Divisibility Rule of 612

The divisibility rule for 612 is a method to determine if a number is divisible by 612 without using the division method. Let's check whether 36756 is divisible by 612 using the divisibility rule.

Step 1: Check if the number is divisible by 2 (since 612 is even, it must be divisible by 2). In 36756, the last digit is 6, which is even, so it's divisible by 2.

Step 2: Check if the number is divisible by 3 (since 612 = 2 × 3 × 102, it must be divisible by 3). Sum the digits: 3 + 6 + 7 + 5 + 6 = 27, which is divisible by 3.

Step 3: Check if the number is divisible by 102 (since 612 = 2 × 3 × 102). Use the division method here for simplicity: 36756 ÷ 102 = 360, which is an integer.

Since 36756 is divisible by 2, 3, and 102, it is divisible by 612.

Understanding the divisibility rule will help kids master division. Here are a few tips and tricks for the divisibility rule of 612.

• Break down into prime factors: 612 can be broken down into 2 × 3 × 102. Use these smaller checks to simplify the process.

• Use the sum of digits: For checking divisibility by 3, sum the digits of the number and see if the result is divisible by 3.

• Double-check with division: Use simple division to verify the results for large numbers once other checks are satisfied.

• Memorize smaller multiples: Being familiar with smaller multiples of 102 can help quickly verify larger numbers.

• Repeat the process: For very large numbers, check divisibility by 2, 3, and 102 separately to simplify the process.

• Divisibility Rule: A set of rules to determine if one number can be divided by another without performing division.

• Prime Factors: Numbers that are multiplied to get another number. For 612, they are 2, 3, and 102.

• Sum of Digits: Adding all digits of a number to check divisibility, especially useful for divisibility by 3.

• Multiple: A number that can be divided by another number without a remainder. Example: 1224 is a multiple of 612.

• Verification: The process of confirming results using alternative methods like division to ensure correctness.