Divisibility Rule of 270

The divisibility rule for 270 is a method by which we can find out if a number is divisible by 270 or not without using the division method. Check whether 5400 is divisible by 270 with the divisibility rule.

Step 1: Verify that the number is divisible by 2. Since 5400 ends in 0, it is divisible by 2.  

Step 2: Verify that the number is divisible by 3. Sum the digits of 5400: 5 + 4 + 0 + 0 = 9, which is divisible by 3. 

Step 3: Verify that the number is divisible by 5. Since 5400 ends in 0, it is divisible by 5. 

Step 4: Verify that the number is divisible by 9. The sum of the digits, 9, is divisible by 9. 

Step 5: Verify that the number is divisible by 10. Since 5400 ends in 0, it is divisible by 10

Since 5400 satisfies the divisibility rules for 2, 3, 5, 9, and 10, it is divisible by 270.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 270.

Know the multiples of 270:

Memorize the multiples of 270 (270, 540, 810, 1080, etc.) to quickly check divisibility.

Break it down:

Since 270 is a product of 2, 3, 5, 9, and 10, ensure the number is divisible by these factors.

Combine divisibility rules:

Use the combined rules for 2, 3, 5, 9, and 10 to check large numbers efficiently.

Use the division method to verify:

Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.

• 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 270 include 270, 540, 810, etc.

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

• Factors: Numbers that divide another number evenly. The factors of 270 crucial for divisibility are 2, 3, 5, 9, and 10.

• Verification: The process of confirming results, often done using the division method.