factorial.. incorrect prints for values larger than 1000.

factorial.bf

+++++++++++++++++++++++++++++++++           c1v33 : ASCII code of !
>++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++             c2v61 : ASCII code of =
>++++++++++                     c3v10 : ASCII code of EOL
>++++++++++                        c4v7  : quantity of numbers to be calculated
>                           c5v0  : current number (one digit)
>+                          c6v1  : current value of factorial (up to three digits)
<<                          c4    : loop counter
[                           block : loop to print one line and calculate next
>++++++++++++++++++++++++++++++++++++++++++++++++.  c5    : print current number
------------------------------------------------    c5    : back from ASCII to number
<<<<.-.>.<.+                        c1    : print !_=_

>>>>>                           block : print c6 (preserve it)
>                           c7v0  : service zero
>++++++++++                     c8v10 : divizor
<<                          c6    : back to dividend
[->+>-[>+>>]>[+[-<+>]>+>>]<<<<<<]           c6v0  : divmod algo borrowed from esolangs; results in 0 n d_n%d n%d n/d
>[<+>-]                         c6    : move dividend back to c6 and clear c7
>[-]                            c8v0  : clear c8

>>                          block : c10 can have two digits; divide it by ten again
>++++++++++                     c11v10: divizor
<                           c10   : back to dividend
[->-[>+>>]>[+[-<+>]>+>>]<<<<<]              c10v0 : another divmod algo borrowed from esolangs; results in 0 d_n%d n%d n/d
>[-]                            c11v0 : clear c11
>>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]]c13v0 : print nonzero n/d (first digit) and clear c13
<[++++++++++++++++++++++++++++++++++++++++++++++++.[-]] c12v0 : print nonzero n%d (second digit) and clear c12
<<<++++++++++++++++++++++++++++++++++++++++++++++++.[-] c9v0  : print any n%d (last digit) and clear c9

<<<<<<.                         c3    : EOL
>>+                         c5    : increment current number
                            block : multiply c6 by c5 (don't preserve c6)
>[>>+<<-]                       c6v0  : move c6 to c8
>>                          c8v0  : repeat c8 times
[
<<<[>+>+<<-]                        c5v0  : move c5 to c6 and c7
>>[<<+>>-]                      c7v0  : move c7 back to c5
>-
]
<<<<-                           c4    : decrement loop counter
]