Class 10 / Maths / Real Numbers / The Fundamental Theorem of Arithmetic

The Fundamental Theorem of Arithmetic

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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Class 10 / Maths / Real Numbers / The Fundamental Theorem of Arithmetic

Theorem 1.2 (Fundamental Theorem Of Arithmetic)

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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Class 10 / Maths / Real Numbers / The Fundamental Theorem of Arithmetic

Example 5 and 6 (The Fundamental Theorem of Arithmetic)

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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Class 10 / Maths / Real Numbers / The Fundamental Theorem of Arithmetic

Example 7 and 8 (The Fundamental Theorem of Arithmetic)

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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