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No. The mass of any body will be the same where ever it is. It's weight, however, depends on the location.

Contrary to everyday use of the word, in physics, weight is actually the downward force caused by a gravity field and measured in newtons. It is expressed by the formula F=ma where m is the mass of the body and a is the gravitational acceleration.

On Earth, a=9.81 m/s2 and on Mars a=3.71 m/s2. The difference is about 2.6 times. So on Earth, a person with a mass of, say, 80kg weighs about 785N and on Mars, about 297N. The latter number in Earth gravity corresponds to a mass of about 30 kg.

Without all the math:

Your mass remains the same but your weight will change. On Mars, you feel about 2.6 times lighter.

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