(417) 5

Part of 1994 Tournament Of Towns

Problems(1)

TOT 417 1994 Spring A S5 integer that divides M. after crossing 1 digit

Source:

Find the maximal integer

M

with nonzero last digit (in its decimal representation) such that after crossing out one of its digits (not the first one) we can get an integer that divides

M

.
(A Galochkin)

number theoryDigitsdivisibledivides