Question

State the fundamental theorem of arithmetic . Explain it for the number 1176 plz no links

Answer 1

The fundamental theorem of arithmetic (FTA), also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is prime itself or is the product of a unique combination of prime numbers

Answer 2

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 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 1176,
1176= ${2}^{3} \times {3}^{1} \times {7}^{2} = 2 \times 2 \times 2 \times 3 \times 7 \times 7$