Divisibility Rule of 638

The divisibility rule for 638 is a method by which we can find out if a number is divisible by 638 or not without using the division method. Check whether 1276 is divisible by 638 using the divisibility rule.

Step 1: Since there is no simple traditional rule for 638, we can break it down using its prime factors. The prime factorization of 638 is 2 × 7 × 7 × 13. First, check divisibility by 2. The last digit is 6, which is even, so it is divisible by 2.

Step 2: Now, check divisibility by 49 (7 × 7). For checking divisibility by 49, a simple method is not generally taught, so we use direct division or check using smaller factors.

Step 3: Next, check divisibility by 13. The steps are more involved and generally require direct division or specialized techniques.

If all the three conditions of divisibility by 2, 49, and 13 are satisfied, then the number is divisible by 638.

Learn divisibility rules to master division. Let’s learn a few tips and tricks for the divisibility rule of 638

1. Break down into smaller factors:

Know the multiples of 2, 7, and 13 to quickly check the divisibility. If a number is divisible by these, it is divisible by 638.

2. Use negative numbers:

If the result of any step is negative, consider it as positive for checking divisibility.

3. Repeat the process for large numbers:

Keep repeating the divisibility process until you reach a small number that is divisible by 2, 49, and 13.

4. Use the division method to verify:

Always verify with the division method to cross-check results.

• Divisibility rule: A set of steps used to determine if one number is divisible by another.

• Prime factorization: Breaking down a number into its prime factors.

• Multiple: A number that can be obtained by multiplying a given integer by another integer.

• Integer: Any of the positive or negative whole numbers, including zero.

• Subtraction: The process of deducting one number from another.