Divisibility Rule of 273

The divisibility rule for 273 is a method by which we can find out if a number is divisible by 273 or not without using the division method. Check whether 3003 is divisible by 273 with the divisibility rule.  

Step 1: Check if the number is divisible by 3. Add the digits of 3003: 3+0+0+3=6. Since 6 is divisible by 3, 3003 passes the first test.

Step 2: Check if the number is divisible by 7. Multiply the last digit by 2: 3×2=6. Subtract from the rest of the number: 300–6=294. Since 294 is divisible by 7, 3003 passes the second test.

Step 3: Check if the number is divisible by 13. Add 4 times the last digit to the rest: 300+4×3=312. Since 312 is divisible by 13, 3003 passes the third test.

Since 3003 passes all three tests (divisible by 3, 7, and 13), it is divisible by 273.

Learn divisibility rules to master division. Let’s learn a few tips and tricks for the divisibility rule of 273.

Know the multiples:

Memorize the multiples of 3, 7, and 13 to quickly check divisibility. If a number is divisible by all three, it is divisible by 273.

Use the negative numbers:

If the result after any subtraction is negative, consider it as positive for checking divisibility.

Repeat the process for large numbers:

Keep repeating the divisibility process until reaching smaller numbers that are divisible by 3, 7, and 13. For example, check if 819 is divisible by 273. First, check divisibility by 3, then 7, then 13.

Use the division method to verify:

Use the division method to verify and cross-check results, ensuring comprehension and accuracy.

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

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 273 are 273, 546, 819, etc.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

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

• Verification: The process of confirming results through additional methods, such as direct division.