The media regulator received 35 complaints over fears that Alison Brunton's teenage children could be bullied after being shown watching their mother perform Lady GaGa's 'The Edge of Glory'.
Brunton appeared on the September 1 episode with her children, a 14-year-old girl and 16-year-old boy, who were repeatedly shown looking humiliated by their mother's singing.
Section 1 of the Ofcom broadcasting code states that networks have a responsibility to take "due care of the physical and emotional welfare and dignity of people under 18".
Ofcom will also consider whether an audition by Britney Spears impersonator Lorna Bliss, which aired before the 9pm watershed on September 9, breached taste and decency rules, The Guardian reports.
Ofcom received 34 complaints over the performance, which saw Bliss give Louis Walsh a lapdance while wearing a body stocking.
An ITV spokeswoman said: "The X Factor does not include child contestants but takes the welfare of any children featured in the show very seriously.
"It is a well-established format and contestants regularly bring along their family to support them as Alison did. Footage of family members is only used when appropriate consent has been obtained."
She added: "Lorna's performance and its editing was carefully considered by the producers and ITV. We do not believe her routine exceeded generally-accepted standards or the expectations of the vast majority of the audience."