Table Of Contents
120 LearnersLast updated on February 18th, 2025
Divisibility Rule of 937
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 937.
What is the Divisibility Rule of 937?
The divisibility rule for 937 is a method by which we can find out if a number is divisible by 937 or not without using the division method. Check whether 561,079 is divisible by 937 with the divisibility rule.
Step 1: Multiply the last digit of the number by 3, here in 561,079, 9 is the last digit, so multiply it by 3. 9 × 3 = 27
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 56107 - 27 = 56080.
Step 3: As it is shown that 56080 is not a multiple of 937, the number is not divisible by 937. If the result from step 2 is a multiple of 937, then the number is divisible by 937.
Tips and Tricks for Divisibility Rule of 937
Learning the divisibility rule will help students master division. Let’s learn a few tips and tricks for the divisibility rule of 937.
Know the multiples of 937:
Memorize the multiples of 937 (937, 1874, 2811, 3748, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 937, then the number is divisible by 937.
Use the negative numbers:
If the result we get after the subtraction is negative, we will ignore 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 937.
Example: Check if 1,873,946 is divisible by 937 using the divisibility test.
Multiply the last digit by 3, i.e., 6 × 3 = 18.
Subtract the remaining digits excluding the last digit by 18, 187394 - 18 = 187376.
Still, 187376 is a large number, hence we will repeat the process again and multiply the last digit by 3, i.e., 6 × 3 = 18.
Now subtracting 18 from the remaining numbers excluding the last digit, 18737 - 18 = 18719.
Since 18719 is not a multiple of 937, 1,873,946 is not divisible by 937.
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 937
The divisibility rule of 937 helps us to quickly check if the given number is divisible by 937, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve multiplying the last digit by 3 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 937.
Divisibility Rule of 937 Examples
Problem 1
Is 2811 divisible by 937?
Yes, 2811 is divisible by 937.
Explanation
To check if 2811 is divisible by 937, we can divide the number directly.
1) Divide 2811 by 937: 2811 ÷ 937 = 3.
2) The division yields an integer with no remainder, confirming 2811 is divisible by 937.
Problem 2
Check the divisibility rule of 937 for 5622.
Yes, 5622 is divisible by 937.
Explanation
To verify this, perform the division:
1) Divide 5622 by 937: 5622 ÷ 937 = 6.
2) The result is an integer without a remainder, so 5622 is divisible by 937.
Problem 3
Is -1874 divisible by 937?
Yes, -1874 is divisible by 937.
Explanation
For negative numbers, we check divisibility by ignoring the sign:
1) Divide the positive version of the number: 1874 ÷ 937 = 2.
2) The division results in an integer, showing -1874 is divisible by 937.
Problem 4
Can 1120 be divisible by 937 following the divisibility rule?
No, 1120 is not divisible by 937.
Explanation
Confirm by dividing
1) Divide 1120 by 937: 1120 ÷ 937 ≈ 1.195.
2) The result is not an integer, indicating 1120 is not divisible by 937.
Problem 5
Check the divisibility rule of 937 for 3748.
Yes, 3748 is divisible by 937.
Explanation
Use division to confirm:
1) Divide 3748 by 937: 3748 ÷ 937 = 4.
2) The division gives an integer with no remainder, thus 3748 is divisible by 937.
FAQs on Divisibility Rule of 937
1. What is the divisibility rule for 937?
2. How many numbers are there between 1 and 10,000 that are divisible by 937?
3.Is 3748 divisible by 937?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 937 apply to all integers?
Important Glossaries for Divisibility Rule of 937
- 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 2 if the number ends with an even number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 937 are 937, 1874, 2811, 3748, etc.
- Integers: Integers are numbers that include all 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 using the division method to confirm the results obtained using the divisibility rule.
Explore More numbers
Previous to Divisibility Rule of 937
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.
