Prime Factorization of 136
What is the Prime Factorization of 136?
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Explanation of number 136 Prime Factorization
Prime Factorization of 136 it is expressing 136 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 136.
Since number 136 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 136, we have to iteratively divide 136 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 136:
The smallest Prime Number which can divide 136 without a remainder is 2. So the first calculation step would look like:
136 ÷ 2 = 68
Now we repeat this action until the result equals 1:
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1
Now we have all the Prime Factors for number 136. It is: 2, 2, 2, 17
Or you may also write it in exponential form: 23 × 17
Prime Factor Tree of 136
We may also express the prime factorization of 136 as a Factor Tree:
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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
Prime Factorization Table
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself