What Is the Product of Primes for the Integer 23?

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SUMMARY

The integer 23 is classified as a prime number, meaning it cannot be expressed as a product of other prime numbers. The discussion clarifies that while every integer greater than 1 is a product of primes, prime numbers themselves, such as 23, do not have prime factors other than themselves. This reinforces the definition of prime numbers and their unique properties in number theory.

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PsychonautQQ
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Homework Statement


My textbook says any integer greater than 1 is a product of primes. Wouldn't that mean that there are no prime numbers? What is the product of primes that create the integer 23?


Homework Equations





The Attempt at a Solution

 
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PsychonautQQ said:

Homework Statement


My textbook says any integer greater than 1 is a product of primes. Wouldn't that mean that there are no prime numbers? What is the product of primes that create the integer 23?


Homework Equations





The Attempt at a Solution


No. 23, for example, is prime. But it is true that any number that is not prime is a product of primes.
 
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PsychonautQQ said:
any integer greater than 1 is a product of primes

In this case, the plural of the word "primes" can also be singular.
 
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