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what is a fundamental theorem of arithmatic |
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Answer» 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.This theorem also says that the prime factorisation of a natural number is unique, except for the order of its factors.For example 20 can be expressed as 2×2×5Using this theorem the LCM and HCF of the given pair of positive integers can be calculated.LCM = Product of the greatest power of each prime factor, involved in the numbers.HCF = Product of the smallest power of each common prime factor in the numbers. Every composite number is expressed as a product of prime and this factorisation is unique apart from the order at which the prime factors occur... |
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