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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.
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Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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Thank you for understanding, and happy exploring!
