Divisibility Rule of 699

The divisibility rule for 699 is a method by which we can find out if a number is divisible by 699 or not without using the division method. Check whether 2097 is divisible by 699 with the divisibility rule.

Step 1: Triple the last digit of the number. Here in 2097, 7 is the last digit, so multiply it by 3. 7 × 3 = 21.

Step 2: Add the result from Step 1 to the remaining part of the number without the last digit. That is, 209 + 21 = 230.

Step 3: If the result from Step 2 is divisible by 699, then the original number is also divisible by 699. In this case, 230 is not divisible by 699, so 2097 is not divisible by 699.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 699.

Know the multiples of 699:

Memorize the multiples of 699 (e.g., 699, 1398, 2097, etc.) to quickly check divisibility. If the result from the addition is a multiple of 699, then the number is divisible by 699.

Use the negative numbers:

If the result we get after the addition is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 699. For example, check if 4893 is divisible by 699 using the divisibility test. Triple the last digit, 3 × 3 = 9. Add 9 to the remaining digits excluding the last digit, 489 + 9 = 498. Since 498 is smaller but still not divisible by 699, repeat the process. Triple the last digit, 8 × 3 = 24. Add 24 to 49, 49 + 24 = 73. 73 is still not divisible by 699, so 4893 is not divisible by 699.

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 find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even number.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 699 are 699, 1398, 2097, etc.

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

• Addition: Addition is a process of combining two numbers to get a sum.

• Verification: The process of using an alternative method, such as division, to confirm the results obtained through a rule or test.