Divisibility Rule of 623

The divisibility rule for 623 is a method by which we can find out if a number is divisible by 623 or not without using the division method. Check whether 1246 is divisible by 623 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 1246, 6 is the last digit, multiply it by 2. 6×2=12

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 124−12=112.

Step 3: As it is shown that 112 is not a multiple of 623, therefore, the number is not divisible by 623. If the result from step 2 were a multiple of 623, then the number would be divisible by 623.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 623.

Know the multiples of 623:

Memorize the multiples of 623 (623, 1246, 1869, 2492, 3115, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 623, then the number is divisible by 623.

Use the negative numbers:

If the result we get after the subtraction 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 623. For example, check if 3115 is divisible by 623 using the divisibility test. Multiply the last digit by 2, i.e., 5×2=10. Subtract the remaining digits excluding the last digit by 10, 311−10=301. Still, 301 is a large number; hence, we will repeat the process again and multiply the last digit by 2, 1×2=2. Now subtracting 2 from the remaining numbers excluding the last digit, 30−2=28. As 28 is not a multiple of 623, 3115 is not divisible by 623.

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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 623 are 623, 1246, 1869, 2492, etc.

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

• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.

• Verification: The process of checking the result by using a different method, such as division, to ensure accuracy.