Question

State fundamental theorem of arithmetic and hence find the unique factorization of 120.

Answer 1

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.
Unique factorization of 120=2×2×2×3×5

Answer 2

To find:

Unique factorization of 120

Solution:

Each “Composite number” which is been expressed (“Factorized”) as product of the “Prime numbers”, and this Factorization becomes unique, that is apart from order at which the 'Prime Factors' gets occur.

This theorem which says that a Prime factorization of the “Natural number” is always unique, which is except from an orders of their factors.

Unique “factorization” of the value 120 is $=2 \times 2 \times 2 \times 3 \times 5.$