Well they are used for multipling dividing adding and subtraction
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Prime numbers and composite numbers are not used in daily jobs. However they are used by scientists to prove theorems.
3 can be used.
There may not be any fast methods. In fact, composite numbers which are the product of two very large primes are used for public key encryption. This depends on the fact that there is no fast answer to factorising composite numbers.
Rectangular numbers are a subset of composite numbers. The squares of prime numbers will be composite but not rectangular.
All composite numbers have prime factors and these are used to find the highest common factor of 2 or more numbers and they are also used in finding the lowest common multiple of 2 or more numbers. Composite numbers have 2 or more factors while prime numbers have only 2 factors which are themselves and one