Mature men are allowed to marry prepubescent girls in Islam.
The Quran in Sura 65:1, 4 says:
65:1 O Prophet, when you (and the believers) divorce women, divorce them for their prescribed waiting-period and count the waiting-period accurately . . . 4 And if you are in doubt about those of your women who have despaired of menstruation, (you should know that) their waiting period is three months, and the same applies to those who have not menstruated as yet. As for pregnant women, their period ends when they have delivered their burden. (Maududi, vol. 5, pp. 599 and 617)
Maududi correctly interprets the plain meaning of verse 4, which appears in the context of divorce:
Therefore, making mention of the waiting-period for girls who have not yet menstruated, clearly proves that it is not only permissible to give away the girl at this age but it is permissible for the husband to consummate marriage with her. Now, obviously no Muslim has the right to forbid a thing which the Qur'an has held as permissible. (Maududi, vol. 5, p. 620, note)
Divorcing prepubescent girls implies marriage to them. So the fathers of prepubescent girls may give them away, and their new husbands may consummate their marriage with them. If Islam ever spread around the world, no one should be surprised if Quran-believing Muslims lowered the marriage age of girls to nine years old.
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Minimum marriage age in various Islamic countries:
Brunei: no minimum marriage age specified
Kuwait: no substantive minimum marriage age identified
Iran: Civil Code provides that marriage contracted before puberty is invalid unless authorized by natural guardian with ward's best interests in mind. When authorized before puberty, minimum age is nine. Marriages between Muslim women and non-Muslim men are not recognized
Palestinian Territories of West Bank and Gaza Strip: Gaza Strip- LFR 1954 required puberty and made 9 (female) and 12 (male) minimum ages; Palestinian Qadi al-Quda issued administrative decision in 1995 raising these to 15 female and 16 male.
Sudan: Puberty, with requirement for willing consent of both parties.
All ages by lunar years