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What is fundamental theorem of arthmetic ? |
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Answer» According to fundamental theorem of arithmetic every composite number has unique prime factor 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\xa0{tex}2 × 2 × 5 {/tex}Using 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. |
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