Divisibility Rule of 16

The divisibility rule for 16 is a method by which we can find out if a number is divisible by 16 or not without using the division method. Check whether 16,384 is divisible by 16 with the divisibility rule.  

Step 1: Check the last four digits of the number, here in 16,384, the last four digits are 3,384. 

Step 2: If the number formed by the last four digits is divisible by 16, then the entire number is divisible by 16. 

Step 3: In this case, 3,384 divided by 16 gives 211.5, which is not an integer, hence 16,384 is not divisible by 16.

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 16.

• Know the powers of 2: Memorize the powers of 2, especially 2^4=16, to quickly check divisibility. If the last four digits form a number that is a multiple of 16, the number is divisible by 16.

• Use the last digits: Focus on the last four digits of any number. If they form a number divisible by 16, the entire number is divisible by 16.

• Repeat the process for complex numbers: For very large numbers, you can repeat the divisibility process for different sets of four digits until you verify divisibility.

• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.

• Divisibility rule: A set of guidelines used to determine if a number is divisible by another without direct division.

• Powers of 2: Numbers that result from raising 2 to an integer exponent, such as 2, 4, 8, 16, etc.

• Integers: Whole numbers, including negatives and zero.

• Subtraction: The process of finding the difference between two numbers.

• Verification: The process of confirming the accuracy of a divisibility rule by using direct division or other methods.