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product of primes

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How can you prove that 640,000,000 is a product of primes without actually finding the primes? Explain your process.

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A product of primes is illustrated in this tutorial.

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Let's argue by contradiction, which is a very common form of mathematical reasoning.
Recall the definition of a prime number. P is prime if it can be divided only by 1 and by itself.
Consequently, if P is NOT a prime, then it can be written as a product st, with s and t both different from 1 and P.

640,000,000 is not a prime. It has a zero at the ...

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