Question

state fundamental theorem of arithmetic and hence find the unique factorization of 120​

Answer 1

$\Huge\bf\red{Answer}$

$\sf{Fundamental\: theorem \:of\: arithmetic\: states \:and\: every \:composite\: numbers \:can \:be \:factorized \:in\: the \:form \:of \:prime\: numbers\: the\: factors \:will \:be\: unique\: except\: from\: the \:orders\: in\: which \:they \:were\: written.}$

$\sf{Unique\: factorization\: of\: 120\:=\:2×2×2×3×5}$

Answer 2

Answer:

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.

Factorization of 120

= 2*2*2*3*5