Weight and mass question

A certain particle has a weight of 26.0 N at a point where the acceleration due to gravity is 9.80 m/s^2. (a) What are the weight and mass of the particle at a point where the acceleration due to gravity is 4.60 m/s^2? (b) What are the weight and mass of the particle if it is moved to a point in space where the gravitational force is zero?

If the answers are (a) 12.2 N, 2.65 kg (b) 0 N, 2.65 kg how would I get there?

~Thanks.

weight = mass x accel due to gravity

mass is always the same (unless you add or remove matter from the object)

so we can find the mass knowing its weight is 2N when g=9.8m/s/s

W= mg => m=W/g = 26N/9.8m/s/s = 2.65kg

if g=4.6m/s/s, then W= 2.65kg*4.6m/s/s=12.2N

if there is no grav attraction, then there is no weight even though there is mass