state fundamental theorem of arithmetic. explain it with no. 1176
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The fundamental theorem of arithmetic states that all prime numbers can be expressed as a product of primes.
Eg. 1176
1176=2*2*2*3*7*7
Eg. 1176
1176=2*2*2*3*7*7
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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.
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.
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