Divisibility Rule of 525

The divisibility rule for 525 is a method by which we can find out if a number is divisible by 525 or not without using the division method.

To check whether a number is divisible by 525, it must be divisible by 3, 5, and 7, since 525 = 3 × 5 × 7.

Example: Check whether 3675 is divisible by 525 with the divisibility rule.

1. Divisibility by 3: Add up the digits of the number. If the sum is divisible by 3, then the number is divisible by 3. For 3675, 3+6+7+5=21, and 21 is divisible by 3.

2. Divisibility by 5: Check if the last digit of the number is 0 or 5. For 3675, the last digit is 5, so it is divisible by 5.

3. Divisibility by 7: Multiply the last digit by 2 and subtract it from the rest of the number. Repeat if necessary. For 3675, multiply 5 by 2 to get 10, and subtract from 367 to get 357. Repeat the process: multiply 7 by 2 to get 14 and subtract from 35 to get 21. Since 21 is divisible by 7, 3675 is divisible by 7.

Since 3675 is divisible by 3, 5, and 7, it is divisible by 525.

Knowing the individual rules for 3, 5, and 7 will help in mastering the divisibility rule for 525. Let's learn a few tips and tricks for this rule.

1. Know the multiples of 3, 5, and 7:

Memorizing these multiples will allow you to quickly verify divisibility.

2. Use the negative numbers:

If the result you get after using the divisibility rule for 7 is negative, ignore the symbol and consider it as positive for checking divisibility.

3. Repeat the process for large numbers:

For large numbers, you may need to repeat the divisibility check for 7 until you reach a smaller number.

4. Use the division method to verify:

You can use the division method to verify and cross-check your results.

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

• Multiples: Results obtained by multiplying a number by integers. For example, multiples of 5 are 5, 10, 15, etc.

• Integers: Whole numbers, including negative numbers, zero, and positive numbers.

• Subtraction: The process of finding the difference between two numbers by reducing one number from another.

• Verification: The process of confirming the correctness of a result, often using another method like division.