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Question

State fundamental theorem of arithmetic.


Solution

Fundamental Theorem of Arithmetic :-
Fundamental Theorem of Arithmetic states that every composite number greater than 1 can be expressed or factorized as a unique product of prime numbers (ignoring the order of the prime factors). It is also known as 'Unique Factorization Theorem' or the 'Unique Prime-Factorization Method.

Explanation :

Prime Factorization of 1176 =  2³ × 3 × 7² = 2 × 2 × 2 × 3 × 7 × 7

1176 is represented as a product of primes and in any order. We can write the prime factorization of a number in the form of powers of its prime factors.

 

Mathematics
Secondary School Mathematics X
Standard X

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