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.

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.
 

• 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.