183 LearnersLast updated on May 26th, 2025
Divisibility Rule of 64
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.
What is 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
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Tips and Tricks for Divisibility Rule of 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 64
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.
Mistake 1
Not focusing on the last six digits.
For numbers with more than six digits, only the last six digits matter for divisibility by 64.
Mistake 2
Confusing powers of 2 with multiples of 64.
Remember that a number must be greater than or equal to 2^6 to be divisible by 64.
Mistake 3
Not repeating the process for large numbers.
For large numbers, keep checking the last six digits until you find a divisible segment.
Mistake 4
Ignoring smaller powers of 2.
Ensure the number is at least 64 or a higher power of 2 to confirm divisibility.
Mistake 5
Not verifying with division.
Use division to verify the result when in doubt.
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Divisibility Rule of 64 Examples
Problem 1
Is 512 divisible by 64?
Yes, 512 is divisible by 64.
Explanation
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).
Problem 2
Check the divisibility rule of 64 for 1024.
Yes, 1024 is divisible by 64.
Explanation
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).
Problem 3
Is 768 divisible by 64?
Yes, 768 is divisible by 64.
Explanation
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).
Problem 4
Can 500 be divisible by 64 following the divisibility rule?
No, 500 is not divisible by 64.
Explanation
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.
Problem 5
Check the divisibility rule of 64 for 1280.
Yes, 1280 is divisible by 64.
Explanation
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).
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FAQs on Divisibility Rule of 64
1.What is the divisibility rule for 64?
2.How many numbers are there between 1 and 1000 that are divisible by 64?
3.Is 128 divisible by 64?
4.What if I get 0 after checking the last six digits?
5.Does the divisibility rule of 64 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 64?
7.What are some fun ways kids in United States can practice Divisibility Rule of 64 with numbers?
8.What role do numbers and Divisibility Rule of 64 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 64 skills?
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Important Glossaries for Divisibility Rule of 64
- 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.
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About BrightChamps in United States
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
