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Equity-Based Compensation Plans (Schedule of Outstanding Restricted Stock) (Details) (Long-Term Restricted Stock [Member], USD $)
3 Months Ended
Mar. 31, 2015
Long-Term Restricted Stock [Member]
 
Nonvested, beginning 45,219us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= fbp_LongTermRestrictedStockMember
Granted during the period 45,286us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= fbp_LongTermRestrictedStockMember
Vested during the period   
Forfeited or expired during the period   
Nonvested, ending 90,505us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= fbp_LongTermRestrictedStockMember
Nonvested, beginning $ 10.68us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= fbp_LongTermRestrictedStockMember
Granted during the period $ 17.33us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= fbp_LongTermRestrictedStockMember
Vested during the period   
Forfeited or expired during the period   
Nonvested, ending $ 14.01us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= fbp_LongTermRestrictedStockMember