A cell phone cannot be made untraceable because whenever the phone uses cell technology it can be tracked through the cell towers kept by phone companies. While global positioning system features can be turned off, this connectivity to the cell technology tower cannot be turned off.
However, for those who are worried about security measures, there are methods to reduce the security risks that cell phones introduce. For those who are trying to track a person through their cell phone, they need to associate a particular cell phone device with an individual. The easiest way to do this is through monitoring a location.
To protect data of high security officials, such as the President of the United States, these officials should have different phones for different uses. An executive might choose to have a phone for his day-to-day business, another phone for traveling and yet another phone for sensitive conference calls. It can also be helpful to divide these phones by geographic region with a different phone for different cities.
In an ideal situation, a phone would only be used once before it was discarded. This is known as a burner phone, but this is also an unrealistic rule for many in the business world. Burner phones are most often used by scientists and journalists who often need to be able to keep a source a secret.