203 LearnersLast updated on May 26th, 2025
Divisibility Rule of 337
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 337.
What is the Divisibility Rule of 337?
The divisibility rule for 337 is a method by which we can find out if a number is divisible by 337 or not without using the division method. Let's explore whether 1011 is divisible by 337 using this rule.
Step 1: Multiply the last digit of the number by a specific constant. Here, in 1011, the last digit is 1. Multiply it by 112 (a constant derived for divisibility by 337).
1 × 112 = 112
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 101 - 112 = -11.
Step 3: Since -11 is not a multiple of 337, 1011 is not divisible by 337. If the result from Step 2 were a multiple of 337, then the number would be divisible by 337.
Tips and Tricks for Divisibility Rule of 337
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 337.
- Know the multiples of 337: Memorize the multiples of 337 (337, 674, 1011, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 337, then the number is divisible by 337.
- Use negative numbers: If the result we get after subtraction is negative, consider its absolute value for checking divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number to determine divisibility by 337.
For example: Check if 101123 is divisible by 337 using the divisibility test.
Multiply the last digit by 112, i.e., 3 × 112 = 336.
Subtract the remaining digits excluding the last digit by 336, 10112 - 336 = 9786.
Since 9786 is still large, repeat the process: Multiply the last digit by 112, 6 × 112 = 672.
Now subtract 672 from the remaining numbers excluding the last digit, 978 - 672 = 306.
Since 306 is not a multiple of 337, 101123 is not divisible by 337.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 337
The divisibility rule of 337 helps us to quickly check if a given number is divisible by 337, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, multiplying the last digit with the constant and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 337.
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 a large number as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 337.
Mistake 4
Not considering the negative values.
Students might overlook negative values, thinking divisibility rules don't apply to them. However, the divisibility rule is applicable for negative values too. So students should consider the absolute value while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps; to avoid this error, students should practice regularly.
Divisibility Rule of 337 Examples
Problem 1
Is 674 divisible by 337?
Yes, 674 is divisible by 337.
Explanation
To check if 674 is divisible by 337:
1) Divide 674 by 337.
2) The division results in an integer, 2, without a remainder.
3) Therefore, 674 is divisible by 337.
Problem 2
Can 1011 be divisible by 337 according to the divisibility rule?
No, 1011 isn't divisible by 337.
Explanation
To check if 1011 is divisible by 337:
1) Divide 1011 by 337.
2) The division results in a quotient of approximately 2.999, which is not an integer.
3) Therefore, 1011 is not divisible by 337.
Problem 3
Is -674 divisible by 337?
Yes, -674 is divisible by 337.
Explanation
To check if -674 is divisible by 337, we follow these steps:
1) Ignore the negative sign and divide 674 by 337.
2) The division results in an integer, 2, without a remainder.
3) Therefore, -674 is divisible by 337.
Problem 4
Check the divisibility rule of 337 for 2022.
No, 2022 is not divisible by 337.
Explanation
To check divisibility:
1) Divide 2022 by 337.
2) The division results in a quotient of approximately 5.998, which is not an integer.
3) Therefore, 2022 is not divisible by 337.
Problem 5
Is 1348 divisible by 337?
Yes, 1348 is divisible by 337.
Explanation
To verify if 1348 is divisible by 337:
1) Divide 1348 by 337.
2) The division results in an integer, 4, without a remainder.
3) Therefore, 1348 is divisible by 337.
FAQs on Divisibility Rule of 337
1.What is the divisibility rule for 337?
2.How many numbers are there between 1 and 1000 that are divisible by 337?
3.Is 674 divisible by 337?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 337 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 337?
7.What are some fun ways kids in India can practice Divisibility Rule of 337 with numbers?
8.What role do numbers and Divisibility Rule of 337 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 337 skills?
Important Glossaries for Divisibility Rule of 337
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 337 are 337, 674, 1011, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Constant: A specific number used as a multiplier in the divisibility rule for checking divisibility.
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About BrightChamps in India
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.
