I am working on a discrete math problem proving that all integers > 1 are a product of primes but I do not understand how 2, 3 , or 7 could be written as a product of primes considering they are prime? I want to assume it would be them * 1 but 1 is not prime. This is leaving me excruciatingly confused.
2026-04-28 17:54:37.1777398877
How is 2 considered a product of primes.
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Good question. You are correct that $1$ is not prime. When the fundamental theorem of arithmetic says that any number can be written as a product of primes, there could be any number of primes in the product. For example, there could be a thousand primes in the product, or there could be only one prime in the product, and the latter is the case when the number being factored is prime.