what are the divisidles rules

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The divisibility rules are a set of guidelines that help determine if one number is divisible by another number without actually performing the division. These rules are helpful when working with large numbers or when checking divisibility quickly.

Here are some commonly used divisibility rules:

1. Divisibility by 2: A number is divisible by 2 if its last digit is even, meaning it is either 0, 2, 4, 6, or 8.

2. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

3. Divisibility by 4: A number is divisible by 4 if the two-digit number formed by its last two digits is divisible by 4.

4. Divisibility by 5: A number is divisible by 5 if its last digit is either 0 or 5.

5. Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.

6. Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.

7. Divisibility by 10: A number is divisible by 10 if its last digit is 0.

These rules can be applied to determine if a number is divisible by another number. For example, to check if 243 is divisible by 3, you can add up its digits: 2 + 4 + 3 = 9. Since 9 is divisible by 3, the original number 243 is also divisible by 3.

Note that not all numbers have divisibility rules. For such cases, you will need to perform the actual division to determine if one number is divisible by another.