Divisibility Rule of 414

The divisibility rule for 414 is a method by which we can find out if a number is divisible by 414 or not without using the division method. Check whether 828 is divisible by 414 with the divisibility rule.

Step 1: Check if the number is divisible by 2. Here, 828 is an even number, so it is divisible by 2.

Step 2: Check if the number is divisible by 3. Add up the digits: 8 + 2 + 8 = 18. Since 18 is divisible by 3, 828 is divisible by 3.

Step 3: Check if the number is divisible by 23. Divide 828 by 23 to verify: 828 ÷ 23 = 36. Since the division results in a whole number, 828 is divisible by 23.

Since 828 is divisible by 2, 3, and 23, it is divisible by 414.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 414.

1. Know the prime factors: Understand that 414 = 2 × 3 × 23. Ensure that a number is divisible by these prime factors to check its divisibility by 414.

2. Use the division method for verification: After checking divisibility by 2, 3, and 23, use division to verify the results.

3. Repeat the process for large numbers: For larger numbers, first apply divisibility tests for 2, 3, and 23, then verify using division.

4. Memorize the prime multiples: Knowing the multiples of 2, 3, and 23 can help in quickly checking divisibility.

5. Simplify the process: Break down the number into smaller parts if needed to apply the divisibility tests more easily.
 

• Divisibility Rule: A set of guidelines used to determine if one number is divisible by another without performing division.

• Prime Factor: A factor that is a prime number. For 414, its prime factors are 2, 3, and 23.

• Multiples: Numbers that are the product of a given number and an integer. For example, multiples of 23 are 23, 46, 69, etc.

• Verification: The process of confirming results, often using the division method to ensure a calculation is correct.

• Arithmetic: The branch of mathematics dealing with numbers and basic operations such as addition, subtraction, multiplication, and division.