The Prince George's County school board will hold public hearings next week on a sweeping plan to close 31 elementary schools by 1983.

By closing the schools and consolidating the student bodies in the best of the remaining facilities, school officials hope to save $2.5 million next year and $16.1 million through 1986.

At the same time the plan would raise the average enrollments in the consolidated elementary schools, allowing a greater range of educational programs and more classes in each grade. According to the school figures, if no schools are closed or consolidated, 52 of the 123 elementary schools would have fewer than 300 students.

Half of the 31 elementary schools would be closed next fall, including three the board has already voted to close.

The school administration said it considered the present enrollment of each school and the future pattern of county population growth as well as the condition of all school facilities in devising the plan. The plan also is aimed at letting existing patterns of school busing for racial balance remain intact, with bused students following their classmates to the new schools.

Hearings on the part of the plan that will close 13 junior high schools over the same period were held last week. Elementary School Consolidations 1981-82

1. Accokeek merges with Henry Ferguson, closing Accokeek.

2. Beaver Heights merges with Seat Pleasant, closing Beaver Heights.

3. Berwyn Heights consolidates with Springhill Lake, Hollywood and Riverdale, closing Berwyn Heights.

4. Buckingham consolidates with Kenilworth and Tulip Grove, closing Buckingham.

5. Camp Springs merges with Allenwood, closing Camp Springs.

6. Forestville merges with Morningside, closing Forestville.

7. Greenbelt North End consolidates with Greenbelt Center and John Carroll, closing Greenbelt North End.

8. J. Enos Ray consolidates with Carole Highlands, Ridgecrest and Hyattsville, closing J. Enos Ray.

9. Parkway merges with Ridgecrest, closing Parkway.

10. Ritchie consolidates with Arrowhead, North Forestville and Oakcrest, closing Ritchie.

11. Meadowbrook consolidates with Chapel Forge and Rockledge, closing Meadowbrook.

12. Samuel Morse consolidates with Deerfield Run, James Harrison and Montpelier, closing Samuel Morse.

13. Surrattsville consolidates with Clinton Grove and Waldon Woods, closing Surrattsville.

14. Tanglewood consolidates with Francis T. Evans and Melwood, closing Tanglewood.

15. Thomas Addison merges with Fort Foote, closing Thomas Addison. 1982-83

16. Andrews Air Force Base consolidates with James R. Randall, Princeton and Skyline, closing Andrews AFB.

17. and 18. Beltsville and Chestnut Hills merge as one school in the closed Beltsville Junior High, closing Beltsville and Chestnut Hills.

19. Crestview merges with Brandywine, closing Crestview.

20. Powder Mill merges with Calverton, closing Powder Mill.

21. Riverdale Hills consolidates with Riverdale, Templeton and Seat Pleasant, closing Riverdale Hills.

22. Rosecroft Park merges with Apple Grove, closing Rosecroft Park.

23. Tall Oaks consolidates with Heather Hills, Kettering, Pointer Ridge and Woodmore, closing Tall Oaks. 1983-84

24. Colmar Manor consolidates with Mt. Rainier and Thomas Stone, closing Colmar Manor.

25. Harmony Hills merges with Potomac Landing, closing Harmony Hills.

26. Kentland merges with Columbia Park, closing Kentland.

27. and 30. Landover Hills and West Lanham Hills merge as one school in the closed Glenridge Junior High, closing Landover Hills and West Lanham Hills.

28.Margaret Edmonston consolidates with Bond Mill, Laurel and Oaklands, closing Margaret Edmonston.

29. Sandymount consolidates with Middleton Valley, Hillcrest Heights, Green Valley and Overlook, closing Sandymount.

31. Woodley Knoll consolidates with Edgar A. Poe, Bradbury Heights, John E. Howard and Shadyside, closing Woodley Knoll. Middle School Conversions 1981-82

Benjamin Tasker, Buck Lodge, Greenbelt, Hyattsville, Lord Baltimore, Nicholas Orem, Roger B. Taney, Samuel Ogle and William Wirt become middle schools, joining Thomas Jefferson, which converted in 1980-81.

Belair, Frederick and Sasscer and Mt. Rainier are closed. 1982-83

Andrew Jackson, Charles Carroll and Francis S. Key become middle schools, joining the previous conversions.

Beltsville, Rollingcrest, Spaulding and Suitland are closed. 1983-84

Dwight D. Eisenhower, Eugene Burroughs, G. G. Shugart, Gwynn Park, James Madison, Kenmoor, Martin L. King, Oxon Hill, Robert Goddard, Stephen Decatur and Thomas G. Pullen become middle schools, joining the others.

Bladensburg, Glenridge, JohnHanson, Laurel and Mary M. Bethune are closed. 1984-85

No changes. 1985-86

Benjamin Stoddert and Kettering become middle schools, completing the systemwide junior high conversion.

Surrattsville is closed. High School Conversions 1981-82

Bowie, Crossland and Parkdale become four-year schools in addition to DuVal and Eleanor Roosevelt, which converted in 1980-81.

Bladensburg, Frederick Douglass, Friendly, High Point and Northwestern begin partial ninth-grade classes and await eventual conversion. 1982-83

Northwestern, Suitland and Forestville/Spaulding (a new school) become four-year schools, in addition to those before.

Bladensburg, Frederick Douglass, Friendly and High Point remain with partial ninth-grade classes. 1983-84

Bladensburg, Fairmont Heights, Frederick Douglass, Friendly, High Point, Laurel, Oxon Hill, Parkdale and Suitland become four-year high schools in addition to the previous conversions.

Central, Largo, Potomac and Surrattsville begin partial ninth-grade classes and await eventual conversion. 1984-85

No changes. 1985-86

Largo, Potomac and Surrattsville become full four-year high schools and join the other 16 high schools.

Central retains its partial ninth-grade class.