146 LearnersLast updated on May 26th, 2025
Divisibility Rule of 373
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 373.
What is the Divisibility Rule of 373?
The divisibility rule for 373 is a method by which we can find out if a number is divisible by 373 or not without using the division method. Check whether 112,019 is divisible by 373 with the divisibility rule.
Step 1: Multiply the last digit of the number by 11, here in 112,019, 9 is the last digit. Multiply it by 11. 9 × 11 = 99.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 11201–99 = 11102.
Step 3: Repeat the process of Step 1 and Step 2. Multiply the last digit of 11102 by 11, i.e., 2 × 11 = 22.
Step 4: Subtract 22 from the remaining numbers excluding the last digit, 1110–22 = 1088.
Step 5: Repeat the process again. Multiply the last digit of 1088 by 11, i.e., 8 × 11 = 88.
Step 6: Subtract 88 from the remaining numbers excluding the last digit, 108–88 = 20.
Step 7: Since 20 is not a multiple of 373, 112,019 is not divisible by 373. If the result from these steps is a multiple of 373, then the number is divisible by 373.
Tips and Tricks for Divisibility Rule of 373
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 373.
- Know the multiples of 373: Memorize the multiples of 373 (373, 746, 1119, ...etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 373, then the number is divisible by 373.
- 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 373 or determine it is not divisible.
- 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 373
The divisibility rule of 373 helps us to quickly check if the given number is divisible by 373, but common mistakes like calculation errors can 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, multiplying the last digit with 11 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 373.
Divisibility Rule of 373 Examples
Problem 1
Is 1119 divisible by 373?
Yes, 1119 is divisible by 373.
Explanation
To determine if 1119 is divisible by 373, we can check by dividing.
1) Divide 1119 by 373.
2) 1119 ÷ 373 = 3 exactly with no remainder.
Therefore, 1119 is divisible by 373.
Problem 2
Check the divisibility rule of 373 for 1492.
No, 1492 is not divisible by 373.
Explanation
To check if 1492 is divisible by 373:
1) Divide 1492 by 373.
2) 1492 ÷ 373 = 4 with a remainder of 0.
Thus, 1492 is not divisible by 373.
Problem 3
Is -1865 divisible by 373?
Yes, -1865 is divisible by 373.
Explanation
To see if -1865 is divisible by 373:
1) Remove the negative sign and divide 1865 by 373.
2) 1865 ÷ 373 = 5 exactly with no remainder.
Therefore, -1865 is divisible by 373.
Problem 4
Can 747 be divisible by 373 following the divisibility rule?
No, 747 is not divisible by 373.
Explanation
To determine if 747 is divisible by 373:
1) Divide 747 by 373.
2) 747 ÷ 373 = 2 with a remainder, indicating it's not divisible.
Thus, 747 is not divisible by 373.
Problem 5
Check the divisibility rule of 373 for 2238.
Yes, 2238 is divisible by 373.
Explanation
To verify if 2238 is divisible by 373:
1) Divide 2238 by 373.
2) 2238 ÷ 373 = 6 exactly, with no remainder.
Thus, 2238 is divisible by 373.
FAQs on Divisibility Rule of 373
1.What is the divisibility rule for 373?
2.How many numbers are there between 1 and 1000 that are divisible by 373?
3.Is 373 divisible by 373?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 373 apply to all the integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 373?
7.What are some fun ways kids in United States can practice Divisibility Rule of 373 with numbers?
8.What role do numbers and Divisibility Rule of 373 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 373 skills?
Important Glossaries for Divisibility Rule of 373
- 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 373 are 373, 746, 1119, ...
- 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: Verification involves checking the accuracy of a calculation or process, such as confirming divisibility using another method like 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
: She loves to read number jokes and games.
