Positive Fibonacci Numbers with just k Zeroes in their Mantissa

According to the properties of the exponents of factor 2 and factor 5 in the standard factorization of positive Fibonacci numbers Fn,the characteristics of the subscript n in the positive Fibonacci numbers Fn with just k zeroes in their mantissa are discussed based on the Elementary Number Theory in this paper,and the conclusion that there exist positive Fibonacci numbers with just k zeroes in their mantissa for any positive integer k is also proved.