The men, aged between 33 and 60, were interviewed as part of a month-long operation concerning reported abuse in Bradford, West Yorkshire Police said.
The offences are alleged to have taken place in the district between 2002 and 2009 and relate to one female victim.
The men have been released pending further inquiries, the force added.
Det Ch Insp Alan Weekes, of West Yorkshire Police, said the investigation formed part of the force's work looking at both current and non-recent sexual offences against children.
"We would urge anyone who has been a victim of sexual abuse, whether recent or historic, to report it to the police", he said.
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