The show had come under pressure from a children's music charity of the same name after it tried to trademark "Rhythmix" in Europe.
"At the request of the charity Rhythmix, the members of the girl group Rhythmix have decided to change their name, a decision which has the support of Syco and TalkbackTHAMES," an X Factor spokesperson said.
"The group's new name will be announced in due course".
The group are believed to have decided to make the change because they did not want to cause the charity any difficulties, despite there reportedly being no legal reason why they could not continue under the Rhythmix name.
Earlier today, the charity's chief executive Mark Davyd wrote an open letter to X Factor boss Simon Cowell asking him to change the name of the girl group.
"We don't believe that you are unaware of the way your own company is acting," Davyd said. "We are personally asking you to sort this problem out in the quickest and simplest way: Just change the name."
Davyd had initially said that it was "not appropriate" for the reality show to use the name and claimed that his first reply from the show was "basically, 'We don't care'".
The charity later backed a campaign to get Nirvana's 'Smells Like Teen Spirit' to number one at Christmas in protest against The X Factor.
Watch Rizzle Kicks mention the Rhythmix issue on The Xtra Factor below: