WOLFRAM|DEMONSTRATIONS PROJECT

Fundamental Theorem of Arithmetic

​
n
10
Every natural number greater than one can be written as a unique product of ordered prime numbers:
10
1
2
·
1
5
The fundamental theorem of arithmetic (or unique factorization theorem) states that every natural number greater than 1 can be written as a unique product of ordered primes. This Demonstration illustrates the theorem by showing the factorizations up to 10,000,000.