If n is a positive integer, and 1036 is a factor of 100n, then what is the smallest possible value of n?

The smallest possible value of n is 259

Step-by-step explanation:

When n = 259

100n = 100*259 = 25900

25900 : 1036 = 25

Therefore, 1036 is a factor of 100n when n is 259

Answer: Therefore, the lowest value of n is 259.

n = 7*37 = 259

n = 259

Step-by-step explanation:

To get the value of n. We need to break them down to their lowest factors.

Note: they must have common factors, that is all the factors of 1036 must be found in 100n.

For;

100n = 2*2*5*5*n

1036 = 2*2*7*37

the factors of 1036 that cannot be found in 100 is the least value of n.

So, 7 and 37 is not a factor of 100

Therefore, the lowest value of n is;

n = 7*37 = 259