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117 LearnersLast updated on February 12th, 2025
Divisibility Rule of 366
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 366.
What is the Divisibility Rule of 366?
The divisibility rule for 366 is a method by which we can find out if a number is divisible by 366 or not without using the division method. Check whether 43902 is divisible by 366 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 61, as 366 = 2 × 3 × 61.
Divisibility by 2: The last digit of the number should be even. Here, 2 is even, so 43902 is divisible by 2.
Divisibility by 3: Sum the digits of the number, 4+3+9+0+2=18. Since 18 is divisible by 3, 43902 is divisible by 3.
Divisibility by 61: This requires checking directly or using a calculator since 61 is a prime number. In practice, this is often verified by division.
Step 2: If the number is divisible by 2, 3, and 61, then it is divisible by 366.
Tips and Tricks for Divisibility Rule of 366
Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 366.
- Know the multiples of 366: Memorize a few multiples of 366 (366, 732, 1098, etc.) to quickly check divisibility.
- Use divisibility rules of factors: Remember, a number is divisible by 366 if it is divisible by 2, 3, and 61.
- Check smaller factors first: It's often easier to check divisibility with smaller numbers (2 and 3) before checking with larger ones like 61.
- Use the division method to verify: Students can use the division method 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 366
Divisibility Rule of 366 Examples
Problem 1
Is a shipment of 1098 units divisible into batches of 366 units each?
Explanation
Problem 2
Can a company divide 7326 products equally into groups of 366?
Explanation
Problem 3
Is a total of 1464 tickets divisible by 366?
Explanation
Problem 4
A farm has 4026 seeds. Can these be packed into bags of 366 seeds each without leftover?
Explanation
Problem 5
Is a library with 1830 books divisible into sections of 366 books each?
Explanation
FAQs on Divisibility Rule of 366
1.What is the divisibility rule for 366?
2.How many numbers are there between 1 and 1000 that are divisible by 366?
3.Is 732 divisible by 366?
4.What if a number is divisible by only two of the factors?
5.Does the divisibility rule of 366 apply to all integers?
Important Glossaries for Divisibility Rule of 366
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without using division.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. In this context, 61 is a prime number.
- Multiple: A multiple is a number that can be divided by another number without leaving a remainder. For example, multiples of 366 include 366, 732, etc.
- Sum of digits: Adding all the digits of a number to check divisibility by certain numbers like 3.
- Factors: Numbers that divide another number exactly. For 366, the relevant factors are 2, 3, and 61.
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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.
