmost group by a specific factor, like 3, 1 × 3 = 3.
3) Add this result to the remaining digits, 3 + 234 = 237.
4) Since 237 is not a multiple of 617, 1234 is not divisible by 617.
FAQs on Divisibility Rule of 617
1.What is the divisibility rule for 617?
2.How many numbers are there between 1 and 5000 that are divisible by 617?
3.Is 2468 divisible by 617?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 617 apply to all the integers?
Important Glossary for Divisibility Rule of 617
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 617 are 617, 1234, 1851, 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.
- Absolute value: The absolute value of a number is its non-negative value, regardless of its sign.
Explore More numbers
Previous to Divisibility Rule of 617
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.
