Question

The fundamental theorem of arithmetic states that, every composite number can be factorized as product of primes and this factorization is unique.

(a) False

(b) True

This question was addressed to me in a job interview.

The origin of the question is Real Numbers in division Real Numbers of Mathematics – Class 10

Answer 1

The correct option is (b) True

To explain: Let us consider a composite number, say 25

25 can be factorized as 5 × 5 × 1. This factorization is unique for 25 and no other number can be represented in the same manner.