Divisibility Rule of 204

The divisibility rule for 204 is a method by which we can determine if a number is divisible by 204 without directly dividing. Check whether 612 is divisible by 204 with the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 17, as these are the prime factors of 204.

- For divisibility by 2: In 612, the last digit is 2, which is even, so 612 is divisible by 2.

- For divisibility by 3: Add the digits (6+1+2=9). Since 9 is divisible by 3, 612 is divisible by 3.

- For divisibility by 17, perform the division of 612 by 17. If it results in an integer, the number is divisible.

Step 2: If the number is divisible by 2, 3, and 17, then it is divisible by 204. Since 612 is divisible by 2, 3, and 17, it is divisible by 204.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 204.

• Know the prime factors: Memorize the prime factors of 204 (2, 3, 17) to quickly verify divisibility.
   
• Use the division method for prime factors: If a number is large, first check divisibility by its smaller prime factors (2, 3, 17) instead of 204 directly.
   
• Verify with division: Always double-check by performing the division of the number by 204 to confirm the result.
   
• Practice with examples: Regular practice with different numbers will help solidify understanding of the divisibility rule for 204.

• Divisibility rule: A set of guidelines to determine if a number is divisible by another without performing division.
   
• Prime factors: The prime numbers that multiply together to give a certain number. For 204, they are 2, 3, and 17.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 204 are 204, 408, 612, etc.
   
• Integer: Whole numbers, including positive, negative numbers, and zero.
   
• Verification: The process of confirming the accuracy of results, often by performing the division.