214 LearnersLast updated on May 26th, 2025
Divisibility Rule of 294
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 294.
What is the Divisibility Rule of 294?
The divisibility rule for 294 is a method by which we can find out if a number is divisible by 294 or not without using the division method. Check whether 588 is divisible by 294 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 7, as 294 is a product of these prime factors (2, 3, and 7).
- Divisibility by 2: A number is divisible by 2 if its last digit is even. Here, 588 ends with 8, which is even.
- Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3. Sum of digits of 588 is 5+8+8=21, and 21 is divisible by 3.
- Divisibility by 7: Follow the rule for 7. Multiply the last digit by 2, i.e., 8×2=16. Subtract this from the remaining leading part, 58−16=42. Since 42 is a multiple of 7, 588 is divisible by 7.
Step 2: Since 588 satisfies the rules for divisibility by 2, 3, and 7, it is divisible by 294.
Tips and Tricks for Divisibility Rule of 294
Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 294.
Know the prime factors:
Memorize the primes 2, 3, and 7 to quickly check divisibility. If a number is divisible by all three, it's divisible by 294.
Break down large numbers:
For large numbers, break them down into smaller parts and check divisibility step-by-step for each prime factor.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 294
The divisibility rule of 294 helps us quickly check if a given number is divisible by 294, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you.
Mistake 1
Not checking divisibility for all prime factors.
Ensure the number is divisible by 2, 3, and 7 to be divisible by 294.
Mistake 2
Incorrect sum of digits for divisibility by 3.
Carefully add up all digits and verify if their sum is divisible by 3.
Mistake 3
Misapplying the divisibility rule for 7.
Follow the correct steps for the divisibility rule of 7, including multiplying the last digit by 2 and subtracting it from the rest of the number.
Mistake 4
Misapplying the divisibility rule for 7.
Follow the correct steps for the divisibility rule of 7, including multiplying the last digit by 2 and subtracting it from the rest of the number.
Mistake 5
Confusing the steps.
Practice regularly to remember the sequence and application of checks for 2, 3, and 7.
Divisibility Rule of 294 Examples
Problem 1
Is 588 divisible by 294?
Yes, 588 is divisible by 294.
Explanation
To verify if 588 is divisible by 294, we can directly divide the number. 588 ÷ 294 = 2, which is an integer. Therefore, 588 is divisible by 294.
Problem 2
Check the divisibility rule of 294 for 882.
Yes, 882 is divisible by 294.
Explanation
To check if 882 is divisible by 294, divide the number by 294. 882 ÷ 294 = 3, which is an integer. Hence, 882 is divisible by 294.
Problem 3
Is 1470 divisible by 294?
No, 1470 is not divisible by 294.
Explanation
For checking the divisibility of 1470 by 294, divide the number by 294. 1470 ÷ 294 is approximately 5, which is not an integer. Thus, 1470 is not divisible by 294.
Problem 4
Can 1764 be divisible by 294 following the divisibility rule?
Yes, 1764 is divisible by 294.
Explanation
To confirm if 1764 is divisible by 294, divide it directly. 1764 ÷ 294 = 6, which is an integer. Therefore, 1764 is divisible by 294.
Problem 5
Check the divisibility rule of 294 for 2058.
No, 2058 is not divisible by 294.
Explanation
To determine if 2058 is divisible by 294, divide 2058 by 294. 2058 ÷ 294 is approximately 7, which is not an integer. Therefore, 2058 is not divisible by 294.
FAQs on Divisibility Rule of 294
1.What is the divisibility rule for 294?
2.How many numbers between 1 and 1000 are divisible by 294?
3.Is 882 divisible by 294?
4.What if I get 0 after checking all steps?
5.Does the divisibility rule of 294 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 294?
7.What are some fun ways kids in United States can practice Divisibility Rule of 294 with numbers?
8.What role do numbers and Divisibility Rule of 294 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 294 skills?
Important Glossaries for Divisibility Rule of 294
- Divisibility rule: Rules used to determine if one number is divisible by another without direct division.
- Prime factors: Prime numbers that multiply together to give the original number. For 294, these are 2, 3, and 7.
- Multiples: Results from multiplying a number by an integer. For example, multiples of 294 are 294, 588, etc.
- Subtraction: A process of finding the difference between two numbers.
- Integers: Numbers including all whole numbers, negative numbers, and zero.
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About BrightChamps in United States
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.
