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29 Dec 2022, 08:26
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I am aware of the squaring factors rule that says when you square a number, you change the total number of factors but no new primes are created in the process.
So, if I take 6^2=36, I then have two more primes (2 and 3) because 6 is the product of 2 and 3 and then with another 6, I get an additional 2 and 3.
So, does this rule mean that no new DISTINCT primes are created in the process (e.g., I am not going to introduce a new prime number that is not already a factor such as 7)?
Thank you!
So, if I take 6^2=36, I then have two more primes (2 and 3) because 6 is the product of 2 and 3 and then with another 6, I get an additional 2 and 3.
So, does this rule mean that no new DISTINCT primes are created in the process (e.g., I am not going to introduce a new prime number that is not already a factor such as 7)?
Thank you!
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30 Dec 2022, 03:13
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woohoo921
If you square positive integer x, then x^2 won't have any new primes that x itself does not have. Of course powers of primes x has will be doubled in x^2 but no new prime will magically appear.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
