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In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors. For example,

1200 = 24 × 31 × 52 = 3 × 2 × 2 × 2 × 2 × 5 × 5 = 5 × 2 × 3 × 2 × 5 × 2 × 2 = etc.

The theorem is stating two things: first, that 1200 canbe represented as a product of primes, and second, no matter how this is done, there will always be four 2s, one 3, two 5s, and no other primes in the product.

The requirement that the factors be prime is necessary: factorizations containing composite numbers may not be unique (e.g. 12 = 2 × 6 = 3 × 4).

This theorem is one of the main reasons for which 1 is not considered as a Prime number: if 1 were prime, the factorization would not be unique, as, for example, 2 = 2×1 = 2×1×1 = ...

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Q: Why isn't one a prime number?
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A number that isnt a prime number?

Composite


What is a number called when it isnt a prime number?

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Why isnt 39 a prime number?

39 is not a prime number because it has four factors: 1,3,13,39 and because prime number are numbers who has 2 factors.


Can five over nineteen be reduced?

no, 5 isnt divisable by 19. 19 is a prime number and isnt divisable by anything.


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there isnt one because 27 is a prime number. and come one, really? thats like 3rd grade stuff!!


Is 62 a relatively prime number?

62 is not a prime number and you cannot get a relitavely prime number it either is a prime number or it isnt a prime number! The definition of a prime number is a number that can only be divided b itself and one. No other number 62 can be divided by 2 as well as itself and 1 so NO IT IS NOT A PRIME NUMBER even numbers tend not to be prime numbers because they can be divided by two the only even number that is prime is 2 because it can only be divided by itself and 1 I hope this helped!


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What is the smallest number that looks prime but really isnt?

It isn't clear what you mean with "looks like prime". What would your criteria be to "look like a prime"? The first prime numbers are:2, 3, 5, 7, 11, 13, 17, 23, 29, 31 ...Other positive integers (larger than 1) are composite numbers. The number 1 has a special role, as the identity element of multiplication. It is neither a prime number nor a composite number.