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Fundamental theorum of arithmetic |
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Answer» theorem, states that every integer greater than 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.[For example,1200 = 24 × 31 × 52 = 2 x 2 x 2 x 2 x 3 x 5 x 5 = 5 × 2 × 5 × 2 × 3 × 2 × 2 = ...HOPE IT WILL HELP YoU 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.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.The product of the given numbers is equal to the product of their HCF and LCM. This result is true for all positive integers and is often used to find the HCF of two given numbers if their LCM is given and vice versa. For any two positive integers a and b, HCF(a , b) x LCM(a , b) = a x b |
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