What Is the Product of Primes for the Integer 23?

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Any integer greater than 1 can be expressed as a product of prime numbers, but this does not imply that there are no prime numbers. The integer 23 is itself a prime number and cannot be broken down into a product of smaller primes. Therefore, the product of primes that creates the integer 23 is simply 23 itself. The term "primes" can refer to a single prime number in this context. Understanding this distinction clarifies the relationship between prime numbers and composite numbers.
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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?


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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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