The only factor thet is common to 200 and an integer n is 1

The only factor thet is common to 200 and an integer n is 1. When n/200 is written as a decimal number, what is the minimum number of digits to the right ot the decimal point? A 1 B 2 C 3 D 5 E 6

Solution

factors of 200 are 1,2,4,5,8,10,20,25,40,50,100,200

given common factor = 1

so n will have other factors like 3,6,7,9,11...

so when n/200 is written

the minimum number of digits right to the decimal is

here the least possible factor for n other than 1 is 3

then

3/200 = 0.015

there are 3 digits right to the decimal point..