Last updated on May 26th, 2025
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly and sorting things. In this topic, we will learn about the 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.
Memorize the powers of 2 up to 64 (2, 4, 8, 16, 32, 64) to quickly identify if a number is divisible by 64.
For larger numbers, focus only on the last six digits to determine divisibility by 64.
If a number is a power of 2 and greater than or equal to 2^6, it is divisible by 64.
For numbers with more than six digits, repeatedly check the last six digits for divisibility by 64.
Students can use the division method to verify and cross-check their results. This will help them confirm and also learn.
The divisibility rule of 64 helps us quickly check if a given number is divisible by 64, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Is 512 divisible by 64?
Yes, 512 is divisible by 64.
To determine if 512 is divisible by 64, we need to see if 512 is a multiple of 64.
1) Divide 512 by 64, which equals 8.
2) Since the result is a whole number, 512 is divisible by 64 (64 x 8 = 512).
Check the divisibility rule of 64 for 1024.
Yes, 1024 is divisible by 64.
To check if 1024 is divisible by 64,
1) Divide 1024 by 64, which equals 16.
2) Since the division results in a whole number, 1024 is divisible by 64 (64 x 16 = 1024).
Is 768 divisible by 64?
Yes, 768 is divisible by 64.
To verify if 768 is divisible by 64,
1) Divide 768 by 64, which equals 12.
2) Since the result is a whole number, 768 is divisible by 64 (64 x 12 = 768).
Can 500 be divisible by 64 following the divisibility rule?
No, 500 is not divisible by 64.
To check if 500 is divisible by 64,
1) Divide 500 by 64, which results in approximately 7.8125.
2) Since the result is not a whole number, 500 is not divisible by 64.
Check the divisibility rule of 64 for 1280.
Yes, 1280 is divisible by 64.
To determine if 1280 is divisible by 64,
1) Divide 1280 by 64, which equals 20.
2) Since the division results in a whole number, 1280 is divisible by 64 (64 x 20 = 1280).
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.