Disabling Two-Factor Authentication Through Instagram
You can either disable the Two-Factor authentication via the Instagram app or via the Instagram website:
Disabling 2FA through the Instagram App:
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Click on your profile at the bottom right of your screen.
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Click the 'Menu' icon indicated by three little lines at the top right of your screen, then click "Settings" at the bottom.
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Under "Privacy and Security", click "Two-Factor Authentication" and make sure that BOTH Text Message and Authentication App options are DISABLED.
Disabling 2FA through the Instagram Website:
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Open Instagram.com and login.
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At the top right of your screen, click the profile icon.
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To the right of "Edit Profile", click the gear icon to access settings, then click "Privacy and Security".
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Scroll down and under "Two-Factor Authentication", click "Edit Two-Factor Authentication Settings".
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Make sure that BOTH "Text Message" and "Authentication App" boxes are UNCHECKED.