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What is the fundamental theorem of …

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What is the fundamental theorem of arithmetic with example

    • Posted by Dinesh Singh 5 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 4 months ago

    Fundamental Theorem of Arithmetic:
    Fundamental Theorem of Arithmetic states that every composite number greater than 1 can be expressed or factorised as a unique product of prime numbers except in the order of the prime factors.

    We can write the prime factorisation of a number in the form of powers of its prime factors.

    By expressing any two numbers as their prime factors, their highest common factor (HCF) and lowest common multiple (LCM) can be easily calculated.

    The HCF of two numbers is equal to the product of the terms containing the least powers of common prime factors of the two numbers.

    The LCM of two numbers is equal to the product of the terms containing the greatest powers of all prime factors of the two numbers.

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