state the fumdamental theorem of arithmetic
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Fundamental Theorem of Arithmetic: ... 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 2×2×5. Using this theorem the LCM and HCF of the given pair of positive integers can be calculated.
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the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1[3] either is a prime number itself or can be represented as the product of prime numbers and that, moreover, this representation is unique, up to (except for) the order of the factors.[4][5][6] For example,
1200 = 24 × 31 × 52 = 2 × 2 × 2 × 2 × 3 × 5 × 5 = 5 × 2 × 5 × 2 × 3 × 2 × 2 = ...
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