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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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What is a number called when it isnt a prime number?
Composite
Is there an equation to find prime numbers?
a prime number is a number that can only be divided by 1and its self... 1 isnt a prime number but 2, 3, 5, 7, 9, 11 etc... are prime numbers.
What are the prime numbers in 23 32 9 1851 37 and 79?
23, 37, 79 and 51 (assuming 1851 is a typo, 18 isnt a prime) if not a typo 1851 isnt a prime number anyway, it divides by 3
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!
Why is one a prime number?
One is not a prime number. A prime number, by definition, is a number that is only divisible by two numbers: one and itself. One is divisible by only one number, one, and therefore is not a prime number.
A number that isnt a prime number?
Composite
What is a number called when it isnt a prime number?
Composite
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.
Is the number of feet in 4 and one third yards prime or composite?
prime because 4.5 yards equals 13 feet and 13 is prime because theres no number you can multiply to get 13 that isnt 1 and itself
Can five over nineteen be reduced?
no, 5 isnt divisable by 19. 19 is a prime number and isnt divisable by anything.
Is there an equation to find prime numbers?
a prime number is a number that can only be divided by 1and its self... 1 isnt a prime number but 2, 3, 5, 7, 9, 11 etc... are prime numbers.
What are the prime numbers in 23 32 9 1851 37 and 79?
23, 37, 79 and 51 (assuming 1851 is a typo, 18 isnt a prime) if not a typo 1851 isnt a prime number anyway, it divides by 3
What is the LCM of 8 12 and27?
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!
What is a number that can not be turned into a fracion?
there isnt one
Why is one a prime number?
One is not a prime number. A prime number, by definition, is a number that is only divisible by two numbers: one and itself. One is divisible by only one number, one, and therefore is not a prime number.
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.
