178 LearnersLast updated on May 26th, 2025
Divisibility Rule of 599
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 599.
What is the Divisibility Rule of 599?
The divisibility rule for 599 is a method by which we can find out if a number is divisible by 599 or not without using the division method. Check whether 1198 is divisible by 599 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 1198, 8 is the last digit. Multiply it by 2. 8 × 2 = 16
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 119−16 = 103.
Step 3: As it is shown that 103 is not a multiple of 599, therefore, the number is not divisible by 599. If the result from step 2 is a multiple of 599, then the number is divisible by 599.
Tips and Tricks for Divisibility Rule of 599
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 599.
- Know the multiples of 599: Memorize the multiples of 599 (599, 1198, 1797, 2396… etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 599, then the number is divisible by 599.
- 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 599. For example: Check if 3594 is divisible by 599 using the divisibility test. Multiply the last digit by 2, i.e., 4 × 2 = 8. Subtract the remaining digits excluding the last digit by 8, 359−8 = 351. Still, 351 is a large number, hence we will repeat the process again and multiply the last digit by 2, 1 × 2 = 2. Now subtracting 2 from the remaining numbers excluding the last digit, 35−2 = 33. As 33 is not a multiple of 599, 3594 is not divisible by 599.
- 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 599
The divisibility rule of 599 helps us to quickly check if the given number is divisible by 599, 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 by 2 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 599.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they 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 they have got a large number to result in after subtraction. The process should be repeated until we get the smallest number that is divisible by 599.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps, to avoid the error students should practice regularly.
Divisibility Rule of 599 Examples
Problem 1
Is 1797 divisible by 599?
Yes, 1797 is divisible by 599.
Explanation
To check the divisibility of 1797 by 599, follow these steps:
1) Multiply the last digit by 3, 7 × 3 = 21.
2) Subtract the result from the remaining digits, excluding the last digit, 179 – 21 = 158.
3) Check if 158 is a multiple of 599. Since 158 is not a multiple of 599, continue checking by dividing 1797 by 599 directly, which results in a whole number quotient of 3. Therefore, 1797 is divisible by 599.
Problem 2
Check the divisibility rule of 599 for 2995.
No, 2995 is not divisible by 599.
Explanation
To check the divisibility of 2995 by 599, follow these steps:
1) Multiply the last digit by 3, 5 × 3 = 15.
2) Subtract the result from the remaining digits, excluding the last digit, 299 – 15 = 284.
3) Check if 284 is a multiple of 599. Since 284 is not a multiple of 599, 2995 is not divisible by 599.
Problem 3
Is -1198 divisible by 599?
Yes, -1198 is divisible by 599.
Explanation
To check if -1198 is divisible by 599, remove the negative sign and apply the divisibility rule:
1) Multiply the last digit by 3, 8 × 3 = 24.
2) Subtract the result from the remaining digits, excluding the last digit, 119 – 24 = 95.
3) Check if 95 is a multiple of 599. Since 95 is not a multiple of 599, divide 1198 by 599 directly, which results in a whole number quotient of 2. Therefore, -1198 is divisible by 599.
Problem 4
Can 2396 be divisible by 599 following the divisibility rule?
No, 2396 isn't divisible by 599.
Explanation
To check if 2396 is divisible by 599, follow these steps:
1) Multiply the last digit by 3, 6 × 3 = 18.
2) Subtract the result from the remaining digits, excluding the last digit, 239 – 18 = 221.
3) Check if 221 is a multiple of 599. Since 221 is not a multiple of 599, 2396 is not divisible by 599.
Problem 5
Can 2396 be divisible by 599 following the divisibility rule?
No, 2396 isn't divisible by 599.
Explanation
To check if 2396 is divisible by 599, follow these steps:
1) Multiply the last digit by 3, 6 × 3 = 18.
2) Subtract the result from the remaining digits, excluding the last digit, 239 – 18 = 221.
3) Check if 221 is a multiple of 599. Since 221 is not a multiple of 599, 2396 is not divisible by 599.
Problem 6
Check the divisibility rule of 599 for 3594.
Yes, 3594 is divisible by 599
Explanation
To check the divisibility of 3594 by 599, follow these steps:
1) Multiply the last digit by 3, 4 × 3 = 12.
2) Subtract the result from the remaining digits, excluding the last digit, 359 – 12 = 347.
3) Check if 347 is a multiple of 599. Since 347 is not a multiple of 599, divide 3594 by 599 directly, which results in a whole number quotient of 6. Therefore, 3594 is divisible by 599.
FAQs on Divisibility Rule of 599
1.What is the divisibility rule for 599?
2.How many numbers are there between 1 and 2000 that are divisible by 599?
3.Is 1797 divisible by 599?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 599 apply to all the integers?
6.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 599?
7.What are some fun ways kids in Canada can practice Divisibility Rule of 599 with numbers?
8.What role do numbers and Divisibility Rule of 599 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Divisibility Rule of 599 skills?
Important Glossary for Divisibility Rule of 599
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not, without performing division.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 599 are 599, 1198, 1797, 2396, 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.
- Verification: The process of confirming that a calculation or result is correct, often done by using an alternative method such as direct 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
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