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What is fundamental theorem of arthmetic …

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What is fundamental theorem of arthmetic ?

    • Posted by Jasmandeep Kaur 5 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Vandana Singh 5 years, 11 months ago

    According to fundamental theorem of arithmetic every composite number has unique prime factor

    0Thank You

    Yogita Ingle 5 years, 11 months ago

    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 {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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