Sexual extortion, or sextortion, involves persuading a person to send explicit photos online and then threatening to make the images public unless the victim pays money or engages in sexual favours.
Recent high-profile cases include two Nigerian brothers who pleaded guilty to sexually extorting teen boys and young men in the US state of Michigan, including one who took his own life, and a Virginia sheriff's deputy who sexually extorted and kidnapped a 15-year-old girl.
Sextortion cases had risen markedly in recent years, fuelled in part by a loosely organised group called the Yahoo Boys, operating mainly out of Nigeria, Meta said, adding it removed Facebook accounts and groups run by the group under its "dangerous organisations and individuals" policy.
In January, the FBI warned of a "huge increase" in sextortion cases targeting children.
The targeted victims are primarily boys between the ages of 14 to 17, but the FBI said any child could become a victim.
Meta said its investigation found the majority of the scammers' attempts did not succeed and mostly targeted adult men in the US, but added it did see "some" try to target minors, which Meta says it reported to the National Center for Missing and Exploited Children.
The removed accounts included a "co-ordinated network" of about 2500 accounts linked to a group of about 20 people who were running them, Meta said.
In April, Meta announced it was deploying new tools in Instagram to protect young people and combat sexual extortion, including a feature that will automatically blur nudity in direct messages.
Meta is still testing the features as part of its campaign to fight sexual scams and other forms of "image abuse", and to make it tougher for criminals to contact teens.