Question

for positive integers , let return the smallest positive integer such that has exactly digits after the decimal point. how many positive integer divisors does have?

Answer 1

We need to find the smallest positive integer x such that 2^n/x has exactly n digits after the decimal point, and determine the number of positive integer divisors of 2^n/x. Therefore, the number of positive integer divisors that 2n/x has would be 1.

Step-by-step explanation:

The subject of this question is Mathematics and it is suitable for High School level students.

In this question, we are given a positive integer n and we need to find the smallest positive integer x such that 2n/x has exactly n digits after the decimal point.

Let's illustrate this with an example:

If n = 3, then our decimal number would be 0.500 and the smallest positive integer divisor of x would be 2.

Therefore, the number of positive integer divisors that 2n/x has would be 1.