Question

Every composite number can be factorised as a product of primes.

• A. True
• B. False

Answer 1

The correct option is A True

The Fundamental Theorem of Arithmetic says that every composite number can be factorised as a product of primes. Actually it says more. It says that given any composite number, it can be factorised as a product of prime numbers in a ‘unique’ way, except for the order in which the primes occur. That is, given any composite number there is one and only one way to write it as a product of primes, as long as we are not particular about the order in which the primes occur. For example, we regard $2\times 3\times 5\times 7$ as the same as $3\times 5\times 7\times 2$, or any other possible order in which these primes are written.