4505 LearnersLast updated on May 26th, 2025
Divisibility Rule of 372
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 372.
What is the Divisibility Rule of 372?
The divisibility rule for 372 is a method by which we can find out if a number is divisible by 372 or not without using the division method. Check whether 744 is divisible by 372 using the divisibility rule.
Step 1: Break down 372 into its prime factors: 372 = 2 × 2 × 3 × 31.
Step 2: Check if the number (744 in this case) is divisible by each of these factors.
1. For 2: 744 is even, so it is divisible by 2.
2. For 3: Sum the digits of 744 (7 + 4 + 4 = 15), which is divisible by 3.
3. For 31: Perform direct division or check using a calculator. 744 ÷ 31 = 24, which is an integer.
Since 744 is divisible by each of the prime factors of 372, it is divisible by 372.
Tips and Tricks for Divisibility Rule of 372
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 372.
Know the prime factorization:
Understand the prime factors of 372 (2, 3, and 31) to quickly check the divisibility. If a number is divisible by all these factors, it is divisible by 372.
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.
Repeat the process for large numbers:
For larger numbers, break them into smaller parts, and check divisibility with prime factors.
Common Mistakes and How to Avoid Them in Divisibility Rule of 372
The divisibility rule of 372 helps us quickly check if a given number is divisible by 372, but common mistakes like calculation errors lead to incorrect conclusions. Here, we will understand some common mistakes and how to avoid them.
Mistake 1
Forgetting to check all prime factors.
Always ensure that the number is divisible by 2, 3, and 31 to confirm divisibility by 372.
Mistake 2
Incorrect summation of digits for divisibility by 3.
Carefully add the digits of the number and verify if the sum is divisible by 3.
Mistake 3
Not using direct division for large prime factors.
Use a calculator to check divisibility by large prime factors like 31.
Mistake 4
Confusing the steps.
Practice regularly and follow each step systematically.
Mistake 5
Not repeating the process when the result is unclear.
If uncertain, repeat the division process or use estimation for clarity.
Divisibility Rule of 372 Examples
Problem 1
Is 1116 divisible by 372?
Yes, 1116 is divisible by 372.
Explanation
To check the divisibility of 1116 by 372, we use direct division.
1116 divided by 372 gives exactly 3, with no remainder, so 1116 is divisible by 372.
Problem 2
Check the divisibility rule of 372 for 2232.
Yes, 2232 is divisible by 372.
Explanation
To check if 2232 is divisible by 372, perform direct division. 2232 divided by 372 equals 6, with no remainder.
Therefore, 2232 is divisible by 372.
Problem 3
Is -744 divisible by 372?
Yes, -744 is divisible by 372.
Explanation
To check if -744 is divisible by 372, consider the absolute value.
744 divided by 372 equals 2, with no remainder.
Thus, -744 is divisible by 372.
Problem 4
Can 500 be divisible by 372 following the divisibility rule?
No, 500 isn't divisible by 372.
Explanation
To check if 500 is divisible by 372, perform direct division.
500 divided by 372 equals approximately 1.344, which is not an integer.
Hence, 500 is not divisible by 372.
Problem 5
Check the divisibility rule of 372 for 1488.
Yes, 1488 is divisible by 372.
Explanation
To check the divisibility of 1488 by 372, divide directly.
1488 divided by 372 equals 4, with no remainder.
Therefore, 1488 is divisible by 372.
FAQs on Divisibility Rule of 372
1.What is the divisibility rule for 372?
2.How many numbers are there between 1 and 1000 that are divisible by 372?
3.Is 744 divisible by 372?
4.What if a number is divisible by 2 and 3 but not 31?
5.Does the divisibility rule of 372 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 372?
7.What are some fun ways kids in India can practice Divisibility Rule of 372 with numbers?
8.What role do numbers and Divisibility Rule of 372 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 372 skills?
Important Glossaries for Divisibility Rule of 372
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
- Prime factors: The prime numbers that multiply together to give the original number. For 372, these are 2, 3, and 31.
- Integer: A whole number that can be positive, negative, or zero.
- Even number: A number that is divisible by 2.
- Sum of digits: The total obtained by adding all the digits of a number, used to check divisibility by 3.
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About BrightChamps inIndia
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.
