Prime Factorization of 169
What is the Prime Factorization of 169?
or
Explanation of number 169 Prime Factorization
Prime Factorization of 169 it is expressing 169 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 169.
Since number 169 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 169, we have to iteratively divide 169 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 169:
The smallest Prime Number which can divide 169 without a remainder is 13. So the first calculation step would look like:
169 ÷ 13 = 13
Now we repeat this action until the result equals 1:
13 ÷ 13 = 1
Now we have all the Prime Factors for number 169. It is: 13, 13
Or you may also write it in exponential form: 132
Prime Factor Tree of 169
We may also express the prime factorization of 169 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
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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