The Fundamental Theorem of Arithmetic In your earlier classes, you have seen that any natural number can be written as a product of its prime factors. For instance, 2 = 2, 4 = 2 × 2, 253 = 11
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Theorem 1.2 (Fundamental Theorem Of Arithmetic) Every composite number can be expressed ( factorised ) as a product of primes, and this factorisation is unique, apart from the order in wh
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Example 5 and 6 (The Fundamental Theorem of Arithmetic) Example 5 : Consider the numbers 4n, where n is a natural number. Check whether there is any value of n for which 4n ends with the digit zero
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Example 7 and 8 (The Fundamental Theorem of Arithmetic) Example 7 : Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM. Solution :
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