Divisibility Rule of 231

The divisibility rule for 231 is a method by which we can find out if a number is divisible by 231 without using the division method. Check whether 693 is divisible by 231 with the divisibility rule.  

Step 1: Check if the number is divisible by 3. Add the digits of the number. For 693, 6 + 9 + 3 = 18, which is divisible by 3.

Step 2: Check if the number is divisible by 7. Use the rule for 7 (if needed, see the previous section on divisibility by 7).

Step 3: Check if the number is divisible by 11. For 693, subtract the sum of the digits in odd positions from the sum of the digits in even positions: (6 + 3) - 9 = 0, which is divisible by 11.

Step 4: If a number is divisible by 3, 7, and 11, then it is divisible by 231. Since 693 is divisible by 3, 7, and 11, it is divisible by 231.
 

Knowing divisibility rules helps kids master division. Let’s learn a few tips and tricks for divisibility rule of 231.

Know the rules for 3, 7, and 11:

Memorize the rules for divisibility by 3, 7, and 11 to quickly check divisibility by 231.

Break down large problems:

When dealing with large numbers, break them down into smaller parts to apply the divisibility rules more easily.

Repeat the process for large numbers:

Keep repeating the divisibility process until you reach a clear conclusion about divisibility by 231.

Use the division method to verify:

Use the division method as a way to verify and cross-check your results. This will help verify and also enhance learning.

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

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 231 are 231, 462, 693, etc.

• Integer: Whole numbers, including negative numbers and zero.

• Summation: The process of adding numbers together.

• Verification: The process of confirming that a result is correct, often by using a different method.