Divisibility Rule of 64

The divisibility rule for 64 is a method by which we can find out if a number is divisible by 64 or not without using the division method. Check whether 512 is divisible by 64 with the divisibility rule.

Step 1: Since 64 is a power of 2 (specifically 2^6), a number is divisible by 64 if its last six digits are divisible by 64. In this case, the entire number 512 is considered because it is less than six digits.

Step 2: Check if 512 is divisible by 64 using division or by recognizing that 512 is a power of 2 (2^9), which is greater than or equal to 2^6 (64).

Step 3: Since 512 is greater than 2^6 and equals a power of 2, it is divisible by 64

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 64.

Know the powers of 2:

Memorize the powers of 2 up to 64 (2, 4, 8, 16, 32, 64) to quickly identify if a number is divisible by 64. 

Use the last six digits:

For larger numbers, focus only on the last six digits to determine divisibility by 64.

Recognize powers of 2:

If a number is a power of 2 and greater than or equal to 2^6, it is divisible by 64.

Repeat the process for large numbers:

For numbers with more than six digits, repeatedly check the last six digits for divisibility by 64.

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This will help them confirm and also learn.

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

• Powers of 2: Numbers that can be expressed as 2 raised to an integer exponent (e.g., 2, 4, 8, 16, 32, 64).

• Last Six Digits: The final six digits of a number, which are crucial for determining divisibility by 64.

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

• Verification: The process of confirming results using division or other methods to ensure accuracy.