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It means to separate the number into (integer) factors; for each factor continue looking for factors; until no further division into factors is possible, i.e., until all factors are prime numbers.

For example, 12 = 2 x 6 = 2 x 2 x 3. Since 2 and 3 are prime numbers, this is the solution of the problem of expressing as a product of prime numbers.

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Q: What does it mean to express a composite number as a product of prime numbers?
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Prime is writing a composite number as a product of prime numbers?

Prime factorization is writing a composite number as a product of prime numbers.


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