Divisibility Rule of 402

The divisibility rule for 402 is a method by which we can determine if a number is divisible by 402 without using the division method. Check whether 804 is divisible by 402 using the divisibility rule.

Step 1: Check if the number is divisible by 2. Since 804 ends in 4, which is even, it is divisible by 2.

Step 2: Check if the number is divisible by 3. Sum the digits of 804: 8 + 0 + 4 = 12. Since 12 is divisible by 3, 804 is divisible by 3.

Step 3: Check if the number is divisible by 67. Divide 804 by 67. If it divides evenly, then 804 is divisible by 67. In this case, 804 ÷ 67 = 12.

Since 804 is divisible by 2, 3, and 67, it is divisible by 402.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 402.

1. Know the prime factors: Understand that 402 = 2 × 3 × 67. A number must be divisible by all these prime factors to be divisible by 402.

2. Use divisibility rules for each factor: Use the divisibility rules for 2, 3, and 67 separately to check divisibility quickly.

3. Repeat the process for large numbers: For larger numbers, check divisibility by each factor until a smaller number is reached.

4. Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
 

• Divisibility rule: A set of rules used to determine whether a number is divisible by another without performing division.

• Prime factors: The prime numbers that multiply together to give the original number (e.g., 2, 3, and 67 for 402).

• Integer: A number that includes all whole numbers, both positive and negative, and zero.

• Sum of digits: The total obtained by adding all the digits of a number.

• Verification: The process of checking or proving the correctness of a mathematical operation or result.