By the <fundamental theorem of arithmetic>, every <integer> greater than one has a <prime factorization>, and that factorization is unique up to reordering the factors. Equivalently, it has a unique finite prime-exponent representation $\boxed{n=\prod_pp^{v_p(n)}}$, with nonnegative <integer> exponents. The unit <integer> has the empty product.

Solution

Past exam of the options I course of the University of Oxford / 2004 / C / C1 / a / i / Solution

 Solution (source code)