Divisibility Rule of 261

The divisibility rule for 261 is a method by which we can find out if a number is divisible by 261 or not without using the division method. Check whether 522 is divisible by 261 with the divisibility rule.

Step 1: Check if the number is divisible by 3. Add the digits of the number: 5+2+2=9. Since 9 is divisible by 3, proceed to the next step.

Step 2: Check if the number is divisible by 87. Use the divisibility rule for 87, which involves checking divisibility by 3 and 29. We already know 522 is divisible by 3.

Step 3: Now, check if 522 is divisible by 29. Divide 522 by 29. If the result is a whole number, then 522 is divisible by 29. In this case, 522 divided by 29 equals 18, which is a whole number. Therefore, 522 is divisible by 29.

Since 522 is divisible by both 3 and 29, it is divisible by 261.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 261.

Know the multiples of 261:

Memorize the multiples of 261 (261, 522, 783, etc.) to quickly check the divisibility. If the result from the division is a multiple of 261, then the number is divisible by 261.

Use smaller divisibility checks:

Since 261 is made up of 3 and 87, you can check divisibility by these smaller numbers first.

Break down complex calculations:

For larger numbers, break down the divisibility check into smaller steps using the factors of 261.

Use the division method to verify:

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

• Divisibility Rule: The set of rules used to determine if a number is divisible by another number.

• Multiples: Results obtained by multiplying a number by an integer. Multiples of 261 include 261, 522, and 783.

• Factors: Numbers that divide another number without leaving a remainder. For 261, factors include 3 and 87.

• Integer: A number that includes all whole numbers, negative numbers, and zero.

• Long Division: A method of dividing numbers to find out if one number is divisible by another, often used for verifying divisibility.