Carl Friedrich Gauss.
Carl Friedrich Gauss.
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Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.
Every composite number can be expressed (factorised) as a product of primes, and this factorisation
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is unique, apart from the order in which the prime factors occur.
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This answer was edited.
Fundamental Theorem of Arithmetic for two main applications: we use it to prove the irrationality of many of the numbers such as 2 , 3 and 5 . we apply this theorem to explore when exactly the decimal expansion of a rational number, p/q (q not equal to 0), is terminating and when it is nonterminatinRead more
Fundamental Theorem of Arithmetic for two main applications:
- we use it to prove the irrationality of many of the numbers such as
2 , 3 and 5 . - we apply this theorem to explore when exactly the decimal expansion of a rational number, p/q (q not equal to 0), is terminating and when it is nonterminating
repeating.
- we use it to prove the irrationality of many of the numbers such as
The prime factorisation of a natural number is unique, except for the order of its factors.
The prime factorisation of a natural number is unique, except for the order
See lessof its factors.