Are you familiar with prime factorization of integers? Any integer can be expressed as a finite product of primes. Using exponents, a rational number can be expressed as a product of a finite number of prime powers (where the exponent of each prime is an integer). For example, . When representing a fraction with decimals, if the only primes with negative exponents are for 2 and 5, the decimal expression will be finite (this is because ). If any other prime has a negative exponent, it will be an infinite representation. In binary, if the only prime with a negative exponent is 2, then it will have a finite binary representation. Otherwise, it will be infinite.