Draupadi had five sons i.e. one by each of the Pandavas. They are as follows -
1) Prativindhya from Yudhishthira,
2) Sutasoma from Bheema,
3) Srutakarma from Arjuna,
4) Satanika from Nakula, and
5) Srutasena from Sahadeva.
But they could not survive the war of Mahabharata, here is the detail -
On the last night of the war after Duryodhan's death and Kaurava defeat, a very disturbed and restless Ashwatthama along with other surviving Kaurava warriors - Kritavarma and Kripacharya and attacked the Pandava camp on the 18th night of the Kurukshetra war. He killed Dhrishtadyumna, Shikhandi and many other prominent warriors of Pandava army while they were sleeping.
He killed all the five Upapandavas (Pandava's Sons) during their sleep. In some versions of the story, he believes them to be the five Pandava brothers; in others, he purposefully attacks the Pandavas' heirs in order to hurt the Pandavas emotionally.