<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019f90ae-e3b4-784c-8939-20ccd410b9be,g:c0db7f81-f07d-4eee-b2ef-b053b6b6c0d9-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://factorialenergy.com/role/Cover" xlink:type="simple" xlink:href="fac-20260811.xsd#Cover"/>
  <link:presentationLink xlink:role="http://factorialenergy.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019f90ae-e3b4-72d3-bb3f-5d0809dde065" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable_019fdcae-6ee6-7c4b-b8f6-aec65af16cd3" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentInformationTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f90ae-e3b4-72d3-bb3f-5d0809dde065" xlink:to="loc_dei_DocumentInformationTable_019fdcae-6ee6-7c4b-b8f6-aec65af16cd3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_019fdcae-6ee6-71a3-af03-ab7de7141f31" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_019fdcae-6ee6-7c4b-b8f6-aec65af16cd3" xlink:to="loc_us-gaap_StatementClassOfStockAxis_019fdcae-6ee6-71a3-af03-ab7de7141f31" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_019fdcae-6ee6-7c0d-84c4-029417e8d2dd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_019fdcae-6ee6-71a3-af03-ab7de7141f31" xlink:to="loc_us-gaap_ClassOfStockDomain_019fdcae-6ee6-7c0d-84c4-029417e8d2dd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonClassAMember_019fdcae-6ee6-7319-b812-1c4c11e55e80" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonClassAMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_019fdcae-6ee6-7c0d-84c4-029417e8d2dd" xlink:to="loc_us-gaap_CommonClassAMember_019fdcae-6ee6-7319-b812-1c4c11e55e80" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_fac_SeriesACommonStockPrivateWarrantsMember_019fdcae-6ee6-7215-aff7-748f52936333" xlink:href="fac-20260811.xsd#fac_SeriesACommonStockPrivateWarrantsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_019fdcae-6ee6-7c0d-84c4-029417e8d2dd" xlink:to="loc_fac_SeriesACommonStockPrivateWarrantsMember_019fdcae-6ee6-7215-aff7-748f52936333" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentInformationLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_019fdcae-6ee6-7c4b-b8f6-aec65af16cd3" xlink:to="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019fdcac-1f6d-7af2-a307-a1ac18941655" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_DocumentType_019fdcac-1f6d-7af2-a307-a1ac18941655" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019fdcac-9ba0-769e-95ff-67d292ca639e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_DocumentPeriodEndDate_019fdcac-9ba0-769e-95ff-67d292ca639e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019fdcac-9ba0-7b82-a7e1-a8668b747b6a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityRegistrantName_019fdcac-9ba0-7b82-a7e1-a8668b747b6a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019fdcac-c4a9-7746-8301-75a4cf4cab1e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019fdcac-c4a9-7746-8301-75a4cf4cab1e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019fdcac-c4a9-783b-acda-47dfdd5d13a0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityFileNumber_019fdcac-c4a9-783b-acda-47dfdd5d13a0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019fdcac-c4a9-7f27-ae3a-4810bea64725" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityTaxIdentificationNumber_019fdcac-c4a9-7f27-ae3a-4810bea64725" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019fdcac-fd46-7c6f-ba75-bf84a143cf6d" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityAddressAddressLine1_019fdcac-fd46-7c6f-ba75-bf84a143cf6d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019fdcac-fd46-793d-a1d7-51ed966c3342" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityAddressCityOrTown_019fdcac-fd46-793d-a1d7-51ed966c3342" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019fdcac-fd46-718c-97b2-ffb36353504b" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityAddressStateOrProvince_019fdcac-fd46-718c-97b2-ffb36353504b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019fdcac-fd46-7f4c-9b73-4a409b71d1e0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityAddressPostalZipCode_019fdcac-fd46-7f4c-9b73-4a409b71d1e0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019fdcad-518b-73d8-86f7-f21ccca84f31" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_CityAreaCode_019fdcad-518b-73d8-86f7-f21ccca84f31" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019fdcad-518b-7d00-92d1-7575ed5cad9d" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_LocalPhoneNumber_019fdcad-518b-7d00-92d1-7575ed5cad9d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019fdcad-9850-7cb5-ad9b-fd01d4f03c89" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_WrittenCommunications_019fdcad-9850-7cb5-ad9b-fd01d4f03c89" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019fdcad-9850-7330-8cda-4ef93c98a985" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_SolicitingMaterial_019fdcad-9850-7330-8cda-4ef93c98a985" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019fdcad-9850-7350-aaaf-ca3813b04001" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_PreCommencementTenderOffer_019fdcad-9850-7350-aaaf-ca3813b04001" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019fdcad-9850-761e-a729-243f6bd6485a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019fdcad-9850-761e-a729-243f6bd6485a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019fdcae-6ee6-7362-86f4-7e111642dead" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_Security12bTitle_019fdcae-6ee6-7362-86f4-7e111642dead" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019fdcae-6ee6-7b22-8169-01a9409f69f4" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_TradingSymbol_019fdcae-6ee6-7b22-8169-01a9409f69f4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019fdcae-6ee6-726f-a88e-be05d2138bc0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_SecurityExchangeName_019fdcae-6ee6-726f-a88e-be05d2138bc0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019fdcaf-36a3-79c5-95c0-fbd3831ddf52" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityEmergingGrowthCompany_019fdcaf-36a3-79c5-95c0-fbd3831ddf52" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityExTransitionPeriod_019fdcaf-456f-7944-ae5c-4403df2f3b7c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityExTransitionPeriod"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityExTransitionPeriod_019fdcaf-456f-7944-ae5c-4403df2f3b7c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019fdcb0-7c0a-7e95-ad1f-181950e67c7b" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_AmendmentFlag_019fdcb0-7c0a-7e95-ad1f-181950e67c7b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019fdcb0-7c0a-77cb-8115-ac6e493d6f0e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019fdcae-6ee6-7955-8617-2a472ee960c1" xlink:to="loc_dei_EntityCentralIndexKey_019fdcb0-7c0a-77cb-8115-ac6e493d6f0e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
