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Yes, that is very true.

Koran, sura 33:50
O Prophet! Lo! We have made lawful unto thee thy wives unto whom thou hast paid their dowries, and those whom thy right hand possesseth of those whom Allah hath given thee as spoils of war, and the daughters of thine uncle on the father's side and the daughters of thine aunts on the father's side, and the daughters of thine uncle on the mother's side and the daughters of thine aunts on the mother's side who emigrated with thee, and a believing woman if she give herself unto the Prophet and the Prophet desire to ask her in marriage - a privilege for thee only, not for the (rest of) believers - We are Aware of that which We enjoined upon them concerning their wives and those whom their right hands possess - that thou mayst be free from blame, for Allah is ever Forgiving, Merciful.

From the hadith of Sahih Bukhari
Volume 5, Book 59, Number 362:
Narrated Ibn Umar:
Bani An-Nadir and Bani Quraiza fought (against the Prophet violating their peace treaty), so the Prophet exiled Bani An-Nadir and allowed Bani Quraiza to remain at their places (in Medina) taking nothing from them till they fought against the Prophet again) . He then killed their men and distributed their women, children and property among the Muslims, but some of them came to the Prophet and he granted them safety, and they embraced Islam. He exiled all the Jews from Medina. They were the Jews of Bani Qainuqa', the tribe of 'Abdullah bin Salam and the Jews of Bani Haritha and all the other Jews of Medina.

Volume 5, Book 59, Number 447:
The Prophet said to Sa'd,:
The Bani Quraiza have agreed to accept your verdict" Sa’d said, "Kill all their men and take their women and children as slaves" The Prophet replied, "You have judged according to God's Judgment"

Volume 4, Book 52, Number 280:
Narrated Abu Sa'id Al-Khudri:
When the tribe of Bani Quraiza was ready to accept Sad's judgment, Allah's Apostle sent for Sad who was near to him. Sad came, riding a donkey and when he came near, Allah's Apostle said (to the Ansar), "Stand up for your leader." Then Sad came and sat beside Allah's Apostle who said to him. "These people are ready to accept your judgment." Sad said, "I give the judgment that their warriors should be killed and their children and women should be taken as prisoners." The Prophet then remarked, "O Sad! You have judged amongst them with (or similar to) the judgment of the King Allah."

Koran, sura 8:41
And know that whatever ye take as spoils of war, lo! a fifth thereof is for Allah, and for the messenger and for the kinsman (who hath need) and orphans and the needy and the wayfarer, if ye believe in Allah and that which We revealed unto Our slave on the Day of Discrimination, the day when the two armies met. And Allah is Able to do all things.

After mohammeds army finished off the adult male portion of the Jewish tribe, his men took the woman as slaves. But mohammed was entitled for 1/5 of the booty. Amongst these woman was Safiya bint Huyai.

Safiya bint Huyai was allotted to a soldier called Dahia. But when Mohammed the ascetic heard of her 'incomparable beauty', he sent for Dahiya, paid him Safiya's price and married her. (Ibn Saad, al-Tabaqat, pp. 120-123).

Muslims claim she embraced islam at her own free will, but I doubt this, since they slaughtered her husband, family and friends.

From the hadith of SahihBukhari
Volume 2, Book 14, Number 68:
Narrated Anas bin Malik:
Allah's Apostle (p.b.u.h) offered the Fajr prayer when it was still dark, then he rode and said, 'Allah Akbar! Khaibar is ruined. When we approach near to a nation, the most unfortunate is the morning of those who have been warned." The people came out into the streets saying, "Muhammad and his army." Allah's Apostle vanquished them by force and their warriors were killed; the children and women were taken as captives. Safiya was taken by Dihya Al-Kalbi and later she belonged to Allah's Apostle go who married her and her Mahr was her manumission.

Volume 4, Book 52, Number 143:
Narrated Anas bin Malik:
The Prophet said to Abu Talha, "Choose one of your boy servants to serve me in my expedition to Khaibar." So, Abu Talha took me letting me ride behind him while I was a boy nearing the age of puberty. I used to serve Allah's Apostle when he stopped to rest. I heard him saying repeatedly, "O Allah! I seek refuge with You from distress and sorrow, from helplessness and laziness, from miserliness and cowardice, from being heavily in debt and from being overcome by men." Then we reached Khaibar; and when Allah enabled him to conquer the Fort (of Khaibar), the beauty of Safiya bint Huyai bin Akhtab was described to him. Her husband had been killed while she was a bride. So Allah's Apostle selected her for himself and took her along with him till we reached a place called Sad-AsSahba,' where her menses were over and he took her for his wife. Haris (a kind of dish) was served on a small leather sheet. Then Allah's Apostle told me to call those who were around me. So, that was the marriage banquet of Allah's Apostle and Safiya. Then we left for Medina. I saw Allah's Apostle folding a cloak round the hump of the camel so as to make a wide space for Safiya (to sit on behind him) He sat beside his camel letting his knees for Safiya to put her feet on so as to mount the camel. Then, we proceeded till we approached Medina; he looked at Uhud (mountain) and said, "This is a mountain which loves us and is loved by us." Then he looked at Medina and said, "O Allah! I make the area between its (i.e. Medina's) two mountains a sanctuary as Abraham made Mecca a sanctuary. O Allah! Bless them (i.e. the people of Medina) in their Mudd and Sa (i.e. measures)."