Prime Factorization of 64
What is the Prime Factorization of 64?
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Explanation of number 64 Prime Factorization
Prime Factorization of 64 it is expressing 64 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 64.
Since number 64 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 64, we have to iteratively divide 64 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 64:
The smallest Prime Number which can divide 64 without a remainder is 2. So the first calculation step would look like:
64 ÷ 2 = 32
Now we repeat this action until the result equals 1:
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1
Now we have all the Prime Factors for number 64. It is: 2, 2, 2, 2, 2, 2
Or you may also write it in exponential form: 26
Prime Factor Tree of 64
We may also express the prime factorization of 64 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
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Prime Factorization Table
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself