210 LearnersLast updated on May 26th, 2025
Divisibility Rule of 371
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 371.
What is the Divisibility Rule of 371?
The divisibility rule for 371 is a method by which we can find out if a number is divisible by 371 or not without using the division method. Check whether 742 is divisible by 371 with the divisibility rule.
Step 1: Identify the number, here in 742, and compare it to 371.
Step 2: Divide the number by 371 to see if it results in a whole number. 742 ÷ 371 = 2.
Step 3: As 742 ÷ 371 equals 2, which is a whole number, 742 is divisible by 371. If the result from step 2 isn't a whole number, then the number isn't divisible by 371.
Tips and Tricks for Divisibility Rule of 371
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 371.
- Know the multiples of 371: Memorize the multiples of 371 (371, 742, 1113, 1484... etc.) to quickly check the divisibility. If the division results in a whole number, then the number is divisible by 371.
- Use estimation: If the number is close to a multiple of 371, estimate to check divisibility without full division.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a manageable number to check if it is divisible by 371.
- 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 371
The divisibility rule of 371 helps us to quickly check if the given number is divisible by 371, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by accurately dividing the number by 371 and checking whether it results in a whole number.
Mistake 2
Miscalculating the division.
Ensure precise division to avoid errors in determining divisibility.
Mistake 3
Not repeating the process when the result is unclear.
If uncertain, repeat the division process or use estimation for clarity.
Mistake 4
Ignoring the whole number check.
Always ensure that the division results in a whole number to confirm 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 371 Examples
Problem 1
Is 742 divisible by 371?
Yes, 742 is divisible by 371.
Explanation
To determine if 742 is divisible by 371, use the divisibility rule:
1) Multiply the last digit by 2, 2 × 2 = 4.
2) Subtract the result from the remaining digits, excluding the last digit, 74 – 4 = 70.
3) Check if 70 is a multiple of 371. No, but since 742 is exactly 2 times 371, it is divisible.
Problem 2
Check the divisibility rule of 371 for 1113.
No, 1113 is not divisible by 371.
Explanation
To check divisibility for 1113, follow these steps:
1) Multiply the last digit by 2, 3 × 2 = 6.
2) Subtract the result from the remaining digits, excluding the last digit, 111 – 6 = 105.
3) Check if 105 is a multiple of 371. No, 105 is not a multiple of 371.
Problem 3
Is -742 divisible by 371?
Yes, -742 is divisible by 371.
Explanation
Check the divisibility of -742 by removing the negative sign:
1) Multiply the last digit by 2, 2 × 2 = 4.
2) Subtract the result from the remaining digits, excluding the last digit, 74 – 4 = 70.
3) Check if 70 is a multiple of 371. No, but since 742 is exactly 2 times 371, it is divisible. Thus, -742 is also divisible.
Problem 4
Can 371 be divisible by 371 following the divisibility rule?
Yes, 371 is divisible by 371.
Explanation
Any number is divisible by itself, including 371.
Problem 5
Check the divisibility rule of 371 for 1484.
Yes, 1484 is divisible by 371.
Explanation
To check divisibility for 1484:
1) Multiply the last digit by 2, 4 × 2 = 8.
2) Subtract the result from the remaining digits, excluding the last digit, 148 – 8 = 140.
3) Check if 140 is a multiple of 371. No, but since 1484 is exactly 4 times 371, it is divisible.
FAQs on Divisibility Rule of 371
1.What is the divisibility rule for 371?
2.How many numbers are there between 1 and 1000 that are divisible by 371?
3.Is 1113 divisible by 371?
4.What if I get 0 remainder after division?
5.Does the divisibility rule of 371 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 371?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 371 with numbers?
8.What role do numbers and Divisibility Rule of 371 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 371 skills?
Important Glossaries for Divisibility Rule of 371
- 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 371 are 371, 742, 1113...
- Whole number: A number without fractions; an integer.
- Estimation: A rough calculation or educated guess to reach a conclusion.
- Remainder: The amount left over after division when one divisor does not exactly divide another.
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About BrightChamps in Qatar
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.
