Divisibility Rule of 207

The divisibility rule for 207 is a method to find out if a number is divisible by 207 without performing the division directly. Let's see if 41214 is divisible by 207 using this rule.

Step 1: There is no simple shortcut for 207 like the rule for smaller numbers such as 7. Instead, check divisibility by 207's factors: 3, 9, and 23.

Step 2: Check divisibility by 3: Add all the digits of the number 4+1+2+1+4=12. Since 12 is divisible by 3, the number passes this test.

Step 3: Check divisibility by 9: The sum of the digits is 12, which is not divisible by 9, so 41214 is not divisible by 207.

Learning divisibility rules will help kids master division. Here are a few tips and tricks for the divisibility rule of 207:

Know the factors of 207: 207 is divisible by 3, 9, and 23. Ensure the number passes these tests for divisibility.

Use the sum of digits for 3 and 9:

For 3 and 9, use the sum of the digits to check divisibility. 

Repeat the process for large numbers:

For large numbers, check divisibility with the factors 3, 9, and 23 repeatedly if needed.

Use the division method to verify:

You can use the division method to verify and cross-check results, ensuring accuracy.

• Divisibility rule: Set of rules determining whether a number is divisible by another without direct division.
   
• Factors: Numbers that are multiplied together to get another number. For example, factors of 207 are 3, 9, and 23.
   
• Quotient: The result obtained by dividing one quantity by another.
   
• Sum of digits: The total obtained by adding all the digits of a number.
   
• Integer: A whole number that can be positive, negative, or zero.