1. Healthcare is one of the most important factors that needs to be improved if we want to escape poverty. If everyone is sick and dying they won't be able to go to school or do work, and will remain in the cycle of poverty. They won't be able to get educated, they can't go to work and earn money, and they can't do anything to better their standard of living.
2. Sanitation is also super important along with healthcare. With proper sanitation, people wouldn't be getting sick all the time, and there will be better environments for people to work or go to school. People will have the chance to escape poverty faster if only they had good healthcare and proper sanitation + hygiene.
3. Education is the most important thing after healthcare. If people are uneducated, they won't know how to help themselves escape poverty. And without education, they can't get good jobs with sustainable wages. Once the person has education, they will be able to work at a decent job.
These are just my starting points for you. You will have to add facts and reasons yourself. If you can think of anything else that you think adds to the cycle of poverty, feel free to write about it. (Example, you can write about weak government, few natural resources, poor infrastructure, etc.)