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1 solution
If you factor out a 3 5 7 ! , you will get 3 5 7 ! ( 1 + 3 5 8 + ( 3 5 8 × 3 5 9 ) + ( 3 5 8 × 3 5 9 × 3 6 0 ) ) = 3 5 7 ! ( 4 6 3 9 6 8 0 1 ) = 3 5 7 ! ( 3 7 9 × 3 5 9 × 3 1 × 1 1 ) .
Therefore, 3 7 9 is the largest prime factor.